Studies on the Motion of Viscous Flows— III 



Bt 



^0 1 ='^0 



+ 1 + I U, +1 + - , V , 



2~T ^ 



•V, 1 dV, V 



1 r 1 1 ^1 "^1 1 " ^1 2 ^'^1 



B2v. 



'du. 



Re \ 3r2 r ^j. ^2 r2 B6l2 r^ 



du , u , 



'l '^l 1 '^1 _ 



(1.48) 

 (1.49) 



BVVi /jB0o\3V20^ / ^B0 \3V20^ 



3t V" 361 / 3r \ r 3r / 961 Re 



J_ vv = . (1-50) 



SECOND ITERATION EQUATIONS (n = 2) 



+ (u„ + u.) + + 



— (Up + u^) 



1 3 2 



(Ur, + U,) - — Cv„ + v,) 



T -^Q ^ \ ' r ^ 1 ^ 





+ J. f!!^ + i!^ _ ^ + j_ !!^ 2 ^^^2 



^ Re \ Br2 ^ r ^^ r2 ^ r2 W^ r^ d9 



(1.51) 



3t 



^^2 /^O + ^l\^^2 



+ (u.+u,) +1 



'o ^ ^1 d 



? + — (Vo+ ^i) 



+ (Vn + V, ) 



V. + u, T^ — + — 

 1 dr r 



2r ^0 



1 p'^2 j_^ ^ ±!!ll 2 ^"2 



r7\ 3r2 "^ r ~ r2 ^ r2 302 ^ r2 3(9 



!^ + ^ + 1 _i , • 

 3r "■ ''36' 



(1.52) 

 (1.53) 



543 



