Studies on the Motion of Viscous Flows— III 



2r d^ 





3v, 



Bvj /vo\3vj /vq dvg 



— + (u„) + 1 — ) + I — ^ + ^ lu, + I + I V, 



U„ 1 dv. 



1 ^Pi 1 /^^^i 1 ^^^1 Vj 1 32vj 2 ^"i 



2r 35 Re\Br2 r 9j. 1-2 r2 dd^ r^ dt 



17 ^ ^"o + -i)^ 



r / d0 



+ ^ (^0 + ^1) " 



•Jq + ^'1 1 3 



r r 3^ ^ 1^/2 



1 ^P2 



Wi!^ i!^_ii. ±!!^ 2 '^"2 



R^\ dr2 ^ r "^ " 7^ "^ 72 302 ■^ r2 36) 



'1 T7 ^ ~ 35 ^ r 



dv 

 Tt 



3 ^""3 



- + (Uo + Uj + "2)77 





u „ + u. + u 



+ "1 + "2 13 



|(Vo^v,.v,)) V, 



J_ °P3 



2r 35 



1 /^'"3 1 ^^3 ^3 1 ^'^3 , 2 ^^"3 



Re \ 3r' 



2 '22 22 



dr r2 r2 302 r^ 7)0 J \ 2 ^r "^ 35 



dv^ v„ dv„ u„v„ 



; 



(1.31) 



. dr r ^ ad j \ 3r ^ ■" "^ r 3^ 



/dU2 U2 1 9V2 \ /3U3 U3 1 3V3 

 + + + + + + 



\ 3r ■" "■ 35 / \ 3r "" "" dd 



; 



(1.32) 



533 



