' ru -A(r)u Q -r (e ^ + % ) 



where 



n H(r,9) a v ' 6 V dr ' dr / r 



U r = H^rTey (Au a +ru e } (20) 



H- - r sec P ± (20-1) 



CAVITY BOUNDARY CONDITION 

 The cavitation number defined with respect to ship speed V is written 



P - P 

 a = 3=— f (21) 



2^ V s 

 where P is the pressure infinitely far upstream and P is the pressure on the 



oo r J C 



cavity. From the Kutta-Joukowsky theorem the vortex distribution can be written in 

 a nondimensional form (Appendix A) as 



f- -!<**•> r !: (22) 



s x, 



where 



P - P 



P 



1 ,7 2 



1/2 



V = (V Z +rV) (23) 



a 



