Studies on the Motion of Viscous Flows — III 



Second Iteration :> ' . ••:;•■:.;- 



Governing Equations 



Re Rp 



+ — (B-Bj - B^S^) + - (B,;B; - BJS^) = ; (2.65) 



^ ^ ' r2 2 2 \ r2 r / 1 2r V r^ V ' 



where 



+ — (d;Si-Dj«;) + — (bjSj-BjB;) = ; (2.66) 



2r 2r , , 



®i ^ c; + Id; - ^D, ; ,^ K-?;- ^ ^2.67) 



®2 ^ D^' + i D^ - 4 D, . (2.68) 



Boundary Conditions 



Dj(l) = D^Cl) = d;(1) = d;(1) = ; " (2.69) 



Dj(hf) = D^Chf) = D;(h*) = D^(h?) = .. . • (2.70) 



Error Equations \ ' .. ■' 



(r - i- bJ®; - 2 (l + -i- b;)®, + (®iB2-2B^3^;) + (D^S^-D^S^) 



+ 2 (S2DI-S;D2) + (SjB^-BiS^) + 2 ('E^Bj-Bj^;) = ; (2.71) 



(Bjfi^-B^S^) + (D2S;-D^!B2) + (iB2B;-;B;B2) = . (2.72) 



TRANSFORMATIONS OF THE SPACE VARIABLE r 



The radial coordinate r varies from r = 1 to r = m, where the symbol oo 

 is used in the sense of the idea of a physically infinite distance. The solutions 



571 



