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Selected Papers of J.M. Burgers, edited by F.T.M. Nieuwstadt and J.A. Steketee, Kluwer Academic Publishers, ISBN: 0-7923-3265-2, The Netherlands (summary)

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Selected Papers of

J. M, Burgers

TECHNISCHEmnvB^re?

laboratorium voor

Scheepshydromechanlca

Archief

Mekerweg 2. 2628 CD Delft

^^"^'^ m-

015-788873 - FèJC 015 ^ 781838

F. T. M. Nieuwstadt

Department of Mechanical Engineering and Maritime Technology, Delft University of Technology,

The Netherlands

and

J. A. Steketee

Department of Aero and Space Engineering, Delft University of Technology,

The Netherlands

KLUWER ACADEMIC PUBLISHERS

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A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN 0-7923-3265-2

Published by Kluwer Academic Publishers, P.O. Box 17, 3300 A A Dordrecht, The Netherlands. Kluwer Academic Publishers incorporates

the publishing programmes of

D. Reidel, Martinus Nijhoff, Dr W. Junk and MTP Press. Sold and distributed in the U.S.A. and Canada

by Kluwer Academic Publishers.

101 Philip Drive, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group,

P.O. Box 322,3300 AH Dordrecht, The Netherlands.

Printed on acid-free paper

All Rights Reserved

© 1995 Kluwer Academic Publishers

No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical,

including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. Printed in the Netherlands

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Preface

B y t h e b e g i n n i n g o f t h i s century, the v i t a l role o f fluid mechanics i n engineering science a n d t e c h n o l o g i c a l progress was c l e a r l y recognised. I n 1918, f o l l o w i n g a n i n t e r n a t i o n a l t r e n d , t h e U n i v e r s i t y o f T e c h n o l o g y i n D e l f t established a chair i n fluid d y n a m i c s , a n d we can s t i l l a d m i r e t h e w i s d o m o f the c o m m i t t e e w h i c h a p p o i n t e d t h e y o u n g t h e o r e t i c a l p h y s i c i s t , J . M . B u r g e r s , a t t h e age o f 23, t o t h i s p o s i t i o n w i t h i n t h e d e p a r t m e n t o f M e c h a n i c a l E n g i n e e r i n g , N a v a l a r c h i t e c t u r e a n d E l e c t r i c a l E n g i n e e r i n g . T h e consequences o f t h i s a p p o i n t m e n t were t o be f a r - r e a c h i n g .

J . M . B u r g e r s w e n t o n t o become one o f t h e l e a d i n g figures i n t h e field o f fluid mechanics: a g i a n t o n whose shoulders t h e D u t c h fluid mechanics c o m m u n i t y s t i l l stands. I t is t h e r e f o r e scarcely s u r p r i s i n g t h a t t h e r e c e n t l y established D u t c h research school o n fluid mechanics s h o u l d bear t h e name " J . M . B u r g e r s C e n t r e " .

T h e w o r k o f J . M . B u r g e r s has been i n f l u e n t i a l i n m a n y areas o f fluid me-chanics a n d his papers are s t i l l firequently q u o t e d , u s u a l l y i n t h e c o n t e x t o f an e q u a t i o n o r result t o w h i c h his n a m e became a t t a c h e d .

U p t o 1955 w h e n he l e f t f o r t h e U S A t o b u i l d a n e w s c i e n t i f i c career, J . M . B u r g e r s p u b l i s h e d most o f his scientific w o r k i n t h e Proceedings a n d Transac-t i o n s o f Transac-t h e R o y a l N e Transac-t h e r l a n d s A c a d e m y o f Sciences, o f w h i c h he was a dis-t i n g u i s h e d m e m b e r . Sadly, dis-these p u b l i c a dis-t i o n s are d i f f i c u l dis-t dis-t o o b dis-t a i n dis-t h r o u g h t h e u s u a l l i b r a r y channels, a n d as a r e s u l t t h e w o r k o f J . M . B u r g e r s has been f r e q u e n t l y m i s q u o t e d or, worse s t i l l , reference t o i t o m i t t e d .

A g a i n s t t h i s b a c k g r o u n d a n d t o celebrate t h e centenary o f his b i r t h , the e d i t o r s decided t o select a n d reissue those o f his papers considered t o c o n t a i n his m o s t i m p o r t a n t w o r k u p t o 1955. I t is h o p e d t h a t i n t h i s w a y his w o r k , a n d i n p a r t i c u l a r t h e papers w i t h the results t h a t s t i l l bear his n a m e , w i l l be-come accessible t o a w i d e r audience. T h i s selection a n d t h e b i b l i o g r a p h y o f a l l p u b l i c a t i o n s t o w h i c h t h e name o f J . M . B u r g e r s is a t t a c h e d w i l l g i v e t h e reader a n i n s i g h t i n t o t h e b r e a d t h a n d d e p t h o f J . M . B u r g e r s ' w o r k . T h e e d i t o r s w i l l be h a p p y t o answer any queries o r t o p r o v i d e i n f o r m a t i o n a b o u t a n y o f these p u b l i c a t i o n s .

A p a r t f r o m b e i n g a b r i l l i a n t scientist J . M . B u r g e r s ' interest a n d i n v o l v e m e n t i n o t h e r areas o f h u m a n endeavour are revealed i n t h e i m p r e s s i v e a n d l i v e l y

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v i J . M . Burgers correspondence he c o n d u c t e d w i t h specialists i n m a n y fields. E v i d e n c e o f t h i s is c o n t a i n e d i n the b i o g r a p h y p u b l i s h e d i n t h i s b o o k . F o r t u n a t e l y , J . M . B u r g e r s was well-organised a n d k e p t copies o f a l l l e t t e r s . B o t h i n M a r y l a n d , his second s c i e n t i f i c home, a n d i n D e l f t these letters have been a r c h i v e d a n d t h e y m a k e f a s c i n a t i n g r e a d i n g f o r a l l i n t e r e s t e d i n t h e m a n J . M . B u r g e r s , a n d i n t h e era i n w h i c h he l i v e d .

W e are v e r y h a p p y t o be able t o p u b l i s h t h i s t r i b u t e t o t h e g r e a t scientist, J . M . B u r g e r s , t o m a r k t h e centenary o f his b i r t h o n 13 J a n u a r y 1895, a n d are g r a t e f u l t o f o r t h e s t i n m l a t i o n a n d encouragement b y m a n y colleagues t o u n d e r t a k e t h e e d i t i n g o f t h i s b o o k . I n p a r t i c u l a r we are i n d e b t e d t o t h e R o y a l N e t h e r l a n d s A c a d e m y of Sciences f o r i t s p e r m i s s i o n t o r e p r i n t t h e w o r k o f J . M . B u r g e r s . F i u t h e r , f o r the generous c o n t r i b u t i o n s w h i c h have m a d e p u b l i c a t i o n o f t h i s b o o k possible, the e d i t o r s w i s h t o express a p p r e c i a t i o n t o t h e f o l l o w i n g companies a n d i n s t i t u t e s : A k z o N o b e l , J . M . B u r g e r s C e n t r e , F o k k e r , G a s u n i e , Hoogovens G r o e p B V , H y d r a u l i c s L a b o r a t o r y , N a t i o n a l I n s t i t u t e f o r C o a s t a l a n d M a r i n e M a n a g e m e n t / R I K Z , N L R , P h i l i p s , Shell N e d e r l a n d B . V . , S t o r k K e t e l s , T N O - M & E , T N O - P M L , T N O - T P D , U n i l e v e r a n d t h e P i e t e r Zeeman Fonds.

T h e e d i t o r s F . T . M . N i e u w s t a d t J . A Steketee D e l f t , O c t o b e r 12, 1994

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Table of Contents

B i o g r a p h y x i A Y o u t h i n A r n h e m x i i B S t u d y i n L e i d e n x i i i C Tliesis i n H a a r l e m x v i D A p p o i n t m e n t i n D e l f t x v i i i E Professor i n D e l f t x x E . l L a b o r a t o r i e s a n d S t a f f x x i E . 2 T e a c h i n g a n d Students x x i v E.3 E x p e r i m e n t a l W o r k x x v i i E.4 T h e o r e t i c a l W o r k x x x E . 4 . 1 Resistance i n F l o w s x x x i i E.4.2 T u r b u l e n c e x x x i v E.4.3 R h e o l o g y x x x i x E.4.4 Suspensions x l i E.4.5 Compressible A e r o d y n a m i c s a n d Gas D y n a m i c s xH

E . 5 ' A p p l i e d ' W o r k x l i i E . 5 . 1 A e r o n a u t i c s x l i v E.5.2 H y d r a u h c s xUv E.5.3 V e n t i l a t i o n x l v E.5.4 W i n d m i l l s x l v i F C o n n e c t i o n s a r o u n d the W o r l d x l v i i i F . l Conferences a n d Correspondence a r o u n d t h e W o r l d 1 F . 2 C o m m u n i s m a n d Russia l i v G Concerns a b o u t Society a n d Career I v i i i

G . l Society I v i i j G.2 Career I x ü

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H A N e w L i f e i n t h e N e w W o r l d H . l J M B a n d t h e U S A H . 2 Professor i n M a r y l a n d I A Passionate M a n L l A B r o a d M i n d I . 2 A Peculiar C h a r a c t e r 1.3 A n I n c o n i p r e h c n d e d P h i l o s o p h e r 1.3.1 Science L 3 . 2 L i f e J J M B i n Present-day Science J . l T h e Burgers E q u a t i o n J.2 T h e Burgers V e c t o r J.3 T h e Burgers E l e m e n t o r B o d y J.4 T h e Burgers V o r t e x Acknowledgements B i b l i o g r a p h y S e l e c t e d P a p e r s " O n t h e resistance experienced b y a f l u i d i n t u r b u l e n t m o t i o n " " P r e l i m i n a r y measurements o f t h e d i s t r i b u t i o n o f t h e v e l o c i t y o f a fluid i n t h e i m m e d i a t e n e i g h b o u r h o o d o f a plane, s m o o t h surface" " O n Oseen's t h e o r y f o r t h e a p p r o x i m a t e d e t e r m i n a t i o n o f t h e flow o f a fluid w i t h v e r y s m a l l f r i c t i o n a l o n g a b o d y " " O n t h e a p p l i c a t i o n o f Oseen's h y d r o d y n a m i c a l equations t o the p r o b l e m o f t h e s h p s t r e a m f r o m an i d e a l p r o p e l l e r " " O n t h e a p p l i c a t i o n of s t a t i s t i c a l mechanics t o t h e t h e o r y o f t u r b u l e n t fluid m o t i o n . I , I I , H I " " O n the a p p l i c a t i o n o f Oseen's t h e o r y t o t h e d e t e r m i n a t i o n o f t h e f r i c t i o n experienced b y an i n f i n i t e l y t h i n flat p l a t e " " O n t h e a p p l i c a t i o n o f s t a t i s t i c a l mechanics t o t h e t h e o r y o f t u r b u l e n t fluid m o t i o n . I V , V , V I , V I I " " I n t r o d u c t o r y r e m a r k s o n recent investigations c o n c e r n i n g t h e s t r u c t u r e o f l i q u i d s " " O n t h e m o t i o n o f s m a l l p a r t i c l e s of elongated f o r m , suspended i n a viscous l i q u i d "

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Selected Papers

" M a t h e m a t i c a l examples i l l u s t r a t i n g r e l a t i o n s o c c u r r i n g i n t h e

t h e o r y o f t u r b u l e n t f l u i d m o t i o n " 281 "Some considerations o n t h e fields o f stress

connected w i t h dislocations i n a regular

c r y s t a l l a t t i c e . I , I I " 335 " A p p l i c a t i o n o f a m o d e l system t o i l l u s t r a t e some p o i n t s

o f t h e s t a t i s t i c a l t h e o r y o f free t u r b u l e n c e " 390 " O n t h e a p p l i c a t i o n o f v i s c o s i t y d a t a t o t h e

d e t e r m i n a t i o n o f t h e shape o f p r o t e i n molecules i n s o l u t i o n " 4 0 1 "Some considerations o n t h e development of boundfu-y layers

i n t h e case o f f l o w s h a v i n g a r o t a t i o n a l c o m p o n e n t " 429 " O n t h e d i s t i n c t i o n between irregular- a n d systematic m o t i o n

i n d i f f u s i o n p r o b l e m s " 442 " O n t h e i n f l u e n c e o f t h e c o n c e n t r a t i o n o f a suspension u p o n t h e

s e d i m e n t a t i o n v e l o c i t y ( i n p a r t i c u l a r f o r a

suspension o f spherical p a r t i c l e s ) " 452 " O n t h e t r a n s m i s s i o n o f sound waves t h r o u g h a shock wave" 478

"Some p r o b l e m s of t h e m o t i o n o f i n t e r s t e l l a r gas clouds. I , I I " 487 " A e r o d y n a m i c a l p r o b l e m s suggested b y a case o f m o t i o n o f

i n t e r s t e l l a r gas c l o u d s / A e r o d y n a m i c a l p r o b l e m s connected w i t h t h e m o t i o n o f a c l o u d o f gas e m i t t e d by

N o v a Persei. I , I I , I I I " 506 " Cases o f m o t i o n i n a gas w i t h n o n c o l l i d i n g molecules" 533

" O n t h e i n f l u e n c e o f g r a v i t y u p o n t h e expansion o f a gas. I , I I " 544 " D a m p e d oscillations o f a spherical mass o f an elastic fluid" 562 " N o t e o n t h e d a m p i n g o f t h e r o t a t i o n a l o s c i l l a t i o n o f a

spherical mass o f an elastic fluid i n consequence o f

s l i p p i n g a l o n g t h e b o u n d a r y " 572 " T h e f o r m a t i o n o f v o r t e x sheets i n a s i m p l i f l e d t y p e o f t u r b u l e n t m o t i o n " 579 " O n homogeneous n o n - i s o t r o p i c t u r b u l e n c e connected w i t h a mean m o t i o n h a v i n g a c o n s t a n t v e l o c i t y g r a d i e n t . I , I I " 591 " R o t a t i o n a l m o t i o n o f a sphere s u b j e c t t o visco-ela-stic d e f o r m a t i o n . I , I I , I I I " 611 " O n t h e p r o b l e m of t h e p o s t g l a c i a l u p l i f t o f Fennoscandia. I , I I " 630

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