Cox 



"t('-*)ps = - 4 [Uae-*)os + I(r*)] 



where 



* Lav /ps 



2 ^1 



u (r*) 



^1 / S(r,.)(r^.^,^)^^^ Z /• 



-co 



rd-; 



r7 



d^di 



and 



I(r*) = - 2_ 



2 q=i -^r, -b [^^2^2 _ 2rr* cos (9 + (^^) + r^ + r*2] 



The components of pressure Eq. (14) are 



^ r^ r(r) [rd* - r* sin (^* - ct )] dr 



?/ 



1 ^h [r2 - 2rr* cos ( 0* - a ) + r*^ + 0*2\.2]' 



(17) 



(18) 



(19) 



(20) 



a(r*,5*), 



Q 1 ^S, 



S(r,^) (r2 + X.2) d^dr 



q=i -'r, i [\.2(0-0*)2 - 2rr* COS + r2 + r*2] 



where < d* < d^ (r). .' -' _ . ■'■ ■' " 



Hence, it can be seen that 



I (r*) = - - o-(r*,0) 



where a = a(r*, 0) , since a{r*, 0)p = 0; thus 



!(.*). -^ 



T77 ' (21) 



(22) 



It is interesting to observe from Eqs. (16), (17), and (22) that normality applies 

 for cr = 0. 



Referring to Fig. 1, it can be seen that 



\. 1 + u,(r*) 



7* ^ 7* 7 



— + u^(r*) 



A. 



(23) 



Hence, using Eqs. (16), (17), (22), and (23), 



940 



