Contents of the Collected Papers of Sir Thomas Havelock on Hydrodynamics

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The Collected Papers

of

Sir T h o m a s H a v e l o c k

on

H Y D R O D Y N A M I C S

^ • • i E E P S B O U W K U N D E

C. Wigley

Editor

Office of Naval Research

Department of the Navy

O N R / A C R - 1 0 3

P1963-3

For sale by the Supfriniendent of Documents. U . S . Government Prinlini; Office Vï'a.shingtun, D . C , 2Ü402 - Price S4..50

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F O R E W O R D

The i n t e r e s t s of the O f f i c e of N a v a l Research i n arranging f o r the pub-l i c a t i o n of the c o pub-l pub-l e c t e d h y d r o d y n a m i c a pub-l papers of Sir Thomas H a v e pub-l o c k have a d u a l nature. F i r s t , we take great pleasure at t h i s o p p o r t u n i t y to express our r e s p e c t and a d m i r a t i o n f o r Sir T h o m a s , whose i n t e l l e c t u a l and s c i e n t i f i c achievements i n h y d r o d y n a m i c s have served as a source of i n s p i -r a t i o n and guidance f o -r those -resea-rche-rs who a-re f o l l o w i n g h i m . Second, we f e e l that the increased a c c e s s i b i l i t y of these important c o n t r i b u t i o n s of Sir Thomas w h i c h bear d i r e c t l y on many of t o d a y ' s urgent problems w i l l prove to be of great value t o the hydrodynamic research community.

Our s i n c e r e s t a p p r e c i a t i o n i s extended to the many persons who as-s i as-s t e d i n the preparation of t h i as-s v o l u m e . We as-s h o u l d l i k e to expreas-sas-s our thanks s p e c i f i c a l l y to Sir Thomas h i m s e l f , f o r h i s gracious p e r m i s s i o n to undertake t h i s w o r k ; to the late C A P T A I N H . E . Saunders (USN, R e t . ) , f o r h i s c o n t i n u e d i n t e r e s t and encouragement; to Mr. C . W i g l e y , f o r h i s e f f i c i e n t and c a r e f u l task of e d i t i n g ; to M e s s r s . W. H . Ramey and I . S. R u d i n and other s t a f f members of the T e c h n i c a l I n f o r m a t i o n D i v i s i o n , N a v a l R e s e a r c h L a b o r a t o r y , f o r the preparation of the m a t e r i a l f o r p u b l i c a t i o n ; and to Mr. J . W. Brennan, N a v y European P a t e n t s Program, O f f i c e of N a v a l Research Branch O f f i c e , L o n d o n , f o r o b t a i n i n g c o p y r i g h t r e l e a s e s f r o m the v a r i o u s p u b l i s h e r s i n v o l v e d . Our thanks must a l s o be extended t o the f o l l o w i n g o r g a n i z a t i o n s f o r the c o p y r i g h t r e l e a s e s w h i c h made the p u b l i c a t i o n of t h i s volume p o s s i b l e :

A n d r e w R e i d & Company, L t d . , former p u b l i s h e r s of " P r o c e e d i n g s of the U n i v e r s i t y of Durham P h i l o s o p h i c a l S o c i e t y "

The R o y a l I n s t i t u t i o n of N a v a l A r c h i t e c t s , p u b l i s h e r s of " T r a n s a c t i o n s of the I n s t i t u t i o n of N a v a l A r c h i t e c t s "

The C l a r e n d o n P r e s s , p u b l i s h e r s of " Q u a r t e r l y J o u r n a l of M e c h a n i c s and A p p l i e d M a t h e m a t i c s "

The R o y a l S o c i e t y , p u b l i s h e r s of " R o y a l Society P r o c e e d i n g s , Series A " T a y l o r & F r a n c i s , L t d . , p u b l i s h e r s of " P h i l o s o p h i c a l M a g a z i n e " North E a s t C o a s t I n s t i t u t i o n of E n g i n e e r s and S h i p b u i l d e r s , p u b l i s h e r s of " T r a n s a c t i o n s of the N o r t h E a s t Coast I n s t i t u t i o n of E n g i n e e r s and S h i p b u i l d e r s " Ï i i i

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Society of N a v a l A r c h i t e c t s and Marine E n g i n e e r s , p u b l i s h e r s of " T r a n s -actions of the Society of N a v a l A r c h i t e c t s and Marine E n g i n e e r s " Z e i t s c h r i f t f u r Angewandte Mathematik und M e c h a n i k , p u b l i s h e r s of

" Z e i t s c h r i f t f u r Angevi'andte Mathematik und M f e c h a n i k " S c h i f f s t e c h n i k , p u b l i s h e r s of " S c h i f f s t e c h n i k "

T . & G. A l l a n , L t d . , present p u b l i s h e r s of " P r o c e e d i n g s of the U n i v e r -s i t y of Durham P h i l o -s o p h i c a l S o c i e t y " O x f o r d U n i v e r s i t y P r e s s R A L P H D . C O O P E R , Head F l u i d D y n a m i c s Branch O f f i c e of N a v a l Research Washington, D . C.

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P R E F A C E

T h e e d i t o r was very honoured and d e l i g h t e d to r e c e i v e the i n v i t a -t i o n of -the O f f i c e of N a v a l Research -to e d i -t -the c o l l e c -t e d e d i -t i o n of Sir T h o m a s H a v e l o c k ' s h y d r o d y n a m i c a l p a p e r s . Since h i s f i r s t i n t r o d u c t i o n to h y d r o d y n a m i c a l research many y e a r s ago, the e d i t o r has a l w a y s garded P r o f e s s o r H a v e l o c k ' s work w i t h the greatest admiration and re-s p e c t . A n d , for nearly f o r t y y e a r re-s , a f t e r m a k i n g perre-sonal acquaintance w i t h P r o f e s s o r H a v e l o c k , the editor has r e c e i v e d much very k i n d a d v i c e and a s s i s t a n c e f r o m h i m , w h i c h he i s very g l a d to acknowledge here. N e a r l y a l l the m a t h e m a t i c a l a n a l y s i s i n these papers has been re-w o r k e d , and a number of minor m i s p r i n t s have been f o u n d . I n one or tre-wo papers more s e r i o u s changes have been made, either by P r o f e s s o r Have-l o c k h i m s e Have-l f , or w i t h h i s agreement. T h e papers are arranged i n chrono-l o g i c a chrono-l order, w i t h o u t reference to t h e i r c o n t e n t . T h e s u b j e c t r e c e i v i n g the most a t t e n t i o n i n the papers i s the development o f the m a t h e m a t i c a l theory of wave r e s i s t a n c e and wave f o r m a t i o n f o r a m o v i n g body. T h e papers i n the f o l l o w i n g l i s t deal w i t h t h i s and show the development of the theory f r o m elementary methods to a complete s o l u t i o n for any body, s u b j e c t o n l y to the assumption o f s m a l l wave h e i g h t , that i s , of a l i n -e a r i s -e d p o t -e n t i a l .

Paper Nos. Pages in this Collection

1 to 4 1 to 80 6 94 to 104 7 & 8 105 to 131 10 146 to 157 15 to 27 192 to 329 29 to 36 347 to 428 44 500 to 5 1 1 46 to 52 520 to 582 59 615 to 616

Paper N o . 20 (pages 249 to 264), Paper N o . 32 (pages 377 to 389), and paper 5 1 (pages 563 to 574) g i v e a summary of the p r a c t i c a l r e s u l t s to be deduced from the theory at t h e i r r e s p e c t i v e dates 1925, 1934, and 1951).

A l l b u t f i v e o f the r e m a i n i n g papers d e a l w i t h v a r i o u s motions of a s h i p by s i m i l a r methods, i . e . , w i t h r o l l i n g , p i t c h and heave, m o t i o n i n a seaway, e t c . , and t h e i r i n d i v i d u a l s u b j e c t s are s u f f i c i e n t l y s p e c i f i e d in t h e i r t i t l e s i n the L i s t of C o n t e n t s .

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T h e remaining f i v e papers, numbers 5, 9, 1 2 , 13 and 28 d e a l w i l h cer-t a i n m a cer-t h e m a cer-t i c a l q u e s cer-t i o n s w h i c h arise i n h y d r o d y n a m i c a ! a n a l y s i s .

F i n a l l y the e d i t o r ' s thanks are due to P r o f e s s o r L u n d e o f Trondheim for h i s k i n d a d v i c e on one d i f f i c u l t q u e s t i o n , and a l s o to Dr. T . F r a n c i s O g i l v i e and to Dr. J . N . Newman, both of the D a v i d T a y l o r Model B a s i n , f o r t h e i r kindness i n v e r i f y i n g some of the r e f e r e n c e s to A m e r i c a n papers.

F l a t 103 6, Charterhouse Square L O N D O N E . C . I 11th March, 1963 C. W I G L E Y V I

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