Theory of Unsteady Propeller Forces 



1 In 



^B " 1 k = 1 \ •,= ,'.-■ 



+ [V*] ^^ COS [0^(^) + 0(^)v + SJ Mt?M(^) + 5(^)vJ + ^ejj dv , 



^1 ^1 N , 



-[V*] ^^ sin [^mC^) + ^(^')^ + S^i ■^[^mC'?) + ^('^) v] + ^4) "^"^ 



?B k=l 



.In _ ■' 



KpyD^-VJ E CpD[l+(vA^)']V*2 sin 0(^) sin[V^) + S J s^ d^ , 



f B k= 1 



^r 



.1 N 



KfzD = ^ j E Cpd[1 + (^/^^)'J V*| sin £?(sO cos[0j,(^) + S J f d^ 



^R k=I 



"^MxD 



I E Cpoli + (-/?')'] v,V 0(^)^2 d^ 



^B k= 1 



,1 N 



K, 



MyD-^j E Cpd[1+(-/^)']V1:Jv*,^ sin5(^) sin[0^,(O+ Sj 



f B 1<= 1 



- 2. sin e(^) sin [0^(^) + S^]+ i^5(^) cos5(<f) sin [6?^(^) + S^] 



.1 N 

 ffi k= 1 



<f d<f 



Km3D= -^ j E ^Pd[1 ^ (-/0']V*Jv*^^ sin^CO cos[£?„(^)+ SJ 



+ V* ■ 



[ve^(^) + ee] sin 0(^) sin [0^,(^) + SJ 

 + 1^ sin 0(^) cos [^y(^) + S^] - 1.0 (cf) cos (^) cos [5„(^) + S^] 



^ d^ . (86) 



43 



