IS 



Derivation of one of the Equations ht 



r(4r)-(i^)+a)-crj)'a)+ 



/rf^Vx / \dr.ili/ \dx / -1 



yur) ' yirO "*" ydx) ■ L\dLdr/'\'dT) ' 



I (^^)-0]- Again. 



"•(f)J(^)-(^) + (^) •(!-) + 



(if) • (17) 5 therefore, we have 



( dy') _ 



''i/ 



\ 'fi/- / \ dr J • dy "T" V<yi// 



dy 



'O 



a) 



z.e. 



/dY^ \dy/ /<« \ V ^^^ / /^ \ 



\ dy / / dT\ V rf'^f / . 



f'"(^)-(p + (i)-C(f )•(!)+ 



\dFT^) • V d^/ "^ Vrf^Trf^/ • \"^/J ^ 



VlW~y • \rfi^/ "^ \dy) ' LXdUr) ' Kd^)"^ 

 Kim ) ' \dy) "^ \ dU* ) ' K'diJj'^ 



\~d7) 'Vdy-y + V^^Z-LVl^/ Xd^)'^ 

 Kd^'O ' Vrf^/ "^ \d^) ' \d^)j' 



"K^i) = (")-a)HT:)-a)-»- 



(S) •(-?). Hence, 



(^)=< 



(^D- 



(I) 



<2 



+ 



(^) 



'(^) 



(dV 



