Desai and Lieber 



and 



BVVo 1^00 ^^Vo i^^o^^'^o 1 



Re 



VVo 





Br ^U Bi 



^ 3^ / 3r \ "■ Br / 30 Re ^ 



■BV20, 



1 B 



^^2 / 1 B 



>^. 



^M-7^V^(^o^^.)j-nrB-"^^^o^^.);3. 



B \ ^^^2 / 1 3 X BVV2 1 ^ 



\r 30 ^^0 v^i^y 3j. \ r 3r ^^° ^^ V B0 Re \ 



^ ^0 bT r 3j. 3^ /J 



3VV3 1 



3V2^3 ^ ^ 



/I s 



+ ((/;- + i//, + i//„) — 



J 3^.2 3V202 ^3^^2 37202 

 r 30 Br ^ Br 30 



•• = . 



-rj; (^o + v^i^^2) -^ 



Re 



30 



(1.33) 



Eqs. (1.30), (1.31), (1.32), and (1.33) can be rewritten concisely as follows 

 so that certain regular features stand out: 



Bt ~ R^ Ib72 ^ r — .2 + .2 ;,fl2 



1 — 



2 Br 



ir r' r- 



^"0 ^0 ^"0 ^0^ 



2 3 



Rer2 Br/ ° 



PoM^o^ + T 



E 



■^ _3_ _3_ J_ /_B_^ 1 A _ J- J. 11 



Bt ' ^^" Br ' ^" 30 ' ""^^ " Re Ur2 ' ^ 3 , " , 2 " , 2 3^2 



. (d,„+ _1^±U„ W^^)P,+ f,. 



Rer^ 3^ 



2 Br 



; 



(1.30a) 



534 



