Free Surface Effects tn Hull Propeller Interactton 
Potential component of t 
Viscous component of t 
Wave component of t 
Transverse wave number 
Axial velocity induced at the lifting line by the 
vortex trail of the propeller 
Tangential velocity induced at the lifting line by 
the vortex trail of the propeller 
ld oba(oerora, (ne Wl 5 We = VJ 1+4u2 
Longitudinal wave number (only in Appendix B) 
Wake fraction (Unless otherwise specified , the disk 
average of the nominal , axial wake is implied ¥) 
Self-induced free-surface wake of propeller 
Potential component of wake w 
Viscous component of wake w 
Wave component of wake w 
Circumferentially averaged value of w (R,0) 
Subscripts,.£.¢ . Doi s,s) apply as to w 
Local nominal wake fraction at point (R ,0 ) 
Subscripts f, p, v, w apply as tow 
Effective wake fraction 
Mean of wo and wr 
Effective wake fraction from torque identity 
Effective wake fraction from thrust identity 
Simulated effective wake fraction , Equation (C18) 
Weights in iteration formula , Equation (C11) 
Longitudinal coordinate , positive forward 
Longitudinal coordinate of center of propeller 
Coordinates of field point 
Coordinates of hull source point 
Transverse coordinate , positive to port 
L675 
