Theory of Unsteady Propeller Forces 



f3k=ln,n' -1 



sin [%(<f) + ^(^) V + S^] dv , 



^B 1<=1 n,n' -il 



COS [5^(^) + 5(^) V + S^] dv , 



<fg k= 1 n , n ' ■i-l - ' 



^B k=l n,n' -il 



(V^„,^ Sin [d^(^) + ^(,^)v + S^] 



+ V^n' (^ [^m(^) + ^(^) V] + ^e} cos [0^{^') + ^(^) V + S^]) dv 



t« k= 1 n, n' -i-l 



■ o ';. 



(V^n' ^'^"^ [^(^) + ^(^) V + S^] ;, >: r-i. 



1 N 



'^FyD 



1 IN 



- T J 2 CpD[l + (^/^)'] V*2 sin[5^,(^) + S,] sin^(^)^d^ 



fp k=i 



I IS 



'FzD- 4 I Z-. CpD[l + (^/^)'] V*^ cos[5„(^) + 8,] sin6^(^)^d^, 

 t„ k=i 



59 



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 (Cont) 



