Super cavitating Propeller Theory 



1 Ji 



Q 1 e^ ^00 



dr 



d^dr 



r(r) 



r 



{>v.(r*-r cos v/^) + (e-\jT)r sin 0}d' 



(10) 



/^ / 



{>^.(r*-r cos 0) + (e-XjT) r sin i/;}dT 



where 



R^ = [(e-\jr)2 - 2rr* cos + r^ + r*^]^^^ , 

 r q 



Here it should be noted that u^^ = for the induced velocity components due to 

 bound vorticity, i.e., 



1 ^ A r(r) r* sin a dr 

 Umu^(6,r*,0)^, =--2 I ^- = , 



q=l r, 



Q -1 er(r) cos a dr 



, 



where 



R„ 



For the pressure equation (7). 



Q r .1 



I// 



e^ - 2rr* cos a + r ^ + 



S(r,^)(r2 + \.2) ^'^^ d^dr 



(e +-9\j - 0*X*)2 - 2rr* cos d) + r^ + r^ 



J 



r(r) [r(£?*\*-e) - r*\j sin {6*-^^)] dr 



h 1 



{e*k\ - e )2 - 2rr* cos (^* - a ) 



+ r ^ + r 



where < 0* < e'p(r). 



(11) 



937 



