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Hi, and welcome to the Neil 
 
Ashton Podcast. 

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In each episode, we explain 
 
some of the fascinating ways 

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that science and engineering are

 changing the world around us. 

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We talk to leading engineers 
 
from elite level sports like 

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cycling and Formula One to some 
 of the world's top academics to

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understand how fluid dynamics, 

machine learning and 

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supercomputing are bringing in a
new era of discovery. 

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We also hear some of their life 
 stories, their career advice, 

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the lessons they've learned on 

the way that I hope will be 

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helpful to you too. 
 
So sit back and enjoy this 

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episode. 
 
Hi, and welcome back to the Neil

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Ashton Podcast. 
 
I just finished recording 

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today's episode with Professor 

Brian Launder, the incredible 

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person who has truly been one of

 The Pioneers and legends of 

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computational fluid dynamics and

 fluid dynamics more broadly. 

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He is most well known for the 
 
k-epsilon model, for the LRR 

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Reynolds-stress model. 
 
And I would argue, and I didn't 

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fully appreciate it until after 
 actually speaking to him, just 

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the number of people that he 
 
supervised, mentored and 

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brought, you know, these people 
 like Bill Jones and Kemal 

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Hanjalić and Michael Leschziner 
and Tim Craft and 
 Hector 

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Iacovides, who are people that 
themselves have gone on to 
 

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supervise people. 
You know, this is the thing with

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 academia. 
One of the core roles I believe 

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 of of as a professor is 
research, of course, but the 
 

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people that they nurture and 
then bring on to go into 
 

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industry, go into academia is 
the real credit. 
 

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And so many people have 
benefited from from what he's 
 

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done. 
It's hard to believe that most 


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of this stuff was done in the 
1970s, fifty years ago. 
 

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Today we are still using the K 
epsilon model. 
 

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If you're doing a CFD simulation
of many different objects, 
 

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whether you know heat transfer 
cars, engines, you're probably 


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using what the k-epsilon or some
variant of it or, or Reynolds 
 

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stress model. 
And the fact that that was done 

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 in the 70s when computers, you 
know, he was telling us that you

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 have to walk up to the 
building. 

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There was no SSH remote access 

punch cards, you know, the codes

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were just being written. 
 
It was incredible. 

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I genuinely in awe of the 
 
development that happened back 

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then and it we we went through 

essentially his life story from 

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his undergraduate years moving 

across to the US from Imperial 

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to then MIT coming back to 
 
Imperial, the role of Brian 

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Spalding, a key interesting one 
 that we reflect on at the 

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beginning and the end, you know,

 incredible at that time, the 

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turbulent time of how the CHAM 
code came about and some of the 

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tensions around that. 
 
His ultimate move to UMIST now 

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the University of 
 Manchester. 
And as I said, the the key 
 

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developments around the eddy 
viscosity model, second moment 


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closure models, but also things 
like the wall functions that I 


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mentioned to him is now even 
more relevant in the context of 

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 wall-modelled LES etcetera. 
And just yeah, an incredible 
 

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person. 
And I think some of the advice 


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and lessons you get from it, it 
reminds you even the greatest 
 

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people have some of the 
challenges that that we have. 
 

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And, and they don't realize at 
the time the amazing work that 


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they're doing. 
But yeah, really, really special

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 person. 
And someone I really liked 
 

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speaking to, you know, he's a 
fellow with the Royal Society. 


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He's he's done so many things. 
He's you know, how many good 
 

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citations, you know, 10s of 
thousands, super high h-index, 

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all of all of the things, of 
course, that a top professor 
 

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would have. 
So if you're looking for the 
 

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pinnacle of people in the 
simulation world, quite a few of

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 his people he supervised and 
worked with have now gone off 
 

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into some of these major 
multibillion dollar companies. 


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In fact, if you use these big 
simulation codes, many of them 


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are the foundations are on the 
work that the professor Brian 
 

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Launder was part of or, or or 
leading. 
 

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And so, yeah, really interesting
story as as we've ever. 
 

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There was lots of things that I 
could have asked him. 
 

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We did talk a little bit about 
some of the rivalry with 
 

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Spalart, Menter and Wilcox and, 
of course, you know, 
 Professor

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Launder is a gentleman. 
And then I genuinely think his 


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focus was more on the research. 
But it's always interesting to 


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us who used turbulence models to
understand, you know, what was 


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the difference between these 
these key figures, I guess at 
 

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the time. 
But so I hope you enjoy this 
 

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episode. 
I genuinely really did. 
 

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I, I mentioned that I studied 
the University of Manchester. 
 

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I was taught by Professor 
Launder's. 
 

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So it was one of my good 
friends, Alastair West, who was 

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 also his last PhD student. 
And yeah, it's it was an honor 


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to speak to him. 
And I hope you enjoyed this as 


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much as I did speaking to him. 
So sit back and enjoy this 
 

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episode with Professor Brian 
Launder. 
 

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Thank you very much for agreeing
to do this. 
 

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I really appreciate you taking 
the time to speak to me today. 


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And I thought maybe it would be 
good for the people listening 
 

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to, you know, hear about your 
early days, where it all began 


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and you starting off, you know, 
what did you do at university? 


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What was your undergraduate 
studies? 
 

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OK, well that doesn't sound a 
bad place to start. 
 

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Let's let's begin with early 
1961. 
 

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I was in the final year of my 
bachelor's program at Imperial 


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College. 
I found a topic that really 
 

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interested me, convective heat 
transfer, and I was doing a 
 

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final year project on flows 
related to boiling. 
 

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When I heard that the new 
professor of heat transfer was 


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going to talk about postgraduate
opportunities, I was quite 
 

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excited. 
I made sure to attend because I 

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 knew by then that I would like 
to do postgraduate work. 
 

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So I went along to the meeting 
that he was to address, and he 


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probably did talk about the 
range of opportunities that 
 

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there might be. 
But what I remembered were a 
 

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particular sentence or two that 
he presented us with. 
 

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He said, you well know that the 
college is being rebuilt, and 
 

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they're rebuilding it on the 
same site as the present 
 

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building. 
This will inevitably mean 
 

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interruptions and delays. 
So if you're looking for a fast 

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 PhD, you ought to go elsewhere.
This was a very deflating 
 

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statement from him. 
A day or two later, I asked my 


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closest friend in the course guy
called Hugh Kendrick what he 
 

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planned to do. 
He chuckled, looked at me and 
 

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said I'll probably go to 
America. 
 

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I fancy doing a master's program
at Yale or Princeton. 
 

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Which time I interrupted him and
said, you're talking rubbish. 
 

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What would a top American 
university do, having a thicko 


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like you? 
We both chuckled at that point 


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and moved on to other things. 
But you know, when I was alone 


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reflecting on this in the 
evening, I thought that's, 
 

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that's a pretty neat idea. 
So I wrote to a half dozen 
 

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universities in the USA seeking 
graduate or postgraduate 
 

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engagement there, together with 
funding. 
 

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Nothing happened for several 
weeks, of course, but then 
 

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responses started to come in and
I was absolutely delighted. 
 

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Princeton offered me a name 
scholarship that would cover my 

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 tuition fees, my living costs 
to do research on whatever I 

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wanted 
 to do. 
There was a second offer from 
 

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MIT that was specifically to 
work in boiling heat transfer, 


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which was a subject that I I was
really interested in. 
 

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However, the downsize was that I
had to earn my keep as a 
 

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teaching assistant, that I'd 
spend maybe 15, 20 even 20 hours

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a 
 week tutoring students 
probably brighter than me on on 

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the 
 various courses they'd be 
taking. 
 

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So I knew where my preference 
was, but I thought I'd go back 


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and ask her for an appointment 
with Brian Spalding to confirm 


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my choice. 
His secretary graciously gave me

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 a 5 minute interview slot. 
I went in and took perhaps a 
 

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minute describing my fortunate 
pair of choices and he said 
 

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Princeton. 
Huh. 
 

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Well, Princeton's Princeton. 
Bob Drake, who's just 
 

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co-authored a heat transfer 
textbook with Professor Eckert. 

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But you know, from my meetings 

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with him, Drake hasn't had an 
 
original idea in his life. 

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Go to MIT with Rohsenow and do 

boiling heat transfer. 

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This response somewhat deflated 
 me again, but equally I felt I 

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had to take take his advice and 
 reluctantly declined the 

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Princeton scholarship. 
 
But before I got to write to 

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MIT, a counter offer came in 
 
from their gas turbine 

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laboratory and the important 
 
difference was that they offered

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me not a teaching assistantship,

 but a research assistantship. 

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This meant that I would do 
 
research on one of their 

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projects, which would also 
 
become my thesis. 

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This was a no brainer for me at 
 any rate. 

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So I accepted that offer. 
 
I declined the heat transfer 

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offer, and I'm afraid that from 
 there on in my life, boiling 

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heat transfer had sunk beneath 

my horizon. 

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OK, Well, before I talk about my

 research at MIT and 

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thereafter, let me just switch 
back for a 
 minute to Hugh 

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Kendrick. 
We were talking one day and I 
 

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said to him, hey, I have 
accepted a postgraduate position

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 at MIT, where are you going? 
You'd talked about going to 
 

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Princeton or Yale. 
I suddenly realized I was 
 

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talking that someone with the 
blood draining from his face. 
 

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He was literally dumbfounded at 
what I told him. 
 

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Eventually he muttered that he 
had a he had a graduate 
 

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apprenticeship, signed up with 
Vickers, that he hadn't even 
 

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been looking at other 
opportunities. 
 

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He'd go and complete his 
postgraduate apprenticeship with

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 them. 
But then I could almost see the 

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 wheels turning around in his 
brain. 
 

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He said with you could see 
growing confidence, he said, But

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 I was under 21 when I signed 
that contract. 
 

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It's not enforceable. 
And I'm sure MIT will take in a 

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 thicko like you. 
They'll, they'll find a place 

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for me. 
 
Well, he was right. 

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They did find a place for him, 

but by then it was two or three 

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months after I'd been in touch 

with them. 

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They'd allocated all their 
 
funding for the year. 

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However, not to be deterred, he 
 applied to Caltech on the other

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side of America and was offered 
 a teaching assistantship. 

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And that was in August 1961. 
 
He and I sailed across in a very

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tiny cabin on the Queen Mary 
 
together. 

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Thereafter I caught the train up

 to MIT, or rather to Boston. 

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But then Boston is just across 

the Charles River in Cambridge 

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and not a just a short distance.

 

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He flew out to Los Angeles and 
indeed made the rest of his life

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 in America that. 
That's that's amazing. 
 

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And I I'm more interested and I 
don't know if other people 
 

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hearing this is the comment 
about sailing across from the 
 

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Queen Mary, mainly because now 
if I go to America and it'll 
 

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probably the same for you, you 
know, it's a flight. 
 

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How long did it take on the 
boat? 
 

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It was it was a five-day voyage.
It was convenient because we 
 

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worked on 25 hour days so that 
so that we are on the right 
 

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time. 
When we finally arrived in New 


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York, it was fine, fine sea 
journeys, a bit boring, you 
 

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know, try to amuse oneself. 
We had a tiny cabin, but we 
 

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would sneak through into the, 
I'm not sure if it was first 
 

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class or second class areas and 
were able to watch films and and

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 and so on in their luxury, 
luxury cinemas. 
 

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And so that they had on. 
It was an interesting experience

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 to do once. 
The other thing I remember was 


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that as we got close to New 
York, you close to? 
 

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Yeah, the final destination, the
air became more and more humid. 

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So now I remember a site sailing

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past the Statue of Liberty. 
 
Of course. 

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But it was absolutely 9090% 
 
humidity by then it it was 

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difficult. 
 
Anyway, that must have been a 

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moment, though, to see the 
 
Statue of Liberty coming to 

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America with your friend. 
 
Yeah, that's a that's a great 

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point. 
 
So what happened then when you 

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got to to MIT? 
 
How did you decide what research

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projects to welcome? 
 
Well, I was simply checked in 

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there and they gave me a folder 
 with perhaps 15 research 

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projects summarized in there, 
 
the sufficient amount of 

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background that one could make a

 decision, and I knew pretty 

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much straight away what my 
choice 
 would be. 

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At Imperial I'd learned the 
 
rudiments of boundary layer 

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transition. 
 
That is to say, a boundary layer

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developed initially was laminar,

 but then when the Reynolds 

223
00:14:08,400 --> 00:14:11,840
number got high enough, 
 
conditions were right for a 

224
00:14:11,840 --> 00:14:16,080
transition to a turbulent 
 
boundary layer and there and 

225
00:14:16,080 --> 00:14:19,320
turbulent it remained. 
 
But this this outline 

226
00:14:19,320 --> 00:14:24,040
description that I was reading 

said that couple of Soviet 

227
00:14:24,040 --> 00:14:29,520
scientists had found that in 
 
supersonic flow, if a turbulent 

228
00:14:29,520 --> 00:14:33,702
boundary layer was passed around

 what is called a a 

229
00:14:33,702 --> 00:14:37,264
Prandtl–Meyer expansion, 
essentially that's a 
 series of

230
00:14:37,264 --> 00:14:41,816
waves that one might go through 
in turning a corner 
 and the 

231
00:14:41,816 --> 00:14:44,945
flow is through that expansion 
greatly accelerated. 
 

232
00:14:44,953 --> 00:14:49,864
They found that downstream they 
had a laminar boundary layer 
 

233
00:14:49,872 --> 00:14:54,560
growing again. 
So this project outlines said 
 

234
00:14:54,568 --> 00:15:01,020
you will determine whether in 
subsonic flow a boundary layer 


235
00:15:01,028 --> 00:15:05,484
that's strongly accelerated also
can revert back to 

236
00:15:05,484 --> 00:15:10,862
turbulent—sorry, to laminar and 
I knew I had to take that it, it

237
00:15:10,862 --> 00:15:13,880
just 
 seemed very a very 
interesting topic and it 

238
00:15:13,880 --> 00:15:18,166
occupied the next 
 three years 
of my life doing doing research 

239
00:15:18,166 --> 00:15:21,680
there. 
 
And the outcome was that yes, 

240
00:15:21,960 --> 00:15:25,160
you could make a turbulent 
 
boundary layer go back to 

241
00:15:25,160 --> 00:15:27,560
laminar or at least towards 
 
laminar. 

242
00:15:27,640 --> 00:15:32,000
I established the acceleration 

parameter, dimensionless 

243
00:15:32,000 --> 00:15:36,200
acceleration parameter that 
 
would determine when that would 

244
00:15:36,200 --> 00:15:41,760
take place and how roughly how 

big the parameter was. 

245
00:15:41,840 --> 00:15:46,840
I even developed what would be 

called a simple integral profile

246
00:15:46,840 --> 00:15:50,200
method of predicting the 
 
phenomenon based on the idea 

247
00:15:50,200 --> 00:15:54,680
that whilst the viscous stresses

 were greatly increased by the 

248
00:15:54,960 --> 00:15:58,760
acceleration, that happened too 
 quickly for the turbulent 

249
00:15:58,760 --> 00:16:01,680
stresses to respond. 
 
So I just left those as they 

250
00:16:01,720 --> 00:16:06,240
were and doing calculations 
 
based on that idea pretty much 

251
00:16:06,320 --> 00:16:10,360
imitate mimic the experiments 
 
that I'd. 

252
00:16:10,480 --> 00:16:15,600
OK, so now having finished my 
 
work at MIT, what next? 

253
00:16:15,600 --> 00:16:20,760
There were there were jobs 
 
available for PhD graduates from

254
00:16:20,760 --> 00:16:26,200
MIT offering $14,000 or so a 
 
year, but I wasn't eligible to 

255
00:16:26,200 --> 00:16:32,280
apply for those. 
 
I'd taken a a Fulbright travel 

256
00:16:32,280 --> 00:16:36,880
grant to come across to the US, 
 but remember that at the end of

257
00:16:36,880 --> 00:16:40,880
it, I had to go back. 
 
So finding a job back in 

258
00:16:40,880 --> 00:16:46,560
England, I'd had one or two 
 
offers came in for postgraduate 

259
00:16:46,720 --> 00:16:50,960
research studentships. 
 
Not studentships, postgraduate 

260
00:16:51,920 --> 00:16:57,080
employment at government 
 
laboratories like the National 

261
00:16:57,080 --> 00:17:00,800
Gas Turbine Establishment, 
 
central electricity research 

262
00:17:00,800 --> 00:17:02,920
labs, and so on. 
 
They were. 

263
00:17:03,560 --> 00:17:07,079
They weren't uninteresting, but 
 they didn't quite tick all the 

264
00:17:07,079 --> 00:17:10,240
boxes. 
 
So I decided to write to Brian 

265
00:17:10,240 --> 00:17:15,760
Spalding again and wondering 
 
whether there was a post and he 

266
00:17:15,760 --> 00:17:20,680
said send a CV. 
 
So I sent a CV of what I'd 

267
00:17:20,920 --> 00:17:25,440
accomplished and I just was 
 
working on proofs of the 1st 

268
00:17:25,440 --> 00:17:29,800
paper that I'd written and I 
 
decided to send those along too 

269
00:17:29,800 --> 00:17:32,400
for good measure. 
 
It may sound a long time. 

270
00:17:32,400 --> 00:17:35,440
Everything was roughly 2 weeks 

between writing and getting. 

271
00:17:35,440 --> 00:17:36,600
I was just. 
 
Going to say yeah. 

272
00:17:37,240 --> 00:17:38,160
It wasn't. 
 
E-mail. 

273
00:17:38,720 --> 00:17:41,080
Yeah, yeah, there wasn't the 
 
e-mail response. 

274
00:17:41,080 --> 00:17:48,720
So anyway, 2 weeks later I I got

 a note from Spalding saying I 

275
00:17:48,720 --> 00:17:53,920
could expect the offer of a 
 
lectureship shortly, and sure 

276
00:17:53,920 --> 00:17:57,576
enough, two or three days later 
 there was a formal note from 

277
00:17:57,576 --> 00:18:02,128
the Registrar's department 
offering 
 me a position as a 

278
00:18:02,128 --> 00:18:06,394
lecturer at the bottom of the 
lecturer 
 scale, which at the 

279
00:18:06,394 --> 00:18:12,520
time was 1400 lbs a year. 
 
It didn't compare very well with

280
00:18:12,520 --> 00:18:16,320
what I could have earned in the 
 USA if I'd been eligible, but I

281
00:18:16,320 --> 00:18:20,200
forget this was Imperial College

 in London. 

282
00:18:20,800 --> 00:18:26,480
I was also awarded London 
 
Allowance and this was an extra 

283
00:18:26,480 --> 00:18:32,520
£60 a year. 
 
So I, I accepted like a shot and

284
00:18:32,520 --> 00:18:37,040
my early years at Imperial 
 
College were, were were just 

285
00:18:37,040 --> 00:18:39,880
delightful. 
 
I'd really a very light teaching

286
00:18:39,880 --> 00:18:41,960
load, but an interesting 
 
teaching load. 

287
00:18:41,960 --> 00:18:43,754
It was a master's level course. 
 

288
00:18:43,762 --> 00:18:46,223
I was asked to take in fluid 
mechanics. 
 

289
00:18:46,231 --> 00:18:51,860
I had plenty of time free to try
and get research students. 
 

290
00:18:51,868 --> 00:18:56,288
Sorry, research funding, but 
then I mentioned research 
 

291
00:18:56,296 --> 00:18:58,970
students. 
There was also an important 
 

292
00:18:58,978 --> 00:19:01,023
element there, Brian Spalding 
said. 
 

293
00:19:01,031 --> 00:19:06,260
Would I take over as my 
administrative load the process 

294
00:19:06,260 --> 00:19:12,255
 of research student admissions?
It meant that I, I looked at all

295
00:19:12,255 --> 00:19:17,287

 the proposals that came in, 
collected further references if 

296
00:19:17,287 --> 00:19:20,488
 these weren't provided, 
distributed the applications to 

297
00:19:20,488 --> 00:19:24,836
 members of staff that I thought
might be interested in taking 
 

298
00:19:24,844 --> 00:19:28,622
them and so on. 
But naturally I got first sight 

299
00:19:28,622 --> 00:19:34,546
 of all of the students, and it 
was from that site that I was 
 

300
00:19:34,554 --> 00:19:40,540
able to recruit both Bill Jones 
and Kemal Hanjalić the projects 

301
00:19:40,540 --> 00:19:45,950
 as my first PhD students. 
Now, viewers may well have heard

302
00:19:45,950 --> 00:19:51,912

 of these names because they've
they've both gone on to very 
 

303
00:19:51,920 --> 00:19:55,464
successful academic careers and 
published extensively in 
 

304
00:19:55,472 --> 00:19:58,248
Turbulence Modelling. 
Can I just ask you a question at

305
00:19:58,248 --> 00:19:59,480

 that point? 
Sure. 
 

306
00:19:59,488 --> 00:20:02,312
How? 
How did it feel to go back to 
 

307
00:20:02,320 --> 00:20:04,600
London? 
Because you've gone to Boston, 


308
00:20:04,608 --> 00:20:08,460
you've gone to MIT. 
Was it almost a nice feeling to 

309
00:20:08,460 --> 00:20:12,545
 come back now as a lecturer, 
not as a student be teaching? 
 

310
00:20:12,553 --> 00:20:16,130
You know, how did it feel to 
come back there? 
 

311
00:20:16,138 --> 00:20:19,052
Did it feel like progression 
with Spalding now as a fellow 
 

312
00:20:19,060 --> 00:20:23,465
member of the academic staff? 
I don't think I I felt was 
 

313
00:20:23,473 --> 00:20:26,450
terribly conscious of a change 
of status. 
 

314
00:20:26,458 --> 00:20:30,930
What I was aware of didn't, 
doesn't relate directly to your 

315
00:20:30,930 --> 00:20:36,174
 question, but was that some of 
the research students whom I got

316
00:20:36,174 --> 00:20:41,650

 to know a bit while I was 
doing my final undergraduate 

317
00:20:41,650 --> 00:20:45,812
year 
 experimental special 
tasks, they were still there 

318
00:20:45,812 --> 00:20:50,139
working on 
 their pitch. 
So it very much brought home to 

319
00:20:50,139 --> 00:20:54,612
 me Spalding his comment that if
you want a quick PhD, go 
 

320
00:20:54,620 --> 00:20:56,040
elsewhere. 
Yeah. 
 

321
00:20:56,048 --> 00:20:57,475
OK. 
OK. 
 

322
00:20:57,483 --> 00:21:01,280
So you sort of skipped ahead a 
little bit, almost, yeah. 
 

323
00:21:01,288 --> 00:21:05,909
Yeah. 
So how so how about, you know, 


324
00:21:05,917 --> 00:21:08,920
the research sort of project? 
How about with with Bill? 
 

325
00:21:08,928 --> 00:21:13,540
Jones, Bill Jones I basically 
continued PhD research, only we 

326
00:21:13,540 --> 00:21:18,612
 arranged that he would simply 
look at one particular 
 

327
00:21:18,620 --> 00:21:22,990
configuration of acceleration 
and that was flow between 
 

328
00:21:22,998 --> 00:21:26,386
converging planes. 
What I mean by converging planes

329
00:21:26,386 --> 00:21:29,390

 is we measured the boundary 
layer developing on that surface

330
00:21:29,390 --> 00:21:32,814

 and the and the other wall 
just sloped like this. 
 

331
00:21:32,822 --> 00:21:37,960
It's a very special geometry so 
far as accelerating boundary 
 

332
00:21:37,968 --> 00:21:42,760
layers is concerned because the 
thickness of the boundary layer 

333
00:21:42,760 --> 00:21:46,384
 goes down strictly in 
proportion to the velocity going

334
00:21:46,384 --> 00:21:48,520
up. 
 
So the Reynolds number of the 

335
00:21:48,520 --> 00:21:53,120
flow reaches an equilibrium in 

which it stays constant 

336
00:21:53,120 --> 00:21:57,320
thereafter and also the 
 
acceleration parameter 

337
00:21:57,320 --> 00:22:01,440
determining the reversion to 
 
laminar flow that also stays 

338
00:22:01,440 --> 00:22:03,760
constant. 
 
And what we discovered there 

339
00:22:03,760 --> 00:22:08,400
that there wasn't just a single 
 point first of all for various 

340
00:22:08,400 --> 00:22:12,440
levels of the acceleration 
 
parameter, you actually got a 

341
00:22:12,440 --> 00:22:18,400
frozen boundary layer was 
 
dissimilar from a turbulent 

342
00:22:18,400 --> 00:22:20,960
boundary layer. 
 
And this the viscous sub layer 

343
00:22:20,960 --> 00:22:24,560
was getting progressively 
 
thicker and thicker in what was 

344
00:22:24,560 --> 00:22:29,640
still a turbulent flow, a self 

preserving turbulent flow until 

345
00:22:29,640 --> 00:22:32,400
you reached a critical 
 
acceleration. 

346
00:22:33,440 --> 00:22:37,200
And at that level it you had a 

complete collapsed to turbulent 

347
00:22:37,200 --> 00:22:41,280
flow. 
 
So a a lot more came out from 

348
00:22:41,480 --> 00:22:45,080
from Bill Jones's study than I 

had I had achieved. 

349
00:22:45,280 --> 00:22:50,400
As for Kemal, we actually looked

 at a project sponsored by the 

350
00:22:50,400 --> 00:22:54,160
Berkeley Nuclear Laboratories. 

They asked us to determine 

351
00:22:54,160 --> 00:22:58,280
whether for flying a duct, 
 
whether the position where the 

352
00:22:58,280 --> 00:23:03,240
velocity reached its maximum 
 
would coincide with where the 

353
00:23:03,400 --> 00:23:05,720
turbulent shear stress fell to 

0. 

354
00:23:06,720 --> 00:23:10,877
They'd been doing tests 
 
themselves in flow through an 

355
00:23:10,877 --> 00:23:14,360
annulus with a rough inner core 
 tube and a smooth outer 

356
00:23:14,360 --> 00:23:19,680
containing tube and had assumed 
 that there was this coincidence

357
00:23:19,680 --> 00:23:24,840
and it gave them very hard to 
 
understand values for the 

358
00:23:24,840 --> 00:23:29,320
respective shear stresses on the

 rough and the smooth surface. 

359
00:23:29,480 --> 00:23:32,520
Could we sort it out, Judy? 
 
We did we he didn't look at an 

360
00:23:32,520 --> 00:23:37,800
annulus, we looked at parallel 

flow between parallel plates and

361
00:23:37,800 --> 00:23:40,000
found there was a huge 
 
difference. 

362
00:23:40,000 --> 00:23:45,120
That was a thesis very well, 
 
very well completed by Kimo. 

363
00:23:45,440 --> 00:23:49,920
Now I think the next point I 
 
should mention was research that

364
00:23:50,120 --> 00:23:55,484
Brian Spalding and his brilliant

 student Suhas Patankar had 

365
00:23:55,484 --> 00:23:58,970
done. 
They produced a very efficient, 

366
00:23:58,970 --> 00:24:02,445
 very easy to use boundary layer
code. 
 

367
00:24:02,453 --> 00:24:07,522
The only thing that it was weak 
on was its model of turbulence. 

368
00:24:07,522 --> 00:24:09,480
 
It it had the mixing length 

369
00:24:09,480 --> 00:24:12,388
hypothesis. 
 
Prandtl's 1925 paper. 

370
00:24:12,388 --> 00:24:19,920
In there, Spalding realised that
what he 
 needed was a much more

371
00:24:19,920 --> 00:24:25,480
sophisticated model, one that 
 
had individual velocity and 

372
00:24:25,480 --> 00:24:29,640
length scales of turbulence 
 
available, and not only the 

373
00:24:29,640 --> 00:24:35,040
these scales would be affected 

by diffusion, convection and 

374
00:24:35,040 --> 00:24:40,200
various source and sink terms. 

So he'd obviously chosen the 

375
00:24:40,200 --> 00:24:41,920
turbulence energy as one of 
 
them. 

376
00:24:42,680 --> 00:24:46,440
But then there was the issue of 
 what would you use to get the 

377
00:24:46,440 --> 00:24:50,600
turbulent length scale didn't 
 
have to be the length scale 

378
00:24:50,600 --> 00:24:54,380
itself because you already were 
 solving a transport equation 

379
00:24:54,380 --> 00:25:00,000
for the kinetic energy K. 
 
So any combination of K with L 

380
00:25:00,000 --> 00:25:02,680
would be a possibility. 
 
Indeed. 

381
00:25:02,680 --> 00:25:07,160
Wolfgang Rodi, Spalding's 
student 
 adopted the product of

382
00:25:07,160 --> 00:25:12,410
K * L where whereas Brian 
Spalding 
 himself had an 

383
00:25:12,410 --> 00:25:16,728
individual project underway and 
he chose 
 something he called 

384
00:25:16,728 --> 00:25:21,838
W, which basically amounted to K
divided 
 by the square of 

385
00:25:21,838 --> 00:25:24,852
length scale. 
OK, well one day Spalding said 


386
00:25:24,860 --> 00:25:28,779
to me, hey, would you like to 
join our group? 
 

387
00:25:28,787 --> 00:25:34,663
I put it to Bill and Kimmo and 
they thought that sounded a neat

388
00:25:34,663 --> 00:25:37,240

 idea. 
By then we'd started to explore 

389
00:25:37,240 --> 00:25:40,360
 elaborations of the mixing 
length hypothesis, but although 

390
00:25:40,360 --> 00:25:43,544
 we've published several papers 
on the topic, it clearly wasn't 

391
00:25:43,544 --> 00:25:46,652
 going to get anywhere. 
So one thing I should say 
 

392
00:25:46,660 --> 00:25:51,300
though, is that Kemal Hanjalić 
came from Yugoslavia and 
 

393
00:25:51,308 --> 00:25:54,685
Yugoslavia was a communist 
country at the time. 
 

394
00:25:54,693 --> 00:25:59,102
Naturally then he had learned 
Russian in school and that meant

395
00:25:59,102 --> 00:26:03,852

 he could, he could have ready 
access to the Russian literature

396
00:26:03,852 --> 00:26:09,360

 and came across a paper by 
somebody called Davidov, which 


397
00:26:09,368 --> 00:26:13,775
advocated in an otherwise 
totally unusable turbulence 
 

398
00:26:13,783 --> 00:26:18,744
model, but it advocated the use 
of epsilon, the energy 
 

399
00:26:18,752 --> 00:26:23,750
dissipation rate, OK, of, of 
turbulence that appealed to us 


400
00:26:23,758 --> 00:26:26,880
just physically. 
It was something that one could 

401
00:26:26,880 --> 00:26:31,235
 put one's hand on and hopefully
one day be able to measure 
 

402
00:26:31,243 --> 00:26:37,281
accurately. 
And thus that was what we chose.

403
00:26:37,281 --> 00:26:41,040

 
We produced that, I say we, but 

404
00:26:41,280 --> 00:26:45,280
I was sitting back, it was my 
 
research students that that were

405
00:26:45,280 --> 00:26:49,400
doing the computation. 
 
We produced the version of that 

406
00:26:49,800 --> 00:26:55,920
and we're delighted to discover 
 that precisely the same model 

407
00:26:56,560 --> 00:27:02,600
enabled us to compute both the 

free flows, that is to say of of

408
00:27:02,840 --> 00:27:08,003
mixing layer or a plane jet, but

 with the same model that we 

409
00:27:08,003 --> 00:27:11,320
used to compute flow along a 
flat 
 plate. 

410
00:27:11,320 --> 00:27:17,280
Neither of the options that 
 
Spalding and Rodi were using 

411
00:27:17,920 --> 00:27:22,280
achieved that. 
 
So it it was indeed real 

412
00:27:22,280 --> 00:27:25,040
progress. 
 
And fairly soon thereafter, 

413
00:27:25,040 --> 00:27:29,440
Brian Spalding advocated that 
 
the group's work should focus on

414
00:27:29,440 --> 00:27:33,640
what he called the k-epsilon 
 
model rather than either of the 

415
00:27:33,640 --> 00:27:37,760
alternatives. 
 
Of course, this model that we 

416
00:27:37,800 --> 00:27:42,280
arrived at, the k-epsilon eddy 

viscosity model, wasn't any good

417
00:27:42,280 --> 00:27:45,600
as it stood for either Bill or 

Kimo's research. 

418
00:27:45,680 --> 00:27:51,080
It needed great extension. 
 
For example, in Bill's case, he 

419
00:27:51,080 --> 00:27:55,360
had to deal with situations 
 
where one started with a 

420
00:27:55,360 --> 00:27:59,440
turbulent boundary layer and it 
 went back to or towards lamina.

421
00:27:59,880 --> 00:28:04,480
And so with the inner boundary 

condition that was being used 

422
00:28:04,480 --> 00:28:08,360
next to the wall wasn't strictly

 a wall boundary condition. 

423
00:28:08,520 --> 00:28:11,880
It assumed that across the 
 
viscous sub layer there was a 

424
00:28:11,880 --> 00:28:16,000
universal velocity profile. 
 
And so we didn't need to go 

425
00:28:16,000 --> 00:28:19,360
actually to the wall. 
 
We'd make our boundary condition

426
00:28:19,640 --> 00:28:23,840
out in the fully turbulent 
 
region just a millimetre or so 

427
00:28:24,000 --> 00:28:27,440
from the wall. 
 
That meant that he had to 

428
00:28:27,440 --> 00:28:32,600
develop and extend his model and

 it it was a major task so that

429
00:28:32,600 --> 00:28:38,480
it included all semi viscous 
 
effects that would modify both 

430
00:28:38,480 --> 00:28:43,200
kinetic energy that that wasn't 
 that difficult, but also also 

431
00:28:43,280 --> 00:28:46,400
energy dissipation rate. 
 
And this one was flying blind. 

432
00:28:46,400 --> 00:28:48,098
There was no experience in this.

 

433
00:28:48,106 --> 00:28:53,079
So he, he did a very good job 
and I'm glad to say that the 
 

434
00:28:53,087 --> 00:28:57,462
paper he and I produced 
describing it as being cited a 


435
00:28:57,470 --> 00:29:03,162
large number of times over 6000.
I think likewise for chemo, he 


436
00:29:03,170 --> 00:29:08,900
had been asked by sponsors to 
explain or indeed provide a 
 

437
00:29:08,908 --> 00:29:13,780
model for situations where the 
position of maximum velocity did

438
00:29:13,780 --> 00:29:17,472

 not coincide with the position
of 0 shear stress. 
 

439
00:29:17,480 --> 00:29:21,067
But of course with an eddy 
viscosity model, you can't do 
 

440
00:29:21,075 --> 00:29:23,685
that. 
They're linked by the definitive

441
00:29:23,685 --> 00:29:27,700

 link interlinkage between the 
mean field velocity gradient and

442
00:29:27,700 --> 00:29:33,376

 the turbulent shear stress. 
So there what we did was provide

443
00:29:33,376 --> 00:29:37,468

 an additional independent 
transport equation for the 
 

444
00:29:37,476 --> 00:29:41,865
turbulent stress. 
Again, that paper has been 
 

445
00:29:41,873 --> 00:29:47,630
reasonably widely cited. 
I think both Kimmo and Bill and 

446
00:29:47,630 --> 00:29:52,551
 I felt at the times, though, 
that eddy viscosity modelling 
 

447
00:29:52,559 --> 00:29:56,458
wasn't the way to go for most 
cases. 
 

448
00:29:56,466 --> 00:30:01,440
We felt that you really needed 
to solve transport equations for

449
00:30:01,440 --> 00:30:05,224

 all the Reynolds stresses 
independently of the velocity 
 

450
00:30:05,232 --> 00:30:08,460
field. 
And curiously enough, Brian 
 

451
00:30:08,468 --> 00:30:14,640
Spalding was the agent enabling 
me to pursue that work. 
 

452
00:30:14,648 --> 00:30:19,624
Wolfgang Rodi by then had 
completed all his computations, 

453
00:30:19,624 --> 00:30:26,136
 but he was in the throes of 
trying to write a thesis that 
 

454
00:30:26,144 --> 00:30:30,024
met his supervisors very 
exacting standards in English. 


455
00:30:30,032 --> 00:30:37,098
His scholarship had run out by 
then and so I was able to hire 


456
00:30:37,106 --> 00:30:43,232
him as a a quasi postdoctoral 
fellow and together we worked on

457
00:30:43,232 --> 00:30:46,320

 developing a full stress 
transport model. 
 

458
00:30:46,328 --> 00:30:52,180
And in the time available that 
also went very, very well. 
 

459
00:30:52,188 --> 00:30:57,958
We produced a solver that 
nowadays known as the LRR model:

460
00:30:57,958 --> 00:31:01,383
Launder, Reece and Rodi in 
alphabetical order. 
 

461
00:31:01,391 --> 00:31:07,069
I'd I didn't so, and that too 
has been quite widely cited. 
 

462
00:31:07,077 --> 00:31:09,755
I think that's a little bit of 
an understatement. 
 

463
00:31:09,763 --> 00:31:12,366
I think they're quite widely 
used. 
 

464
00:31:12,374 --> 00:31:15,880
And maybe you just forward maybe
getting on to the next point, 
 

465
00:31:15,888 --> 00:31:19,474
just on this chapter, I guess 
would it be fair to say for 
 

466
00:31:19,482 --> 00:31:24,085
people to realize that all of 
the work prior to Spalding's 
 

467
00:31:24,093 --> 00:31:28,807
finite volume code was 
essentially experimental and you

468
00:31:28,807 --> 00:31:32,578

 were mainly deriving 
relationships from the 
 

469
00:31:32,586 --> 00:31:37,000
experimental data, There wasn't 
as much coding or numerical 
 

470
00:31:37,008 --> 00:31:39,848
simulation work. 
Is that correct? 
 

471
00:31:39,856 --> 00:31:45,254
It was I'd say 80 to 90% correct
there. 
 

472
00:31:45,262 --> 00:31:50,481
There was work on developing 
solvers people in the in the the

473
00:31:50,481 --> 00:31:55,668

 USA was were on to on to that 
a group at Los Alamos. 
 

474
00:31:55,676 --> 00:31:59,125
There were others in England. 
You mustn't forget Peter 
 

475
00:31:59,133 --> 00:32:02,770
Bradshaw also, although he was 
out and out an experimentalist. 

476
00:32:02,770 --> 00:32:04,800
 
He worked with a group at the 

477
00:32:04,800 --> 00:32:08,960
National Physical Laboratory 
 
that included some numerical 

478
00:32:08,960 --> 00:32:13,680
fluid mechanicians and they 
 
developed a scheme usually 

479
00:32:13,680 --> 00:32:19,000
called Bradshaw's method that 
 
indeed at the 1968 Stanford 

480
00:32:19,000 --> 00:32:23,800
conference was rather more 
 
successful than Spalding and 

481
00:32:23,800 --> 00:32:27,200
Patankar scheme with that had 
 
used the mixing length 

482
00:32:27,200 --> 00:32:32,160
hypothesis, of course. 
 
OK, So the this bringing 

483
00:32:32,160 --> 00:32:35,200
together, how did it work in 
 
practice at that point? 

484
00:32:35,200 --> 00:32:38,800
Was Spalding still essentially 

running the department? 

485
00:32:38,880 --> 00:32:42,480
And and so in some ways was that

 the slight you still had your 

486
00:32:42,480 --> 00:32:46,153
individual research groups, but 
 you were sort of merging in 

487
00:32:46,153 --> 00:32:48,640
one, you know, what was that? 
 
Because I can imagine he is the 

488
00:32:48,640 --> 00:32:52,080
senior professor here. 
 
You you're the How did that 

489
00:32:52,080 --> 00:32:55,600
relationship at that point? 
 
Well, well, Spalding was never a

490
00:32:55,600 --> 00:32:58,640
head of department. 
 
He was happy to be head of the 

491
00:32:58,840 --> 00:33:04,360
heat transfer section, OK, 
 
really the next, and he was 

492
00:33:04,360 --> 00:33:09,520
happy doing that. 
 
The next major change in my own 

493
00:33:09,520 --> 00:33:14,960
career also arose indirectly 
 
from Brian Spalding with the 

494
00:33:15,040 --> 00:33:18,000
success of this new boundary 
 
layer code. 

495
00:33:18,200 --> 00:33:21,920
And he had another code that 
 
handled recirculating flows too.

496
00:33:23,160 --> 00:33:27,960
There was a lot of interest 
 
outside of the university in 

497
00:33:28,160 --> 00:33:34,000
getting consultancy help on 
 
applying these new schemes to 

498
00:33:34,000 --> 00:33:37,840
flows that were of interest to 

the people in question. 

499
00:33:37,960 --> 00:33:41,280
Spalding initially tried 
 
handling that internally by 

500
00:33:41,280 --> 00:33:46,800
sharing tasks with trusted 
 
members of staff and they're 

501
00:33:46,840 --> 00:33:50,680
research students. 
 
But after a year or so, he he 

502
00:33:50,680 --> 00:33:55,080
just felt that wasn't working. 

He'd find somewhere outside of 

503
00:33:55,080 --> 00:33:59,240
the university. 
 
So he established an independent

504
00:33:59,240 --> 00:34:04,440
company, Concentration, Heat and
Momentum, or CHAM for short. 

505
00:34:04,440 --> 00:34:09,320
It established headquarters in 

Wimbledon and then he had the 

506
00:34:09,320 --> 00:34:16,280
enormous task of recruiting 
 
staff, completing the various 

507
00:34:16,760 --> 00:34:19,280
consultancy requests that were 

coming in. 

508
00:34:19,280 --> 00:34:25,520
And inevitably, even for someone

 as able as him, the activity 

509
00:34:25,520 --> 00:34:30,400
within the university itself, 
 
his academic role, they'd they 

510
00:34:30,400 --> 00:34:38,400
very much were on hold and this 
 this produced unhappiness with 

511
00:34:38,679 --> 00:34:44,560
within the department. 
 
Now, as it happened, one of the 

512
00:34:45,000 --> 00:34:48,600
Spalding's group had also been 

made a professor by then. 

513
00:34:49,080 --> 00:34:53,400
His name was Jim Whitelaw. 
 
He was an experimentalist in 

514
00:34:53,400 --> 00:34:57,800
fluid mechanics mainly, but the 
 idea developed that since he 

515
00:34:57,800 --> 00:35:02,090
was a professor, he was eligible
to 
 basically to lead a group 

516
00:35:02,090 --> 00:35:05,200
of staff. 
 
Maybe the head of department 

517
00:35:05,200 --> 00:35:08,680
would form something called the 
 fluid section, and those who 

518
00:35:08,680 --> 00:35:13,680
wanted would transfer their 
 
affinity from the heat transfer 

519
00:35:13,680 --> 00:35:17,240
section to the fluid section. 
 
What was the outcome of that? 

520
00:35:17,240 --> 00:35:19,390
You can guess absolute turmoil. 
 

521
00:35:19,398 --> 00:35:24,460
I won't go into the details of 
the battling, but essentially it

522
00:35:24,460 --> 00:35:30,292

 brought research to a halt. 
Then one day I had a telephone 


523
00:35:30,300 --> 00:35:34,070
call from the USA. 
It was from the head of 
 

524
00:35:34,078 --> 00:35:36,538
department at the University of 
California, Davis. 
 

525
00:35:36,546 --> 00:35:41,685
He'd been on sabbatical leave 
within Spalding's Group A couple

526
00:35:41,685 --> 00:35:44,992

 of years before. 
He and I had got to know each 
 

527
00:35:45,000 --> 00:35:48,395
other somewhat. 
So he called and he said 
 

528
00:35:48,403 --> 00:35:53,580
something like, hey, Brian, I 
really sorry to hear about the 


529
00:35:53,588 --> 00:35:58,182
problems that you guys have got 
in the department at the moment.

530
00:35:58,182 --> 00:36:00,200

 
I've been talking with the Dean 

531
00:36:00,200 --> 00:36:05,360
and he said to me that if I 
 
wanted to offer you a full 

532
00:36:05,360 --> 00:36:08,800
professorship to come here to 
 
Davis, that was that. 

533
00:36:09,480 --> 00:36:13,920
Would you be interested? 
 
I heard these words and just 

534
00:36:13,920 --> 00:36:17,800
just seemed like someone had I 

was drowning and that someone 

535
00:36:17,800 --> 00:36:21,760
had dropped a lifeline from a 
 
helicopter to pull me out of the

536
00:36:23,520 --> 00:36:26,520
So we I said yes without 
 
hesitation. 

537
00:36:26,520 --> 00:36:32,120
It took maybe well, we didn't 
 
get, didn't arrive in Davis 

538
00:36:32,120 --> 00:36:39,160
until, well, I think it was 96, 
 the summer of 1976, but we were

539
00:36:39,160 --> 00:36:41,200
very pleased to get there at the

 time. 

540
00:36:41,480 --> 00:36:46,080
What was it, what was it like 
 
though with your family, 

541
00:36:46,080 --> 00:36:48,120
children? 
 
Was that and that was a big 

542
00:36:48,120 --> 00:36:52,040
move, you know, big thing to 
 
move to the US, to leave London.

543
00:36:52,680 --> 00:36:56,040
Was it an excitement to do it in

 a way? 

544
00:36:56,040 --> 00:37:00,280
Was it a challenge to convince 

your wife and family to to go 

545
00:37:00,280 --> 00:37:04,800
with you? 
 
With my, my wife, she's Danish 

546
00:37:04,800 --> 00:37:09,194
and moving away from moving away

 from Europe was a big thing 

547
00:37:09,194 --> 00:37:15,000
for her. 
 
And I softened that by buying, 

548
00:37:15,640 --> 00:37:21,104
buying a property in France. 
 
My contract at Davis was for 

549
00:37:21,104 --> 00:37:26,142
nine months, that is to say just
just 
 just until June and then 

550
00:37:26,142 --> 00:37:29,080
you were free completely over 
the 
 summer. 

551
00:37:29,160 --> 00:37:33,800
And I'd have to say also that 
 
unlike, unlike Imperial College 

552
00:37:33,800 --> 00:37:37,800
that I just come out of staff 
 
didn't have administrative work 

553
00:37:37,800 --> 00:37:41,440
to do. 
 
There was other other workers 

554
00:37:41,440 --> 00:37:44,760
that handled all the 
 
administration academics were 

555
00:37:44,760 --> 00:37:47,320
there just to teach and do 
 
research. 

556
00:37:47,840 --> 00:37:52,520
So it did make sense having this

 nine month contract. 

557
00:37:52,520 --> 00:38:00,920
So what I agreed we do was in in

 the summer months, we, we come

558
00:38:01,440 --> 00:38:04,560
to Europe entirely, which would 
 give her more opportunity to 

559
00:38:04,560 --> 00:38:08,920
interact with friends and and so

 on. 

560
00:38:09,800 --> 00:38:13,600
Yes, we bought a rundown. 
 
We bought a rundown farmhouse 

561
00:38:13,600 --> 00:38:21,515
just north of Lyon and in the in

 the summer I would would drop 

562
00:38:21,515 --> 00:38:29,174
in two or three times a week to 
the 
 École Centrale de Lyon in 

563
00:38:29,174 --> 00:38:33,840
enjoying doing research 
 with 
new colleagues there. 

564
00:38:33,840 --> 00:38:38,520
My wife was happy at our our 
 
rather dilapidated farmhouse, 

565
00:38:38,520 --> 00:38:41,360
but that was that was a 
 
different life. 

566
00:38:41,360 --> 00:38:49,240
So, so yes, we will make that. 

But what about UC Davis then? 

567
00:38:49,240 --> 00:38:52,200
What was it like there? 
 
Well, the department was about 

568
00:38:52,200 --> 00:38:54,960
half the size of Imperial 
 
College. 

569
00:38:55,080 --> 00:38:57,880
Colleges staff did a lot more 
 
teaching. 

570
00:38:57,880 --> 00:39:00,680
They didn't have administration 
 to do, but they certainly did a

571
00:39:00,680 --> 00:39:02,920
lot more teaching. 
 
And some of them treated 

572
00:39:02,920 --> 00:39:07,920
research really like a hobby, 
 
something that they'd squeeze in

573
00:39:07,920 --> 00:39:11,960
when time allowed. 
 
Luckily I struck up a very good 

574
00:39:11,960 --> 00:39:16,720
working relationship with two 
 
staff there that really they 

575
00:39:16,720 --> 00:39:20,560
were experimentalists in various

 aspects of heat transfer and 

576
00:39:20,560 --> 00:39:25,680
they they invited me to join 
 
them to add a computational side

577
00:39:25,680 --> 00:39:28,400
to their activity. 
 
Probably the main thing though 

578
00:39:28,400 --> 00:39:32,680
that I should should mention is 
 that ONERA, which is the French

579
00:39:32,680 --> 00:39:38,640
equivalent of NASA ONERA, sent a

 post doc who had done his 

580
00:39:38,640 --> 00:39:42,760
doctorate in in turbulence 
 
modelling to work with me for a 

581
00:39:42,760 --> 00:39:44,320
year. 
 
I guess they thought that the 

582
00:39:44,320 --> 00:39:47,640
interaction of the two of us 
 
might be useful. 

583
00:39:47,800 --> 00:39:53,280
What he had done was produce an 
 equation, sorry, a turbulence 

584
00:39:53,280 --> 00:39:58,262
model not with one length scale,

 but two effectively length 

585
00:39:58,262 --> 00:40:01,960
scale equations that are used in

 different ways in his model. 

586
00:40:02,000 --> 00:40:06,160
I didn't find the model as 
 
presented in his thesis exactly 

587
00:40:06,160 --> 00:40:09,960
coherent. 
 
But we work together and agreed 

588
00:40:09,960 --> 00:40:14,360
that what we do would be to 
 
develop what's known as a multi 

589
00:40:14,360 --> 00:40:18,040
scale model. 
 
That is to say, we'd effectively

590
00:40:18,200 --> 00:40:22,920
cut the turbulent spectrum in 
 
half with a large scale part in 

591
00:40:22,920 --> 00:40:29,680
which eddies would capture mean 
 energy from the from the flow 

592
00:40:29,680 --> 00:40:35,880
and a medium and fine scale part

 that received energy from the 

593
00:40:36,320 --> 00:40:39,120
large scale turbulence and 
 
finally dissipated it. 

594
00:40:39,120 --> 00:40:43,120
That is so we had separate 
 
transport equations for the two 

595
00:40:43,120 --> 00:40:46,280
parts of turbulence. 
 
Davis didn't have a great 

596
00:40:46,280 --> 00:40:49,480
computing system. 
 
We could only look at simple 

597
00:40:49,480 --> 00:40:53,400
flows, which also suited very 
 
well the background of the 

598
00:40:53,520 --> 00:40:56,840
French visitor. 
 
So we looked at sudden 

599
00:40:56,880 --> 00:40:58,920
contractions, sudden 
 
distortions. 

600
00:40:58,920 --> 00:41:02,200
They were just, these were just 
 one-dimensional flows. 

601
00:41:02,480 --> 00:41:07,000
You could almost calculate them 
 by hand rather than using the 

602
00:41:07,000 --> 00:41:12,080
computer. 
 
Well anyway, the outcome of this

603
00:41:12,080 --> 00:41:16,800
was I felt quite spectacular. 
 
The simple flows which we did a 

604
00:41:16,840 --> 00:41:21,920
so so job on with previous 
 
models were now much better 

605
00:41:21,920 --> 00:41:25,520
predicted. 
 
You got a delayed response when 

606
00:41:25,520 --> 00:41:29,000
you put new energy in. 
 
You didn't get the dissipation 

607
00:41:29,000 --> 00:41:33,160
rate occurring straight away. 
 
There was a delayed response and

608
00:41:33,160 --> 00:41:37,120
that mimicked very well the 
 
experiments that more or less 

609
00:41:37,120 --> 00:41:38,920
brought us to the end of his 
 
year. 

610
00:41:38,920 --> 00:41:43,640
But I wanted to continue the 
 
research to include really the 

611
00:41:43,640 --> 00:41:46,760
sorts of flows that in 
 
engineering 1 is dealing with 

612
00:41:47,080 --> 00:41:51,280
boundary layers, mixing layers, 
 jets, wakes this, that and the 

613
00:41:51,320 --> 00:41:53,320
other. 
 
But in order to do that, the 

614
00:41:53,920 --> 00:41:56,560
Davis system wasn't really 
 
suitable. 

615
00:41:56,560 --> 00:42:01,000
That is to say, the computer 
 
gave too slow turn around for 

616
00:42:01,000 --> 00:42:05,120
model development. 
 
Also, well, I needed to get 

617
00:42:05,640 --> 00:42:08,120
funding if I was to get anyone 

else. 

618
00:42:08,200 --> 00:42:11,800
I couldn't easily recruit 
 
research students at Davis. 

619
00:42:11,800 --> 00:42:14,640
They didn't seem to want to do 

research in turbulence 

620
00:42:14,640 --> 00:42:19,080
modelling. 
 
But Kemal Hanjalić, I knew, was 

621
00:42:19,080 --> 00:42:22,280
struggling with the 
 
administration that had hit him.

622
00:42:22,280 --> 00:42:27,720
And having got funding from 
 
NASA, I invited him to come over

623
00:42:27,720 --> 00:42:32,800
for a year and join me. 
 
Now, as I say, the Davis 

624
00:42:32,800 --> 00:42:36,440
computing system wasn't up to 
 
it, but it wasn't difficult to 

625
00:42:36,440 --> 00:42:41,160
obtain computing resources at 
 
the the Lawrence Berkeley labs. 

626
00:42:41,200 --> 00:42:45,360
Now in those days, we're still 

talking about the 1970s. 

627
00:42:45,360 --> 00:42:47,640
You've you've got computing 
 
resources. 

628
00:42:48,240 --> 00:42:51,516
Laptops weren't invented and you

 sure didn't have anything 

629
00:42:51,516 --> 00:42:55,600
called remote access. 
 
In order to use these, one had 

630
00:42:55,600 --> 00:43:00,680
to get in one's car and drive 
 
the 60 miles or so down to the 

631
00:43:00,680 --> 00:43:05,040
Lawrence Berkeley labs, which 
 
had brilliant facilities at the 

632
00:43:05,040 --> 00:43:09,320
time. 
 
Well, Kimo mainly, but I, I in 

633
00:43:09,320 --> 00:43:13,040
joined in as well, worked on 
 
this problem for the best part 

634
00:43:13,040 --> 00:43:16,720
of a year. 
 
And I have to say the outcome 

635
00:43:16,720 --> 00:43:22,200
was disappointing. 
 
We made one or two improvements 

636
00:43:22,200 --> 00:43:25,480
that applied equally to single 

scale models. 

637
00:43:25,480 --> 00:43:29,200
But there was really in you, 
 
you're looking at flows like a 

638
00:43:29,200 --> 00:43:33,600
mixing layer where so much 
 
energy is captured from the mean

639
00:43:33,600 --> 00:43:38,120
flow into the turbulence that 
 
the medium and fine scale part 

640
00:43:38,120 --> 00:43:40,560
of the spectrum hardly had a 
 
look in. 

641
00:43:40,560 --> 00:43:46,120
So the results that we got for 

these flows were only marginally

642
00:43:46,120 --> 00:43:50,600
better than we had obtained with

 a single scale model. 

643
00:43:51,400 --> 00:43:55,520
End of story. 
 
I thought it worth mentioning 

644
00:43:55,520 --> 00:44:00,840
that because this brings home 
 
that what looked like very good 

645
00:44:00,840 --> 00:44:04,240
research directions sometimes 
 
don't don't work. 

646
00:44:05,360 --> 00:44:08,120
Which is, which is a good lesson

 for people, I guess. 

647
00:44:08,120 --> 00:44:11,920
Maybe you're well known for your

 successes with the k-epsilon 

648
00:44:11,920 --> 00:44:14,440
model and the LRR. 
 
But I guess if the point is not 

649
00:44:14,440 --> 00:44:16,680
all research comes out in 
 
success. 

650
00:44:16,880 --> 00:44:19,200
But maybe that's the point of 
 
research, isn't it? 

651
00:44:19,440 --> 00:44:21,280
Some stuff works. 
 
Indeed doesn't. 

652
00:44:21,280 --> 00:44:23,720
Yes. 
 
Well, there was something else 

653
00:44:23,720 --> 00:44:28,360
that arose from these trips down

 to Berkeley, because I got to 

654
00:44:28,360 --> 00:44:32,480
know the head of department at 

the University of California, 

655
00:44:32,480 --> 00:44:35,240
Berkeley. 
 
And one day he he said to me, 

656
00:44:35,400 --> 00:44:39,200
listen, I see you're down here 

quite regularly. 

657
00:44:39,240 --> 00:44:44,240
We need someone to teach 
 
turbulence modelling to our our 

658
00:44:44,320 --> 00:44:47,880
students here. 
 
And there are students asking to

659
00:44:47,880 --> 00:44:52,080
do research in that area, but we

 really don't have anyone that 

660
00:44:52,080 --> 00:44:56,560
could provide that role. 
 
What if we, we're in the same 

661
00:44:56,560 --> 00:45:02,640
university system as Davis? 
 
What if we arrange to hire you 

662
00:45:02,640 --> 00:45:04,408
for, let's say, one day a week? 
 

663
00:45:04,416 --> 00:45:06,229
It would be very easy to 
arrange. 
 

664
00:45:06,237 --> 00:45:11,396
And then when you're down here 
at the LBL, you could also call 

665
00:45:11,396 --> 00:45:15,328
 in here at the department, see 
students, give a lecture or two.

666
00:45:15,328 --> 00:45:17,480

 
And it seemed to me that that 

667
00:45:17,800 --> 00:45:22,080
that would work well. 
 
Again, I was delighted at this 

668
00:45:22,080 --> 00:45:23,960
suggestion. 
 
Couldn't wait to get back to 

669
00:45:23,960 --> 00:45:27,880
Davis to break the good news to 
 the head of department so he 

670
00:45:27,880 --> 00:45:32,520
could then just sign whatever 
 
forms were needed to bring the 

671
00:45:32,520 --> 00:45:35,800
change about. 
 
I told him and he said 

672
00:45:36,280 --> 00:45:39,880
absolutely not. 
 
If students know they can work 

673
00:45:39,880 --> 00:45:43,040
with you by going to Berkeley, 

they're not going to come to 

674
00:45:43,040 --> 00:45:45,760
Davis. 
 
I said to him, Alan, that that 

675
00:45:45,760 --> 00:45:48,960
doesn't make sense, it's because

 they won't come to Davis. 

676
00:45:49,200 --> 00:45:52,720
But I can. 
 
I can see great opportunities 

677
00:45:52,720 --> 00:45:55,520
from recruiting students in in 

Berkeley. 

678
00:45:55,960 --> 00:46:01,080
However, he was implacably 
 
opposed and I accepted it. 

679
00:46:01,080 --> 00:46:05,080
I liked life in California. 
 
It was was a bitter pill, but I 

680
00:46:05,080 --> 00:46:09,040
could swallow it. 
 
But then not very long later, I 

681
00:46:09,040 --> 00:46:14,920
got a phone call from England. 

It was the principle of UMIST, 

682
00:46:14,920 --> 00:46:18,000
that is to say Manchester's 
 
Institute of Science and 

683
00:46:18,000 --> 00:46:20,800
Technology. 
 
He said the head of thermofluids

684
00:46:20,800 --> 00:46:25,200
here has died and we're looking 
 to recruit his replacement. 

685
00:46:25,360 --> 00:46:28,000
A few people I've asked have 
 
suggested you might be 

686
00:46:28,000 --> 00:46:31,480
interested. 
 
I disabused him of of that idea.

687
00:46:31,480 --> 00:46:36,560
I said listen, I've only been 
 
here for 2 1/2 years, I put in a

688
00:46:36,560 --> 00:46:38,600
lot of effort. 
 
I haven't started reaping the 

689
00:46:38,600 --> 00:46:43,640
rewards of being here so it's 
 
it's too early for me to 

690
00:46:43,640 --> 00:46:48,240
consider coming. 
 
However, he kept persisting and 

691
00:46:48,240 --> 00:46:51,323
in the end I thought I'll take a

 short back trip back to 

692
00:46:51,323 --> 00:46:54,474
England, see my parents, haven't
seen 
 them for a while, then 

693
00:46:54,474 --> 00:46:58,525
I'll go up to Manchester, have 
the 
 interview and I'll 

694
00:46:58,525 --> 00:47:01,994
politely decline if they offer 
me a 
 position and life will 

695
00:47:01,994 --> 00:47:05,920
return to normal. 
 
And that was the plan that I put

696
00:47:05,920 --> 00:47:08,520
into motion. 
 
Spent a pleasant weekend with my

697
00:47:08,520 --> 00:47:14,000
parents, travelled to Manchester

 and had a whole day before the

698
00:47:14,000 --> 00:47:19,360
interview to be exposed to what 
 UMIST could offer. 

699
00:47:19,360 --> 00:47:23,280
And I have to say Neil, I was 
 
just blown away. 

700
00:47:24,200 --> 00:47:28,400
First of all, Thermofluids 
 
research had its own building 

701
00:47:28,480 --> 00:47:34,960
all through itself. 
 
It had 15 academic staff that I 

702
00:47:34,960 --> 00:47:40,160
would generally have 
 
responsibility for, but not just

703
00:47:40,280 --> 00:47:45,040
academic staff. 
 
There must have been at least 30

704
00:47:45,280 --> 00:47:50,240
technician staff and what are 
 
called experimental officers to 

705
00:47:50,240 --> 00:47:52,680
basically help push research 
 
along. 

706
00:47:52,920 --> 00:47:57,760
There were around computing 
 
staff, of course, at the end. 

707
00:47:58,120 --> 00:48:02,240
At this point in time everyone 

was using card decks and it 

708
00:48:02,240 --> 00:48:05,240
needed it, needed quite a lot of

 support. 

709
00:48:05,480 --> 00:48:09,480
But four or five full time 
 
positions, That was amazing. 

710
00:48:09,480 --> 00:48:13,840
Finally, at the end of the day, 
 I had an interview with the 

711
00:48:14,480 --> 00:48:19,080
principal himself. 
 
It was a relaxed chat really 

712
00:48:19,080 --> 00:48:22,300
over a glass of Sherry I recall.

 

713
00:48:22,308 --> 00:48:27,032
And he said, of course, if you 
do come here, there will be 
 

714
00:48:27,040 --> 00:48:30,090
administrative work you won't 
need to get involved in. 
 

715
00:48:30,098 --> 00:48:36,300
And to make it easier for you, 
you'll have a dowry appointment.

716
00:48:36,300 --> 00:48:38,760

 
Meaning that I could choose 

717
00:48:38,800 --> 00:48:43,680
anyone that I thought was would 
 going to be helpful to come and

718
00:48:43,680 --> 00:48:46,720
work as a lecturer. 
 
No interview, no anything. 

719
00:48:46,720 --> 00:48:50,560
It was just me saying I want to 
 have him. 

720
00:48:51,240 --> 00:48:56,640
It probably runs counter to to 

in nowadays, but it didn't at 

721
00:48:56,640 --> 00:49:00,960
that time. 
 
So at the end of that I had to 

722
00:49:00,960 --> 00:49:05,440
say I really wanted the 
 
interview the next day to go as 

723
00:49:05,440 --> 00:49:07,920
well. 
 
And it was a disaster. 

724
00:49:08,400 --> 00:49:12,800
I was taken into the room itself

 where the interview was 

725
00:49:12,800 --> 00:49:17,040
conducted. 
 
In front of me was a huge Oval 

726
00:49:17,040 --> 00:49:20,240
table. 
 
I was sat on one side of the 

727
00:49:20,240 --> 00:49:27,295
table and ranged all around the 
 other side were the 

728
00:49:27,295 --> 00:49:30,496
questioners. 
There were about 10 or 12 there.

729
00:49:30,496 --> 00:49:31,920

 
The principal was there. 

730
00:49:31,920 --> 00:49:38,280
He introduced me, welcomed me, 

introduced me to the other. 

731
00:49:38,880 --> 00:49:42,760
Other people on the panel think 
 he maybe even asked me a couple

732
00:49:42,760 --> 00:49:44,600
of soft questions which I dealt 
 with. 

733
00:49:44,600 --> 00:49:49,400
But then he stepped back and 
 
turned me loose to these hyenas 

734
00:49:49,600 --> 00:49:54,040
that ravaged me for the next 50 
 minutes or so. 

735
00:49:54,040 --> 00:49:57,320
They were obsessed with 
 
something called the Finniston 

736
00:49:57,320 --> 00:50:02,320
Report, a report, a government 

produced report by Lord 

737
00:50:02,320 --> 00:50:08,320
Finniston or whoever that looked

 at potential changes in the 

738
00:50:08,480 --> 00:50:10,640
training and development of 
 
engineers. 

739
00:50:10,640 --> 00:50:14,720
I think by then it had been 
 
recognized that Britain didn't 

740
00:50:14,720 --> 00:50:18,240
recognize engineers to the 
 
extent that someone somewhere 

741
00:50:18,240 --> 00:50:22,000
like Germany or Japan did. 
 
And of course these these 

742
00:50:22,000 --> 00:50:25,960
countries, despite the set back 
 of the Second World War, were 

743
00:50:26,040 --> 00:50:30,480
already very advanced and 
 
overtaking other European 

744
00:50:30,480 --> 00:50:34,120
countries. 
 
I honestly, I've been in America

745
00:50:34,120 --> 00:50:38,480
for 2 1/2 years. 
 
I didn't have a clue about what 

746
00:50:38,480 --> 00:50:43,280
my reactions should be. 
 
Likewise, and I could have 

747
00:50:43,280 --> 00:50:47,680
anticipated this, there were a 

lot of questions related to what

748
00:50:47,680 --> 00:50:52,160
management style I would apply 

if I had the post. 

749
00:50:52,800 --> 00:50:54,920
I hadn't been talking about 
 
management. 

750
00:50:54,920 --> 00:50:59,040
I'd I wanted to do research and 
 do some creative teaching. 

751
00:50:59,400 --> 00:51:05,840
So again, my my questions were 

were very weak. 

752
00:51:05,840 --> 00:51:10,840
I felt at the end of an hour 
 
they released me to catch the 

753
00:51:10,840 --> 00:51:14,680
plane back to California. 
 
I remember my wife meeting me 

754
00:51:15,240 --> 00:51:19,120
and she was quite excited. 
 
She said, well, how was it? 

755
00:51:19,120 --> 00:51:23,080
Did it did it meet your hopes? 

We will we be going there? 

756
00:51:24,040 --> 00:51:29,400
And I held my hand up and said 

the job looked fantastic and I 

757
00:51:29,400 --> 00:51:33,240
made it a real terrible job of 

the interview. 

758
00:51:33,720 --> 00:51:37,840
That's the end. 
 
So I mentally got back to my 

759
00:51:37,840 --> 00:51:41,840
work in Davis. 
 
But you know, a week later the 

760
00:51:41,840 --> 00:51:44,960
principal phoned again and said 
 the job was mine. 

761
00:51:45,520 --> 00:51:50,240
It may have been a a fine 
 
decision because usually they 

762
00:51:50,240 --> 00:51:53,120
don't take that long in reaching

 a decision. 

763
00:51:53,480 --> 00:52:00,360
But anyway, I did accept the 
 
position and well, by the time I

764
00:52:00,720 --> 00:52:05,800
got loose from Davis, there were

 various entanglements that 

765
00:52:05,800 --> 00:52:10,440
slowed my departure. 
 
It was spring 1980. 

766
00:52:10,640 --> 00:52:13,360
After I'd accepted the 
 
appointment, the principal 

767
00:52:13,360 --> 00:52:18,080
pointed out that I wouldn't be 

really responsible for the 

768
00:52:18,400 --> 00:52:23,000
engine testing work that my 
 
predecessor had specialized in. 

769
00:52:23,600 --> 00:52:28,320
He had a right hand man for that

 work. 

770
00:52:28,600 --> 00:52:33,142
And if I was agreeable, he could

 be promoted to professor to 

771
00:52:33,142 --> 00:52:35,960
thus removing me from any 
 
responsibility. 

772
00:52:36,120 --> 00:52:41,920
And then that's what I very much

 agreed to and for my dowry 

773
00:52:41,920 --> 00:52:45,680
lectureship, I recruited Michael
Leschziner. 

774
00:52:46,560 --> 00:52:51,000
Michael had been my final PhD 
 
student before I left Imperial 

775
00:52:51,000 --> 00:52:54,080
College. 
 
In interim, he'd gone to work 

776
00:52:54,080 --> 00:52:56,120
with Wolfgang Rodi in 
 
Karlsruhe. 

777
00:52:56,120 --> 00:53:00,760
But when I suggested that he 
 
might rejoin me as a lecturer at

778
00:53:00,760 --> 00:53:03,160
Manchester, he was very happy to

 come. 

779
00:53:03,920 --> 00:53:08,480
So I was able to get off to a 
 
very good start there because I 

780
00:53:08,480 --> 00:53:13,360
could delegate to Mike 
 
Leschziner responsibility for 

781
00:53:13,800 --> 00:53:18,920
the developing software and 
 
generally looking after the 

782
00:53:18,920 --> 00:53:23,960
turbulence related work while I 
 got experimental work going. 

783
00:53:24,880 --> 00:53:30,120
In fact, I was very lucky in 
 
that while I was in Davis I'd 

784
00:53:30,120 --> 00:53:35,200
negotiated a contract with the 

Office of Naval Research, ONR as

785
00:53:35,200 --> 00:53:39,000
it's known. 
 
The person behind that was 

786
00:53:39,000 --> 00:53:44,760
someone who was very sceptical 

of CFD, of what CFD codes could 

787
00:53:44,760 --> 00:53:48,360
do at that time. 
 
In particular, he was interested

788
00:53:48,520 --> 00:53:52,760
in flow through heat exchangers,

 in particular, flow through a 

789
00:53:52,760 --> 00:53:59,160
tube, but in a tube that went in

 a series of U bends as you get

790
00:53:59,160 --> 00:54:03,080
in a heat exchanger. 
 
He said he didn't believe that 

791
00:54:03,160 --> 00:54:08,040
current CFD software could 
 
accurately predict what heat 

792
00:54:08,040 --> 00:54:11,960
transfer coefficients would 
 
arise from the complications 

793
00:54:11,960 --> 00:54:15,150
that the swirling flow that was 
 generated by these U bends 

794
00:54:15,150 --> 00:54:19,880
would create. 
 
Fine, I accepted that there was 

795
00:54:19,880 --> 00:54:23,480
no problem transferring the 
 
contract to Manchester. 

796
00:54:24,160 --> 00:54:28,680
So we got under way and after 
 
we'd got a very nice set of 

797
00:54:29,240 --> 00:54:33,934
results, not just for a circular

 U bend, circular section U 

798
00:54:33,934 --> 00:54:38,840
bend, we actually also produced 
 experimental results for a 

799
00:54:38,840 --> 00:54:42,840
square section U bend. 
 
Real heat exchangers don't have 

800
00:54:42,840 --> 00:54:48,200
a square section pipes, of 
 
course, but it was easier to do 

801
00:54:48,200 --> 00:54:53,000
the experiments using laser 
 
Doppler anemometry going through

802
00:54:53,160 --> 00:54:56,760
a plain surface rather than a 
 
circular surface at a time. 

803
00:54:56,760 --> 00:54:59,280
It took us a little while to 
 
work out how to do that. 

804
00:55:00,160 --> 00:55:06,680
Anyway, when we went to apply 
 
software to that we've we found 

805
00:55:07,200 --> 00:55:11,000
very poor agreement. 
 
The contract monitor was 

806
00:55:11,000 --> 00:55:13,200
delighted he'd been proved 
correct. 

807
00:55:13,560 --> 00:55:18,120
We carried on as well as we 
 
could refining the model. 

808
00:55:18,120 --> 00:55:24,880
We found in that case that that 
 taking the calculation all the 

809
00:55:24,880 --> 00:55:29,080
way to the wall was highly 
 
beneficial. 

810
00:55:29,240 --> 00:55:34,814
We at that point just put in the

 mixing length hypothesis 

811
00:55:34,814 --> 00:55:38,120
across the sub layer. 
 
Remember this, these were 

812
00:55:38,120 --> 00:55:40,720
three-dimensional flow 
 
calculations and although 

813
00:55:40,720 --> 00:55:43,960
computers were getting more and 
 more capable, the calculation 

814
00:55:43,960 --> 00:55:49,040
like flow 3 dimensional flow 
 
through a a succession of U 

815
00:55:49,040 --> 00:55:51,480
bends stretch the resources 
 
available. 

816
00:55:51,480 --> 00:55:57,680
OK, well we then went 
 
experimentally on to rotating U 

817
00:55:57,680 --> 00:56:01,440
bends. 
 
Now rotating U bends. 

818
00:56:01,960 --> 00:56:07,280
Heat exchangers don't rotate, 
 
but this configuration also 

819
00:56:07,280 --> 00:56:13,600
arises in tubes 1 millimetre in 
 diameter that are inside gas 

820
00:56:13,600 --> 00:56:17,920
turbine blades and because of 
 
the pressure there and other 

821
00:56:18,160 --> 00:56:21,680
other factors. 
 
So for Rolls Royce for several 

822
00:56:21,680 --> 00:56:28,880
years we continued looking at 
 
the impact that swirl has on in 

823
00:56:28,880 --> 00:56:32,800
that particular configuration. 

I think on the research 

824
00:56:33,240 --> 00:56:38,960
computing side rather we'd for 

my money, I'd more or less run 

825
00:56:38,960 --> 00:56:43,320
out of road. 
 
The there didn't seem to me much

826
00:56:43,320 --> 00:56:48,160
scope within the stress 
 
transport models or algebraic 

827
00:56:48,160 --> 00:56:51,240
simplifications thereof that we 
 could exploit. 

828
00:56:51,360 --> 00:56:55,560
And then one day in a reflective

 mode, I recalled a paper that 

829
00:56:55,760 --> 00:57:00,120
John Lumley had published in 
 
1978. 

830
00:57:01,160 --> 00:57:08,000
He made what I then asserted was

 a absurd suggestion that 

831
00:57:08,400 --> 00:57:13,080
turbulence should comply with 
 
what he called the two component

832
00:57:13,080 --> 00:57:16,520
limit. 
 
Turbulence, as you know, is 3 

833
00:57:16,520 --> 00:57:21,600
dimensional, John said. 
 
However, if you have a situation

834
00:57:21,600 --> 00:57:27,065
where the fluctuations just lie 
 in a plane, that is a state 

835
00:57:27,065 --> 00:57:31,280
that you should insist on your 

turbulence model agreeing with. 

836
00:57:31,480 --> 00:57:35,160
Indeed, he worked out a 
 
parameter that automatically 

837
00:57:35,160 --> 00:57:39,760
went to zero whenever you did 
 
have that two component state, 

838
00:57:39,960 --> 00:57:44,000
and thus it would be a useful 
 
parameter to use in one's 

839
00:57:44,000 --> 00:57:48,360
turbulence model. 
 
Well, in reflecting on this that

840
00:57:48,360 --> 00:57:54,268
day, I suddenly realised that as

 you went closer and closer to 

841
00:57:54,268 --> 00:58:00,160
a wall, the presence of the wall

 damped out fluctuations normal

842
00:58:00,160 --> 00:58:04,480
to the wall, so that then as you

 get close enough to the wall, 

843
00:58:04,480 --> 00:58:10,680
you indeed did have turbulence 

that was essentially 2 

844
00:58:10,680 --> 00:58:13,600
dimensional. 
 
At that instant I went from 

845
00:58:13,600 --> 00:58:17,360
being a critic to an 
 
enthusiastic supporter. 

846
00:58:17,800 --> 00:58:21,120
It was, it really was an 
 
overnight night thing. 

847
00:58:21,120 --> 00:58:26,720
I had two other students at the 
 time but worked on this. 

848
00:58:27,640 --> 00:58:32,520
I'm happy to mention the My name

 1 was Dimitri Tselepidakis and

849
00:58:32,520 --> 00:58:36,360
the other was Song Fu. 
 
Anyway, they made important 

850
00:58:36,360 --> 00:58:40,640
first steps, but then their 
 
names aren't linked with the TCL

851
00:58:40,640 --> 00:58:44,640
modelling simply because they 
 
were in at the development stage

852
00:58:44,760 --> 00:58:51,240
at the exploiting level. 
 
Though Li Xiaoping, another 

853
00:58:51,240 --> 00:58:57,240
Chinese student who now works 
 
for Fluent in the USA, He 

854
00:58:57,240 --> 00:59:02,779
applied the scheme both to flows

 along a flat plate, but also 

855
00:59:02,779 --> 00:59:06,280
to riblet flows in order to 
reduce 
 the drag. 

856
00:59:06,440 --> 00:59:09,680
The results from his 
 
computations came out well. 

857
00:59:09,680 --> 00:59:15,000
And then especially a little 
 
afterwards, Tim Craft looking at

858
00:59:15,000 --> 00:59:18,840
a whole range of turbulent flows

 found that that this two 

859
00:59:18,840 --> 00:59:23,320
component limit, the TCL model 

as we called it, did a brilliant

860
00:59:23,320 --> 00:59:28,600
job of imitating, mimicking the 
 effects of buoyancy 

861
00:59:28,600 --> 00:59:34,000
stratification on the behaviour 
 of the turbulent stresses much 

862
00:59:34,000 --> 00:59:38,960
better than the other the 
 
earlier LRR model that everyone 

863
00:59:38,960 --> 00:59:42,960
still uses. 
 
Maybe I can ask a quick 

864
00:59:42,960 --> 00:59:45,720
question. 
 
Actually on the TCL model, it 

865
00:59:45,720 --> 00:59:49,760
strikes me that from my 
 
understanding, that has probably

866
00:59:49,760 --> 00:59:53,880
the most, that was the peak of 

the most sophistication, the 

867
00:59:53,880 --> 00:59:57,400
most complexity in a turbulence 
 model in, in terms of the 

868
00:59:57,400 --> 00:59:59,148
number of equations, the 
completeness. 
 

869
00:59:59,156 --> 01:00:03,420
And yet if I look at fluent or, 
you know, other codes today, 
 

870
01:00:03,428 --> 01:00:06,928
it's probably still the case 
that people use their LR, you 
 

871
01:00:06,936 --> 01:00:10,499
know, LRR or SSG. 
Is there a reason you think that

872
01:00:10,499 --> 01:00:12,240

 the TCL wasn't adopted more 
widely? 
 

873
01:00:12,248 --> 01:00:14,704
Was it just too difficult to 
implement? 
 

874
01:00:14,712 --> 01:00:17,192
Do you have any? 
Yeah, thoughts. 
 

875
01:00:17,200 --> 01:00:22,823
On that, I think it may well be 
certainly what you suggest was a

876
01:00:22,823 --> 01:00:25,620

 contributor. 
Maybe maybe I didn't get 
 

877
01:00:25,628 --> 01:00:28,681
involved myself in trying to 
promote the model. 
 

878
01:00:28,689 --> 01:00:32,781
I don't know. 
Dave Wilcox I think has has done

879
01:00:32,781 --> 01:00:35,840

 a better job in in in 
advocacy. 

880
01:00:35,840 --> 01:00:40,640
Florian Menter's another name 
 
that is, is is an advocating 

881
01:00:40,640 --> 01:00:42,680
that approach. 
 
But well, I don't know. 

882
01:00:43,080 --> 01:00:45,342
It's a it's a thing of history. 
 

883
01:00:45,350 --> 01:00:48,680
My philosophy is often, and I 
just wonder whether that's why 


884
01:00:48,688 --> 01:00:53,139
the k-epsilon is still today one
of the most widely used is there

885
01:00:53,139 --> 01:00:56,775

 is a simplicity is often 
preferred because it's it's 
 

886
01:00:56,783 --> 01:01:00,349
easier to implement, it's easier
to debug, it's easier to get 
 

887
01:01:00,357 --> 01:01:02,824
right. 
And so sometimes I wonder 
 

888
01:01:02,832 --> 01:01:06,080
whether people are inherently 
favouring simpler models. 
 

889
01:01:06,088 --> 01:01:09,706
And so the k-epsilon, it's 
probably an easier model to 
 

890
01:01:09,714 --> 01:01:13,749
implement and test and use than 
the TCL model that is has more 


891
01:01:13,757 --> 01:01:17,226
places to make a mistake. 
I don't know if that's the 
 

892
01:01:17,234 --> 01:01:21,244
reason, it could be war. 
I I think as well you, you 
 

893
01:01:21,252 --> 01:01:24,832
touched on it, simplicity is a 
very key point. 
 

894
01:01:24,840 --> 01:01:31,478
But nowadays 1 is, is looking at
a situation where computers have

895
01:01:31,478 --> 01:01:36,757

 developed so much that if the 
k-epsilon model isn't good 

896
01:01:36,757 --> 01:01:42,006
enough, 
 perhaps you should use
a hybrid k-epsilon-LES approach.

897
01:01:42,006 --> 01:01:46,920

 
Yeah, and LES is conceptually 

898
01:01:46,920 --> 01:01:50,000
quite simple. 
 
The k-epsilon model is also 

899
01:01:50,000 --> 01:01:53,544
pretty simple. 
I think people can live with 
 

900
01:01:53,552 --> 01:01:57,760
that package, maybe more easily 
than solving rather obscure 
 

901
01:01:57,768 --> 01:02:03,160
looking models for the pressure 
strain hypothesis in the in the 

902
01:02:03,160 --> 01:02:06,445
 TCL. 
Yeah, but how about, you know, 


903
01:02:06,453 --> 01:02:10,235
Tim Craft, somebody who actually
taught me when I was at 
 

904
01:02:10,243 --> 01:02:13,256
university? 
He went further, right? 
 

905
01:02:13,264 --> 01:02:18,897
You went on to move to look at 
what I would consider I guess a 

906
01:02:18,897 --> 01:02:23,568
 blend or a theoretical blend of
trying to bring some of the 
 

907
01:02:23,576 --> 01:02:26,743
concepts of anisotropy into 
simpler models. 
 

908
01:02:26,751 --> 01:02:29,516
So this was the non linear cubic
models, right? 
 

909
01:02:29,524 --> 01:02:32,640
That was this the next stage, I 
guess, of the turbulence 

910
01:02:32,640 --> 01:02:35,405
modelling 
 work. 
Very much so. 
 

911
01:02:35,413 --> 01:02:40,880
Toyota had contacted me wanting 
to send one of their staff at 
 

912
01:02:40,888 --> 01:02:45,310
the time, Kazuhiko Suga, to work
with me, and I'd figured that 
 

913
01:02:45,318 --> 01:02:47,614
they wouldn't be interested in 
TCL modelling. 
 

914
01:02:47,622 --> 01:02:51,724
It really would be a step too 
far for this car manufacturer. 


915
01:02:51,732 --> 01:02:56,788
But we did agree to look at non 
linear eddy viscosity models. 
 

916
01:02:56,796 --> 01:03:02,720
There had already been half a 
dozen schemes that brought in 
 

917
01:03:02,728 --> 01:03:08,375
quadratic terms in addition to 
the principal linear term of an 

918
01:03:08,375 --> 01:03:12,990
 eddy viscosity model. 
We started off looking at those 

919
01:03:12,990 --> 01:03:18,480
 five schemes that already come 
forward and what we concluded 
 

920
01:03:18,488 --> 01:03:23,905
was that because these five 
models were also very different,

921
01:03:23,905 --> 01:03:26,995

 different magnitudes of 
coefficients for different 
 

922
01:03:27,003 --> 01:03:31,855
terms, these models had been 
designed so that they cope with 

923
01:03:31,855 --> 01:03:35,950
 one particular class of flow 
that a linearity viscosity model

924
01:03:35,950 --> 01:03:39,700

 didn't get right. 
We concluded that since the 
 

925
01:03:39,708 --> 01:03:44,660
models weren't anything like the
same, we would be wasting our 
 

926
01:03:44,668 --> 01:03:48,823
time to continue research at the
quadratic level. 
 

927
01:03:48,831 --> 01:03:54,860
So for the first time then, we 
we explored modelling at cubic 


928
01:03:54,868 --> 01:03:58,492
level. 
Cubic level of course brought in

929
01:03:58,492 --> 01:04:01,896

 many more potential terms, 
each with empirical coefficients

930
01:04:01,896 --> 01:04:06,040
to 
 tune. 
But Kazuhiko Suga very patiently

931
01:04:06,040 --> 01:04:11,890

 and very thoroughly looked at 
a whole wide range of flows that

932
01:04:11,890 --> 01:04:16,580

 were difficult or couldn't be 
predicted with a linear eddy 
 

933
01:04:16,588 --> 01:04:22,685
viscosity model, and we ended up
with a version that perhaps 
 

934
01:04:22,693 --> 01:04:28,085
wasn't the final word in cubic 
eddy viscosity modelling at at 


935
01:04:28,093 --> 01:04:35,071
least did a hell of a lot better
for a large number of flows than

936
01:04:35,071 --> 01:04:40,365

 than the quadratic models. 
So he was content. 
 

937
01:04:40,373 --> 01:04:45,823
I'd say after returning to 
Japan, he worked for a few years

938
01:04:45,823 --> 01:04:49,306

 with Toyota. 
But then this is interesting. 
 

939
01:04:49,314 --> 01:04:55,086
He got permission from Toyota to
move to a university position. 


940
01:04:55,094 --> 01:04:59,248
Oh nice. 
You could you could see that as,

941
01:04:59,248 --> 01:05:04,080

 as you've just said Neil, a 
simplification from from the 
 

942
01:05:04,088 --> 01:05:10,208
pinnacle of TCL modelling. 
And I guess the next step I took

943
01:05:10,208 --> 01:05:12,400

 in research went a step 
further. 

944
01:05:12,760 --> 01:05:19,400
What really bugged me was that 

still in commercial CFD, people 

945
01:05:20,000 --> 01:05:26,454
so frequently use wall functions

 based on this old idea and 

946
01:05:26,454 --> 01:05:32,116
very limited, a very limited 
idea 
 that the near wall 

947
01:05:32,116 --> 01:05:33,655
velocity profile was universal. 
 

948
01:05:33,663 --> 01:05:38,175
What could we do with that? 
Well, I worked on this with Tim 

949
01:05:38,175 --> 01:05:42,620
 Craft, who had become a 
lecturer at the time, and Hector

950
01:05:42,620 --> 01:05:46,459
Iacovides, an earlier student 
that had worked on flow around 


951
01:05:46,467 --> 01:05:49,309
bends with me, who was now a 
professor. 
 

952
01:05:49,317 --> 01:05:55,952
In fact, we decided we'd figure 
out a better way of building a 


953
01:05:55,960 --> 01:06:00,135
wall function. 
Indeed, we worked on 2 schemes. 

954
01:06:00,135 --> 01:06:02,480
 
There was a analytical approach.

955
01:06:02,480 --> 01:06:08,280
We took the view that although 

the near wall velocity profile 

956
01:06:08,560 --> 01:06:14,040
wasn't universal in most of the 
 flows that one would want to 

957
01:06:14,040 --> 01:06:19,880
look at, maybe the turbulent 
 
Eddy viscosity would be much 

958
01:06:19,880 --> 01:06:23,760
more nearly universal, 
 
Particularly as we agreed to 

959
01:06:23,760 --> 01:06:28,960
allow the viscous sub layer 
 
where there was 0 turbulent 

960
01:06:28,960 --> 01:06:31,400
mixing. 
 
According to our model, we could

961
01:06:31,400 --> 01:06:36,520
vary that in thickness depending

 upon the gradient of shear 

962
01:06:36,520 --> 01:06:42,640
stress across the layer. 
 
Well, this we worked on with a 

963
01:06:42,640 --> 01:06:46,160
Russian student. 
 
My only Russian student, Aleksey

964
01:06:46,160 --> 01:06:51,120
Gerasimov, was just fun to work 
 with and I'm glad to say that 

965
01:06:51,160 --> 01:06:56,520
the model he came up with, what 
 was called the analytical wall 

966
01:06:56,520 --> 01:07:01,560
function, did pretty well. 
 
It's widely used at Manchester 

967
01:07:01,560 --> 01:07:06,120
now and and is at least 
 
incorporated in some of the 

968
01:07:06,120 --> 01:07:10,960
commercial software. 
 
It's a lot, lot better than log 

969
01:07:10,960 --> 01:07:16,760
law wall functions. 
 
They should be made illegal, but

970
01:07:16,760 --> 01:07:21,560
we also developed a second 
 
scheme in situations where you 

971
01:07:21,560 --> 01:07:25,640
have the velocity vector 
 
changing direction across the 

972
01:07:25,640 --> 01:07:30,160
viscous layer, such as a rises 

in those flow around U bends, 

973
01:07:30,160 --> 01:07:33,560
very tight U bends. 
 
We developed a numerical scheme.

974
01:07:33,560 --> 01:07:38,680
I I won't attempt to go into any

 detail on that, but the key 

975
01:07:38,680 --> 01:07:43,400
thing was that just as in a 
 
boundary layer solver, if you 

976
01:07:43,400 --> 01:07:48,920
think of a but 2D boundary layer

 solver, you treat the static 

977
01:07:48,920 --> 01:07:52,880
pressure as though it is uniform

 across the layer. 

978
01:07:53,000 --> 01:07:58,240
We applied the same slight 
 
approximation, but only to the 

979
01:07:58,840 --> 01:08:02,040
very near wall region covered by

 the wall function. 

980
01:08:02,040 --> 01:08:05,400
And I won't go into the details.

 

981
01:08:05,408 --> 01:08:09,060
Indeed I've forgotten some of 
the details by now. 
 

982
01:08:09,068 --> 01:08:13,260
It's a while ago. 
But that permitted us to very 
 

983
01:08:13,268 --> 01:08:17,475
much reduce the cost of using 
quite advanced models. 
 

984
01:08:17,483 --> 01:08:21,240
I mean, Bill Jones's low- 
Reynolds-number model could be 


985
01:08:21,247 --> 01:08:26,832
put in or or any any other other
model and it reduced the 
 

986
01:08:26,840 --> 01:08:30,840
computing time by something 
between 80% and 90%. 
 

987
01:08:30,848 --> 01:08:36,386
So it represents a huge saving. 
I should just maybe add a point 

988
01:08:36,386 --> 01:08:40,759
 and maybe you're not even aware
of this, that I have seen a 
 

989
01:08:40,767 --> 01:08:45,439
resurgence of the interest in 
the work that you did with Tim 


990
01:08:45,448 --> 01:08:49,291
and Hector for advanced wall 
functions in the context 
 

991
01:08:49,299 --> 01:08:53,319
actually of LES. 
That now because there is a 
 

992
01:08:53,328 --> 01:08:58,180
resurgence of interest in the 
wall-modelled LES, there is a 
 

993
01:08:58,188 --> 01:09:03,660
realization that the model used 
to approximate the near wall 
 

994
01:09:03,667 --> 01:09:07,000
behaviour. 
Can we look at more advanced 
 

995
01:09:07,008 --> 01:09:10,301
ways of calculating that? 
And I I've seen now people 
 

996
01:09:10,310 --> 01:09:14,323
reference and look at that work 
not in the context of RANS, but 

997
01:09:14,323 --> 01:09:16,700
 actually in the context of LES,
which I thought is quite 
 

998
01:09:16,707 --> 01:09:19,975
interesting how work that was 
done, you know, 30 years ago is 

999
01:09:19,975 --> 01:09:24,479
 now being re looked at in a in 
a different context, but still. 

1000
01:09:24,479 --> 01:09:24,920
 
Yeah. 

1001
01:09:25,279 --> 01:09:27,960
So anyway, just a. 
 
Thank you Neil. 

1002
01:09:27,960 --> 01:09:31,200
I, I was not aware of this 
 
resurgence of interest. 

1003
01:09:31,200 --> 01:09:37,640
Long may it continue, but I, I 

have to say that that having got

1004
01:09:37,640 --> 01:09:44,520
that far, what I found was that 
 turbulence models was looked on

1005
01:09:44,560 --> 01:09:47,319
as what might be called a mature

 subject. 

1006
01:09:48,000 --> 01:09:52,080
People weren't interested in 
 
looking for radical changes in 

1007
01:09:52,080 --> 01:09:55,400
in modelling. 
 
It was applications that were 

1008
01:09:55,400 --> 01:09:59,240
very much to the fore for I 
 
didn't feel that that was what I

1009
01:09:59,240 --> 01:10:06,320
was perhaps best at at doing, 
 
though I, I did, I did supervise

1010
01:10:06,320 --> 01:10:11,800
one PhD student by a friend of 

yours, Alastair, and that was 

1011
01:10:11,800 --> 01:10:14,280
very successful. 
 
He was looking at in-line tube 

1012
01:10:14,280 --> 01:10:16,760
banks and it was quite 
 
extraordinary. 

1013
01:10:16,760 --> 01:10:22,440
We found the the sorts of 
 
deviations from from going 

1014
01:10:22,440 --> 01:10:26,584
straight through an in-line 
tube-bank 
 heat exchanger 

1015
01:10:26,584 --> 01:10:31,100
tended to develop a diagonal 
path through that. 
 

1016
01:10:31,108 --> 01:10:33,744
I should maybe just interrupt 
you slightly. 
 

1017
01:10:33,752 --> 01:10:37,320
I, I was mean to say it before, 
but maybe this is a good time to

1018
01:10:37,320 --> 01:10:40,525

 say it that almost as a, an 
observation or to people 
 

1019
01:10:40,533 --> 01:10:43,761
listening that I studied at 
Manchester University with 
 

1020
01:10:43,769 --> 01:10:46,739
Alastair as well. 
And we did our undergraduate 

1021
01:10:46,739 --> 01:10:50,775
degrees and, and you taught us 
and so did Tim Craft and so did 

1022
01:10:50,775 --> 01:10:52,040
 Hector Iacovides and these 
folk. 

1023
01:10:52,040 --> 01:10:56,697
Not Michael, I guess Michael, I 
 think moved to Imperial then 

1024
01:10:56,697 --> 01:10:59,844
and but we didn't know who you 
were. 
 

1025
01:10:59,852 --> 01:11:02,376
We didn't know who Tim was. 
We didn't know. 
 

1026
01:11:02,384 --> 01:11:05,757
And I, I know Alastair and I 
talk about this now that we feel

1027
01:11:05,757 --> 01:11:07,698

 bad in a way. 
And I'm sure others are like 
 

1028
01:11:07,706 --> 01:11:09,320
that. 
They see some professor come in,

1029
01:11:09,320 --> 01:11:12,050

 teach a subject, second year 
something and you all, you don't

1030
01:11:12,050 --> 01:11:14,670

 mean to be disrespectful, but 
you know, you don't know who 
 

1031
01:11:14,678 --> 01:11:16,478
they are. 
And it's only later you look 
 

1032
01:11:16,486 --> 01:11:20,490
back and think, oh wow, I was, 
you know, taught by this person 

1033
01:11:20,490 --> 01:11:23,879
 or supervised. 
And I, I wonder, I think you 
 

1034
01:11:23,887 --> 01:11:27,029
mentioned to me this happens 
sometimes that people come or 
 

1035
01:11:27,037 --> 01:11:29,570
want to take a selfie with you 
or something. 
 

1036
01:11:29,578 --> 01:11:33,663
Because now with social media, I
guess people know who people are

1037
01:11:33,663 --> 01:11:35,413

 more. 
But at the time we had no clue. 

1038
01:11:35,413 --> 01:11:36,680
 
And it was an honour to be 

1039
01:11:36,680 --> 01:11:38,720
taught by you. 
 
But I feel guilty that we didn't

1040
01:11:38,720 --> 01:11:42,480
say it at the time. 
 
Well, I have no thoughts on 

1041
01:11:42,480 --> 01:11:44,360
that. 
 
Indeed you mentioned people 

1042
01:11:44,360 --> 01:11:46,240
coming in to have selfies with 

me. 

1043
01:11:46,480 --> 01:11:50,200
I I was just amazed and thought 
 they were slightly crazy but 

1044
01:11:50,920 --> 01:11:55,560
complied with their request to 

to be photographed. 

1045
01:11:56,600 --> 01:12:01,880
Well, I suppose the one of the 

reasons that slightly steered me

1046
01:12:01,880 --> 01:12:08,440
away from continuing too deeply 
 in basically CFD applications. 

1047
01:12:08,440 --> 01:12:12,440
Much as there were very 
 
interesting things to explore, I

1048
01:12:12,840 --> 01:12:16,680
would in fact mention another 
 
application case. 

1049
01:12:16,680 --> 01:12:21,120
We were looking at trailing 
 
vortices behind a wing. 

1050
01:12:21,680 --> 01:12:24,880
There was a good set of 
 
experimental data, and we 

1051
01:12:24,880 --> 01:12:30,000
computed that with a Eddy 
 
viscosity model, and as we knew 

1052
01:12:30,000 --> 01:12:33,880
it would, the swirl died out far

 too quickly. 

1053
01:12:34,320 --> 01:12:38,097
Now the trailing vortices behind

 a wing in practice are known 

1054
01:12:38,097 --> 01:12:42,760
to persist a long time, so that 
a 
 big aircraft landing at an 

1055
01:12:42,760 --> 01:12:48,480
airport would make it really 
 
dangerous for a plane coming in 

1056
01:12:48,640 --> 01:12:53,080
a minute or so after them on the

 same track because the swirl 

1057
01:12:53,080 --> 01:12:59,000
persisted and persisted. 
 
The Eddie Viscosity model said 

1058
01:12:59,000 --> 01:13:02,480
don't worry folks, the swirl 
 
dies out very quickly. 

1059
01:13:02,480 --> 01:13:06,560
But experiments that Peter 
 
Bradshaw had done said, no, it 

1060
01:13:06,560 --> 01:13:09,280
doesn't die out. 
 
It hangs around an awful long 

1061
01:13:09,280 --> 01:13:12,560
time. 
 
And I'm happy to say that one of

1062
01:13:12,560 --> 01:13:19,080
the applications that I did with

 Tim Craft at Manchester was to

1063
01:13:19,080 --> 01:13:21,383
look at this with the TCL model.

 

1064
01:13:21,391 --> 01:13:25,742
And the TCL model was the only 
one of four schemes that we 
 

1065
01:13:25,750 --> 01:13:29,912
looked at that in any way 
mimicked the observed 
 

1066
01:13:29,920 --> 01:13:33,705
experimental behavior. 
I will just add if you don't 
 

1067
01:13:33,713 --> 01:13:36,600
mind a quick again interesting 
thing that you may or may not be

1068
01:13:36,600 --> 01:13:38,729

 aware of and it's probably one
of the reasons that Alastair 
 

1069
01:13:38,737 --> 01:13:42,565
works where he does now at the 
Formula One team, is that use 
 

1070
01:13:42,573 --> 01:13:45,370
case of RANS turbulence 
modelling for highly vortex 

1071
01:13:45,370 --> 01:13:48,612
driven flows 
 is a key use case
in Formula One. 
 

1072
01:13:48,620 --> 01:13:52,730
And actually from when I was 
working and even recently, I 
 

1073
01:13:52,738 --> 01:13:55,884
still see people looking at 
nonlinear eddy- viscosity models

1074
01:13:55,884 --> 01:13:59,830
and 
 Reynolds-stress models 
because the flow around a 

1075
01:13:59,830 --> 01:14:03,502
Formula One car is 
 driven by 
10s or more of individual 

1076
01:14:03,502 --> 01:14:07,884
vortices and they 
 find that 
they need these non linear terms

1077
01:14:07,884 --> 01:14:12,302
to capture it more 
 nicely. 
So even today, I think that's 
 

1078
01:14:12,310 --> 01:14:16,260
one of the industries that still
is very much into turbulence 

1079
01:14:16,260 --> 01:14:18,822
modelling. 
So yeah, yeah, that's that, that

1080
01:14:18,822 --> 01:14:23,208

 wing tip exact test case I've 
seen used internally at in F1 
 

1081
01:14:23,216 --> 01:14:25,400
teams to investigate different 
turbulence models. 
 

1082
01:14:25,408 --> 01:14:27,200
So. 
Gosh. 
 

1083
01:14:27,208 --> 01:14:31,780
Well, thank you. 
I hadn't supposed that that 
 

1084
01:14:31,788 --> 01:14:36,664
ground based object like a 
racing car would encounter the 


1085
01:14:36,672 --> 01:14:40,460
same problems. 
Yeah, that's because all the 
 

1086
01:14:40,468 --> 01:14:43,814
wings, they generate the tips 
and there's so many of those 
 

1087
01:14:43,822 --> 01:14:46,468
individual wings, there's, 
there's probably 40 different 
 

1088
01:14:46,476 --> 01:14:49,990
vortices I guess on the car all 
touching each other. 
 

1089
01:14:49,998 --> 01:14:52,405
You need a pretty fine. 
It's a result, yes. 
 

1090
01:14:52,413 --> 01:14:55,116
Well, yeah, there's like a 
billion grid points nowadays, so

1091
01:14:55,116 --> 01:14:58,260

 things have moved on. 
But yes, sorry I interrupted 
 

1092
01:14:58,268 --> 01:15:00,910
you. 
I think you were talking more 
 

1093
01:15:00,918 --> 01:15:04,200
about the Osborne Reynolds and 
and some of that work. 
 

1094
01:15:04,208 --> 01:15:07,565
Yeah, well, I've really reached 
the end of the end of the line. 

1095
01:15:07,565 --> 01:15:09,280
 
I thought I was also getting a 

1096
01:15:09,280 --> 01:15:14,157
bit old and so I was interested 
 that the Royal Society 

1097
01:15:14,157 --> 01:15:19,728
announced that they had the 
original 
 copies of referees 

1098
01:15:19,728 --> 01:15:22,520
reports from some of the early 
papers. 
 

1099
01:15:22,528 --> 01:15:25,880
Now I was quite interested in 
Osborne Reynolds, of course. 
 

1100
01:15:25,888 --> 01:15:29,480
He'd been a professor at 
Manchester, forerunner of 
 

1101
01:15:29,488 --> 01:15:34,380
Manchester University, but also 
he his paper on Reynolds 
 

1102
01:15:34,388 --> 01:15:37,200
averaging. 
Whilst it didn't actually get 
 

1103
01:15:37,208 --> 01:15:41,358
into the problems of modelling 
the Reynolds stresses, at least 

1104
01:15:41,358 --> 01:15:45,052
 it marked a starting point for 
the subject that I'd been 
 

1105
01:15:45,060 --> 01:15:47,610
involved in for most of my 
professional career. 
 

1106
01:15:47,618 --> 01:15:52,352
So he asked whether they had 
copies of Reynolds papers. 
 

1107
01:15:52,360 --> 01:15:57,658
Judy travelled down to London to
see them. 
 

1108
01:15:57,666 --> 01:16:02,275
And again was I was just blown 
away. 
 

1109
01:16:02,283 --> 01:16:06,980
I was blown away in much the 
same way that first coming to 
 

1110
01:16:06,988 --> 01:16:12,992
UMIST had had done for me. 
You got communications from 
 

1111
01:16:13,000 --> 01:16:19,245
Horace Lamb, George Stokes, from
Reynolds of course, really from 

1112
01:16:19,245 --> 01:16:23,820
 from all of these people that 
were involved in refereeing or 


1113
01:16:23,828 --> 01:16:28,928
acting as editor of of the 
manuscripts that Reynolds had 
 

1114
01:16:28,936 --> 01:16:33,478
submitted. 
So I said, well, can I have a 
 

1115
01:16:33,486 --> 01:16:35,686
copy of these? 
Yes. 
 

1116
01:16:35,694 --> 01:16:39,624
The Royal Society said no, I 
could not Xerox them. 
 

1117
01:16:39,632 --> 01:16:44,250
They wouldn't allow me to Xerox 
them, but they could arrange for

1118
01:16:44,250 --> 01:16:49,228

 their photographer to come in 
and copy them for me, which they

1119
01:16:49,228 --> 01:16:53,417

 duly did. 
I was charged 75 lbs for the 
 

1120
01:16:53,425 --> 01:16:57,752
privilege which I the other day 
I looked up as to what that 
 

1121
01:16:57,760 --> 01:17:01,374
would be today. 
It was a little over £200 but I 

1122
01:17:01,374 --> 01:17:06,040
 happily paid that in order to 
get get the photographs and 
 

1123
01:17:06,048 --> 01:17:13,320
subsequently then I wrote a 
paper on how despite crushing 
 

1124
01:17:13,328 --> 01:17:18,860
referees reports, nevertheless 
Osborne Reynolds did publish his

1125
01:17:18,860 --> 01:17:24,599

 paper on Reynolds averaging. 
Well that's a lesson on even the

1126
01:17:24,599 --> 01:17:28,440

 famous and well known people 
like Osborne Reynolds can get 
 

1127
01:17:28,448 --> 01:17:31,896
very harsh reviews, so maybe 
that's reassuring for everybody 

1128
01:17:31,896 --> 01:17:34,806
 else who probably also has had 
those. 
 

1129
01:17:34,814 --> 01:17:39,460
I'm sure it wouldn't have been 
published except that the 
 

1130
01:17:39,468 --> 01:17:44,500
earlier paper that he'd 
published in which he discovered

1131
01:17:44,500 --> 01:17:48,928

 that transition occurred at a 
particular of what we call today

1132
01:17:48,928 --> 01:17:50,587

 a particular critical Reynolds
number. 
 

1133
01:17:50,595 --> 01:17:53,984
If he hadn't published that 
experimental paper first because

1134
01:17:53,984 --> 01:17:58,272

 the referees were saying 
things like the previous work he

1135
01:17:58,272 --> 01:18:01,304
did 
 was very good. 
Maybe there's something in this,

1136
01:18:01,304 --> 01:18:05,794

 but I can't see it that that 
was probably the reason it got 


1137
01:18:05,802 --> 01:18:07,920
published. 
Of course, having having 
 

1138
01:18:07,928 --> 01:18:11,988
published one paper, you get a 
request from conference 
 

1139
01:18:11,996 --> 01:18:17,656
organiser, could I give a paper 
just like that one? 
 

1140
01:18:17,664 --> 01:18:23,720
And of course my response is I 
couldn't bear to give the same 


1141
01:18:23,728 --> 01:18:27,082
paper twice. 
But what I discovered was that 


1142
01:18:27,090 --> 01:18:31,615
at Manchester they had all of 
the archive material from 
 

1143
01:18:31,623 --> 01:18:34,480
Reynolds applying for a his 
chair. 
 

1144
01:18:34,488 --> 01:18:38,400
Retired colleague of mine had 
also been following up on 
 

1145
01:18:38,408 --> 01:18:41,646
Reynolds's life, a person called
Derek Jackson. 
 

1146
01:18:41,654 --> 01:18:48,342
And so we collaborated in 
producing a much fuller paper on

1147
01:18:48,342 --> 01:18:54,000

 Reynolds's life as a whole 
that was was published in a book

1148
01:18:54,000 --> 01:18:56,596
that 
 I forget. 
Let me find the name of the book

1149
01:18:56,596 --> 01:18:58,620

 here. 
It is A Voyage Through 
 

1150
01:18:58,628 --> 01:19:02,574
Turbulence that was edited by 
Keith Moffatt and others from 
 

1151
01:19:02,582 --> 01:19:05,520
Cambridge. 
Anyway, I don't know whether it 

1152
01:19:05,520 --> 01:19:09,978
 was connected with these papers
when colleagues in the Royal 
 

1153
01:19:09,986 --> 01:19:13,958
Society died. 
It's the practice of the Royal 


1154
01:19:13,966 --> 01:19:19,990
Society to produce a 25 or 30 
page memoir on their lives, 
 

1155
01:19:19,998 --> 01:19:25,349
their achievements. 
So I was when my friend Jim 
 

1156
01:19:25,357 --> 01:19:29,508
Whitelaw passed away, I was 
asked to write his. 
 

1157
01:19:29,516 --> 01:19:34,060
And you know, that is, that is 
really an interesting branch of 

1158
01:19:34,060 --> 01:19:39,080
 research that was quite like 
looking at looking at Osborne 
 

1159
01:19:39,088 --> 01:19:44,521
Reynolds's past life because Jim
had produced a huge catalog of 


1160
01:19:44,529 --> 01:19:48,350
what he'd done. 
And so as a matter of sifting 
 

1161
01:19:48,358 --> 01:19:51,892
through that, pulling out the 
aspects that would be 
 

1162
01:19:51,900 --> 01:19:55,335
particularly important to 
stress, plus any personal views 

1163
01:19:55,335 --> 01:19:59,452
 I might have. 
So that started following Brian 

1164
01:19:59,452 --> 01:20:02,150
 Spalding's death. 
I I also. 
 

1165
01:20:02,158 --> 01:20:06,780
Contributed to his memoir and 
now most recently, Peter 
 

1166
01:20:06,788 --> 01:20:11,760
Bradshaw, who died last year. 
I've written his article. 
 

1167
01:20:11,768 --> 01:20:18,455
So life in my retirement hasn't,
hasn't by any means been without

1168
01:20:18,455 --> 01:20:23,160

 involvement with turbulence. 
Brian Spalding, When we started 

1169
01:20:23,160 --> 01:20:27,210
 off in the earlier discussions 
about the beginning of your 
 

1170
01:20:27,218 --> 01:20:31,762
career, you had the initial chat
about where to study, then the 


1171
01:20:31,770 --> 01:20:36,252
offer of coming back to Imperial
and obviously then there was a a

1172
01:20:36,252 --> 01:20:39,908

 sort of falling out and then 
leaving to UC Davis. 
 

1173
01:20:39,916 --> 01:20:44,118
What was your relationship like 
later on in in your career? 
 

1174
01:20:44,126 --> 01:20:47,480
Did you stay in touch? 
Did you? 
 

1175
01:20:47,488 --> 01:20:50,260
Yeah. 
How was your relationship when 


1176
01:20:50,268 --> 01:20:54,920
you came back to UMIST? 
Well, when I came back to UMIST 

1177
01:20:54,920 --> 01:20:57,215
it was. 
It was static. 
 

1178
01:20:57,223 --> 01:21:03,259
Nothing had moved by then, but 
then when in 1994 received a 
 

1179
01:21:03,267 --> 01:21:09,822
note notice that I was to be 
admitted to the Royal Society, I

1180
01:21:09,822 --> 01:21:14,320

 got a warm, very brief but 
brief brevity is certainly 

1181
01:21:14,320 --> 01:21:18,140
Spalding 
 style. 
A brief note congratulating me. 

1182
01:21:18,140 --> 01:21:20,640
 
I didn't respond to that. 

1183
01:21:20,640 --> 01:21:23,720
I think in as generous a way as 
 I could. 

1184
01:21:23,720 --> 01:21:29,920
We, we might have developed much

 closer linkages again when he 

1185
01:21:29,920 --> 01:21:34,640
was when he was reaching his 
 
90th birthday, there was a, a 

1186
01:21:34,640 --> 01:21:38,820
celebration for him and I, I was

 distantly involved in helping 

1187
01:21:38,820 --> 01:21:43,320
to organize that. 
 
And of course we met there and 

1188
01:21:43,600 --> 01:21:46,560
exchanged pleasantries between 

us. 

1189
01:21:46,560 --> 01:21:50,120
I I guess there was still 
 
slightly a feeling of the 

1190
01:21:50,120 --> 01:21:52,600
tension. 
 
I think the last time I saw him 

1191
01:21:52,960 --> 01:21:57,520
was when I was giving, We were 

both giving, in fact invited 

1192
01:21:57,520 --> 01:22:00,200
lectures at a meeting in 
 
Sarajevo. 

1193
01:22:00,200 --> 01:22:05,040
I would by then had worked into 
 the area of climate change and 

1194
01:22:05,360 --> 01:22:09,560
that was the topic of my 
 
lecture, really suggesting how 

1195
01:22:09,560 --> 01:22:14,397
engineers with their experience 
 and now of being able to 

1196
01:22:14,397 --> 01:22:19,490
predict turbulent swirling flows
could 
 actually contribute to 

1197
01:22:19,490 --> 01:22:24,614
the modelling of hurricanes, 
perhaps 
 devising methods to 

1198
01:22:24,614 --> 01:22:27,914
diminish the intensity of a 
hurricane. 
 

1199
01:22:27,922 --> 01:22:33,464
I think the paper went over the 
heads of those there. 
 

1200
01:22:33,472 --> 01:22:39,602
There was, I think, no question 
at all from the floor except 
 

1201
01:22:39,610 --> 01:22:43,552
from Brian Spalding. 
He was sat in the front row of 


1202
01:22:43,560 --> 01:22:46,903
the audience. 
We did mend our fences between 


1203
01:22:46,911 --> 01:22:50,072
us. 
I didn't do as much as I should 

1204
01:22:50,072 --> 01:22:55,267
 have done, and I'm sorry, but I
hope in contributing to his bio 

1205
01:22:55,267 --> 01:23:01,582
 memoir, I'm forgiven. 
My other question, I'm kind of 


1206
01:23:01,590 --> 01:23:05,400
see how you saw it from the 
outside. 
 

1207
01:23:05,408 --> 01:23:10,659
Often the turbulent modelling, 
particularly in a RANS context, 

1208
01:23:10,659 --> 01:23:15,070
 it's often seen as a almost a 
competition between Philippe 

1209
01:23:15,070 --> 01:23:20,350
Spalart, you know, Florian 
Menter yourself, Wilcox, how 

1210
01:23:20,350 --> 01:23:23,507
much did 
 you see it that way 
in the night? 
 

1211
01:23:23,515 --> 01:23:26,962
And I guess you had done it a 
little bit before, but in the 
 

1212
01:23:26,970 --> 01:23:31,300
Seventies, 80s and 90s, were you
aware of this almost papers 
 

1213
01:23:31,308 --> 01:23:34,220
always comparing the different 
turbulence modelling approaches 

1214
01:23:34,220 --> 01:23:38,344
and 
 which one was better? 
Was that something you aware of 

1215
01:23:38,344 --> 01:23:42,255
 or was it not? 
Yeah, part of your thinking. 
 

1216
01:23:42,263 --> 01:23:48,380
I guess one could say I was 
dimly aware of, but I was so 
 

1217
01:23:48,388 --> 01:23:52,832
interested, you might say 
obsessed with tackling the 
 

1218
01:23:52,840 --> 01:23:58,755
problems in research that I felt
I needed to deal with. 
 

1219
01:23:58,763 --> 01:24:03,330
I I wasn't looking over my 
shoulder all the time. 
 

1220
01:24:03,338 --> 01:24:07,575
Looking over one shoulder in 
implies people are behind me. 
 

1221
01:24:07,583 --> 01:24:11,190
Maybe some some of. 
Do you think it's ultimately 
 

1222
01:24:11,198 --> 01:24:15,440
though, just a matter of where 
you studied and what your 
 

1223
01:24:15,448 --> 01:24:20,335
funding was, new use cases, If 
you're in at Stanford and you're

1224
01:24:20,335 --> 01:24:24,176

 in the US, you have close 
links with NASA and the 

1225
01:24:24,176 --> 01:24:26,783
aerospace 
 industry, you're 
going to be solving airplane 

1226
01:24:26,783 --> 01:24:29,520
cases. 
 
And so I wonder whether that 

1227
01:24:29,520 --> 01:24:31,640
motivated the Spalart–Allmaras 
and 
 those. 

1228
01:24:31,640 --> 01:24:37,600
And if you had, instead of being

 funded by, you know, Boeing or

1229
01:24:37,600 --> 01:24:41,720
or Rolls Royce, sorry, or 
 
Airbus, or would you have 

1230
01:24:41,720 --> 01:24:45,360
naturally pivoted and maybe come

 up with a slightly different 

1231
01:24:45,360 --> 01:24:49,120
terms model? 
 
Is it ultimately that you were 

1232
01:24:49,120 --> 01:24:51,560
driven a little bit by the 
 
problems you were trying to 

1233
01:24:51,560 --> 01:24:52,720
solve? 
 
I haven't. 

1234
01:24:53,280 --> 01:24:56,920
I haven't really thought of it 

that way, but I think I think 

1235
01:24:56,920 --> 01:25:00,440
that's it's correct. 
 
Had I, had I been at Stanford, 

1236
01:25:00,440 --> 01:25:06,440
say yes, NASA Ames would be the 
 natural point of collaboration 

1237
01:25:06,760 --> 01:25:08,760
in research. 
 
Who knows? 

1238
01:25:08,880 --> 01:25:12,520
I don't. 
 
Well, I I say, I don't think I 

1239
01:25:12,520 --> 01:25:16,624
would have gone for a 
one-equation 
 model as Philippe

1240
01:25:16,624 --> 01:25:17,947
Spalart. 
Yeah. 
 

1241
01:25:17,955 --> 01:25:21,300
And it's interesting, I think 
now if you look, even with the 


1242
01:25:21,308 --> 01:25:24,510
Spalart–Allmaras, there's a lot 
of modifications to try and add 

1243
01:25:24,510 --> 01:25:29,368
 some of these non linear terms.
So I, I think ultimately people 

1244
01:25:29,368 --> 01:25:32,435
 come from different directions 
and you know, I guess you can 
 

1245
01:25:32,443 --> 01:25:34,308
argue which one's correct and 
which one's not. 
 

1246
01:25:34,316 --> 01:25:37,544
But yeah, it, it's just a 
curiosity to us externally, 
 

1247
01:25:37,552 --> 01:25:42,272
because if you open up Ansys 
Fluent or STAR-CCM+ or one of 
 

1248
01:25:42,280 --> 01:25:45,602
these commercial packages, you 
are almost, you know, this, I 
 

1249
01:25:45,610 --> 01:25:48,660
didn't tell you, but you have 
radio buttons on which 

1250
01:25:48,660 --> 01:25:51,640
turbulence 
 model to pick. 
Do I pick the k-epsilon? 
 

1251
01:25:51,648 --> 01:25:55,088
Do I pick the k-omega? 
And in some ways, if you have no

1252
01:25:55,088 --> 01:25:57,721

 context of the background, it 
is in some ways just which one 

1253
01:25:57,721 --> 01:26:00,092
do 
 you pick? 
And that's why people often find

1254
01:26:00,092 --> 01:26:03,035

 it so interesting that there's
these different options and how 

1255
01:26:03,035 --> 01:26:05,960
 did they come about and what 
was their motivation. 
 

1256
01:26:05,968 --> 01:26:10,786
So that ends the question. 
So maybe to finish off, what if 

1257
01:26:10,786 --> 01:26:15,022
 you were to now, you know, 
you're speaking to your 20 year 

1258
01:26:15,022 --> 01:26:18,192
 old self, what advice would you
give having all of what you've 


1259
01:26:18,200 --> 01:26:19,840
learned through your amazing 
career? 
 

1260
01:26:19,848 --> 01:26:22,183
What? 
What words of wisdom would you 


1261
01:26:22,191 --> 01:26:24,754
impart? 
Gosh, it's hard to imagine a 20 

1262
01:26:24,754 --> 01:26:32,520
 year old who would sit and 
listen to somebody closer to 90 

1263
01:26:32,520 --> 01:26:36,038
 than 80I. 
I suppose looking back over my 


1264
01:26:36,046 --> 01:26:40,656
life, what I can see is that 
changes have come about. 
 

1265
01:26:40,664 --> 01:26:46,435
Really not of my own driving, 
but I've somehow been thrust 
 

1266
01:26:46,443 --> 01:26:50,608
upon me. 
And I think I would say that 
 

1267
01:26:50,616 --> 01:26:56,020
people should be ready to accept
change, not be downcast by it 
 

1268
01:26:56,028 --> 01:27:01,680
nor overly ill related, but to 
be inquisitive of of change. 
 

1269
01:27:01,688 --> 01:27:07,805
And I think making changes 
constructively has, in a sense, 

1270
01:27:07,805 --> 01:27:10,627
 reflects my approach to 
modelling. 
 

1271
01:27:10,635 --> 01:27:15,583
When we'd reached the stage 
where it was just a matter of 
 

1272
01:27:15,591 --> 01:27:20,020
pushing a button to, as you had 
alluded to, to choose which 
 

1273
01:27:20,028 --> 01:27:25,076
model is applicable, that's when
I think it's time for me to say 

1274
01:27:25,076 --> 01:27:28,370
 thanks but no thanks, I'll do 
something else. 
 

1275
01:27:28,378 --> 01:27:33,728
Great words of wisdom and thank 
you so much for sharing your 
 

1276
01:27:33,736 --> 01:27:37,422
stories and your work. 
I'm sure I speak for everybody 


1277
01:27:37,430 --> 01:27:42,732
to say that the impact of, you 
know, the k-epsilon, the LRR and

1278
01:27:42,732 --> 01:27:46,980
the wall-function work is today 
used by hundreds of thousands of

1279
01:27:46,980 --> 01:27:50,440

 engineers across the globe to 
design the things that we and 
 

1280
01:27:50,448 --> 01:27:52,400
you, the listener use it every 
day. 
 

1281
01:27:52,408 --> 01:27:56,229
So the impact, even though some 
of that work was 50 years ago, 


1282
01:27:56,237 --> 01:27:59,506
it is still impacting today, 
which is I think an incredible 


1283
01:27:59,514 --> 01:28:01,255
testament to the work you've 
done. 
 

1284
01:28:01,263 --> 01:28:04,265
So thank you for being on today 
and it was great to speak to 
 

1285
01:28:04,273 --> 01:28:06,076
you. 
Well, thank you, Neil. 
 

1286
01:28:06,084 --> 01:28:08,240
It's been fun. 
Bye bye.

