Yamazaki 



3 



^ j" 3in(.^H')(^, 



^ \ 1 



BX* ^' 30*/R 



dcp 



PI nS , 

 I or>„ c 



J(SP) 





TxP 



cp = 

 (SP) 



B B \ 1 



iv + 



^B6? ^tTi^ ^X* B0*/R*_ 



TeP 



q) = 

 (SP) 



(96) 



where H^,^^^, RLxHKmj etc., are independent of time s and can be reduced to the 

 forms convenient for the actual calculations. Then by using Eqs. (94), (95), and 

 (96) the induced velocity components 



[Bt/Ba^sH) ' tB(D/BT^]^sH^, [3l'/3z*](SH) ' t^'I'/^^l(SR) ' [^'^/^z*](SR) • 



[B0*VBU(SR)' [^0*V^n(SP)- [30*V^B0]^sp^ , [B2<l,j^/B^2+B2 0*/B^2]^Sg^ , 

 and . 



which are derived from Eqs. (69), (58), (59), (73), (74), and (75), can be reduced 

 to harmonic series with respect to time. Some examples of them are 



Bo 



LB^ 



2] e-i™N 



(SH) 



2 ^■^d ( ^ 1 ) 



t F K ' = 1 ^b( w ) 



4^J dT?; j gRn,(^'i,u') Rl^h,^ du' 



n f„ -1 



1 1 



^1 5(^')d^' j t*(^',v')W*(^') PTxHK.dv' 



^j l{-n\)A'n\^ t*(T,;,u')[v^(T7;) - v|°(r,;)]RT,HK du' 



(97) 

 (Cont) 



48 



