Compressible Fluid moving in Tncompressible Liquid. 145 



Now, substituting the values of u and r from (23) in (25), 

 we get by addition and subtraction, 



a2 ' sin (£^)" A ' cos fe© 



Solving these equations for a 2 ' and /3 2 ', we get 

 «■' = .«.' eos(^j |) -oft' sin(^Jp) 



/ «' ftft\ f « 6 r . f a *' frf*\ 



+ cos fej 6?) J 2^? L K sm v 2e " 2^J Fj 

 + sin (£fp)J f i[ KOOS ( 2e -£f§) 



A' = o« 2 'sin(^j^) + «&' «»(£)?) 



+ sin [sJfJJ.'s? [ k sin ( 2e_ £ fp) 



do- . / „ k Cdt\\ 

 Phil. May. Ser. (3. Vol. 40. No. 235. Vufy 1920 



• (27) 



dt. 

 (28) 



