T. von Karman 
Also, during the 1940’s and continuing until as recently as 1956, he worked on wave 
drag relationships for submerged bodies of revolution (spheroids), as well as for a body 
traveling in the wake of another body. He was also able to account for the effects of and 
compute the wave motion and drag due to body acceleration or oscillations (rolling, pitching, 
and heaving). In addition, he investigated the characteristics of a submerged body (sphe- 
roid motion in normal and oblique wave systems) and demonstrated that pressure of the 
waves does not necessitate a modification of the source-sink distribution representing the 
body. This phase of his work gives valuable insight to problems associated with torpedoes 
and submarines. 
The work of Havelock has been recently extended by Inui in Japan to a point where the 
accuracy of calculations relating to hulls of conventional width has been substantially 
improved and Hershey of the U.S. Naval Weapons Laboratory, Dahlgren, is using a variation 
of the theory to determine the wave pattern generated by a submerged body. Also, at the 
present time, extensive use of the generalized theory is used by the U.S. Navy’s David 
Taylor Model Basin in the performance of numerous classified projects associated with 
modern submarine development. 
This paper has not, and could not, do complete justice to all of Havelock’s works in 
the limited amount of time available today. Nevertheless it is indeed an apparent and 
accepted fact that Havelock is a giant in his field and one feels sure that his classical 
contributions will be appreciated and utilized for a long time to come. 
DISCUSSION 
W.P.A. van Lammeren (Netherlands Ship Model Basin), after saying how much it was 
regretted that Sir Thomas Havelock could not be present because of illness, read the follow- 
ing letter, sent to the Office of Naval Research, Washington: 
“I send greetings to the members of the Symposium. 
I am extremely gratified by the proposal to dedicate the Symposium to myself; 
it is indeed a high honour, and I do not know any more pleasing compliment than 
to be remembered in this way by one’s friends and fellow workers in the same field. 
I also wish especially to thank Dr. von Karman; I am very appreciative of the 
great honour he has done me by giving the opening address. 
I regret very much that it was not possible for me to attend the Conference 
myself and express my appreciation more adequately in person; but I send warmest 
thanks to all, and best wishes for a successful and pleasant meeting. 
T. H. Havelock” 
