19 



B. A PROOF OF A RESULT USED IN THE DERIVATION OF EQUATION [19] 

 It is to be proved that 



l,]-c dt dr Vi-I't t-T 2[}-cdt ftit-l) 



but 



j-= c r ^ -^t \/iei7t- c^-^c?^ 



dr dt V T~ I t 1 — t 



1 r r dy, dy, r /t-/ t _ jt-l r 1 d^ 

 2J-C J-c rf< rfr LV ^ -/ T \ T-l' t \ t - 



I C" f dy„ dy., dt dr 



2J-cJ-,dt dr VtT(l-t){l-T)- 



i r r dy, __dt^^^- 

 2 [].c dt VtTt-i). 



C. LISTING OF USEFUL THEORETICAL RESULTS 



The most useful theoretical results are, for convenience, listed below: 

 Relationship between Cavitation Number and Cavity Length: 



^_ = J-f"^iSrf< [16] 



a ttI J-c dt V-t 



^ 2 



The Cavity Shape: 



Approximate Solution for the Maximum Cavity Semi-Thickness; 



al 



[14b] 



The Cavity Shape for a = 0: 



2Vx C° dy, dt 2 C' dy^ ^ -i|/^^^, ron 



vAx) - 1/0 (0) = — J_^ ~^-f ^ - - J.^ 7f tan |/— dt [21] 



y,(x) = --^— [14d] 



