All-lCl 



93 



Appen dix ^(a) . Derivation of Relationship Between T and n , 



With the density distribution given by 



P =P 



o 



n > z > T 



p =P n [ 1 + C(T-Z) ] 



T > z > T - d 



P=P_h-Po^l + cd] T-d>z 



we can find a relationship betv;eon T and x] by considering the 

 conditions 



1 9£ 

 p 9x 



= 



'.=-h 



1 9£ 

 P 9y 



= 0. 



z=-h 



The hydrostatic pressure equation is 



P = g \ ' P 



^ pdC 



1 9£ 

 p 9x 



f\: n^^^fi^ p 



1 m 



p 9x 



z=-h 



_ -^ 



' P-h 



' ^ 9£ J. _£_, 9n p 



_^ ax ^^ ^ P_h 9x ^o 







But 



9^ 



ax 



= T] > z > T 



p^c ^ T >. z > T-d 

 o 3x - - 



= 



T-d > z 



Hence, 



