Free Surface Effects tn Hull Propeller Interaction 
from the given ratio of model length to tank width, so there was little 
we could do about it. 
APPENDIX B 
WAVEMAKING CALCULATIONS 
All calculations concerning the wavemaking of the hull and 
the propeller were based on the strictly linearized theory and there- 
fore involved the usual assumptions of irrotational flow, infinitesimal 
wave heights etc., see e.g. Lunde (1951) or Wehausen and Laitone 
(1960). The following is essentially a compilation of the important 
formulas used in the present study without attempting to give complete 
proofs o derivations, 
B.1. Nondimensional Notation 
Throughout this Appendix a special nomenclature particularly 
adapted to the analysis of steady-state gravity-wave problems will be 
used. This differs from the nomenclature in the rest of the report 
only in that all * dimensional variables have been consistently rendered 
dimensionless by reference to a set of three fundamental quantities, 
namely the acceleration due to gravity g , water density p , and ship 
speed V. Thus if Q is any dimensional quantity involving only the 
units of mass, length and time, its nondimensional counterpart Q is 
defined simply as 
Q= Q/gaphv" (B1) 
where the choice of a , B and Y is obviously unique. For instance, 
=i eee =i. 2 
leet 0 ig ee 
On =210) Ve V 
=. -2 6 (B2) 
Rw = Rw/g pV 
where x is the longitudinal coordinate, L the half-length of hull (now 
identical to the dimensionless speed-length parameter Y, used else- 
where in the report), o the density of a surface distribution of sources, 
Ry the wavemaking resistance etc, With this notation the quantities 
p, V and g can be formally eliminated from the analysis, thus lead- 
ing to a considerable simplification of many formulas without any es- 
sential loss of generality. 
* Where dimensional variables are nevertheless required, e.g. for 
purposes of definition, they are identified by underlining to avoid any 
possible ambiguity. 
1887 
