[Reprinted from the PROCEEDINGS OF THE ROYAL Socirry, A, Vol. 138. 
The Theory of Wave Resistance. 
By T. H. Havenock, F.R.S. 
(Received August 6, 1932.) 
Introduction. 
1. In the following paper general expressions are obtained or the wave 
resistance of a continuous distribution of sources and sinks over a surface within 
the liquid, and also for a similor distribution of normal doublets. These 
expressions follow directly from ve: ults given previously,* and may be applied 
to give the wave resistance of avy solid for which a suitable distribution of 
sources or doublets over its surface can be found. 
The opportunity is taken to give, for comparison, the similar results for a 
distribution of pressure over the surface of the liquid, using the same notation 
and the same general method of calculating the wave resistance. 
The various results are discussed briefly in relation to the ship problem. 
Certain interpolation formule, of a semi-empirical nature, have been proposed. 
recently in attempting to extend the range of existing expressions for the wave 
resistance of a ship ; these are shown to have their interpretation as particular 
cases of source distributions of the nature considered here. 
Source Distribution. 
2. We begin with a simple point source of strength m at a depth f below the 
free surface of the liquid, and suppose the source to be moving horizontally in 
the direction Oz with uniform velocity c. Take the origin O in the free surface 
with Oz vertically upwards, the source being at the point (0, 0, —f) referred to 
* © Proc, Roy. Soc.,’ A, vol. 118, p. 24 (1928). 
367 
