All-101 9^ 



1 nji 



p 9x 





or 



cd |T ^ an ^ Q 

 3x ax 



or ^ _i_ ari ^ pp a.T| , . 



ax " cd ax "Ap" ax ^ -^ 



where Ap = p , - p 

 Similarly, 



91 - - ^S. In (2) 



8y - Ap ay ^^^ 



Integrating (1) and (2), v/e have finally 



T = - P o T] - G 

 Ap 



where T = - C when t] = 0, 



Appendix ^(b) . Derivation of Integrated Pressure Terms . 



In order to compute the terms -i ^ dz, i ™Q d 



(J-h P ax ' J -h p ay 



we must divide the region of integration into three separate 



parts, viz. , 



J -h J -h J T-d T 



z, 





