Aii-101 59 



+ nseAU-, - (1 + a sin t)cos nsy (1) 



ns6 ^l + nsyU. - - Hi - i}£^ [ H. - ali, ] ISi + ns eAV, (2) 

 & -r^ - yVp = - t^ (H. + bH^) - \Hp A (H. + bHp) +eAUp(^-) 



aT ^ ax ^ 2' ^ ax 



av. 



aT ■ "^ "'^ "ay ^'"1 ' "^'2' '^^^^ a^ 



6 ^ + yU2 = -1.9 (H-L + bH2) - XH2 ±. (H^ + bH^) ■^e^Y^{5) 



aug avp _ 9H2 



ax ay a T 



s teady Wind 

 Let us first treat the case of a steady wind, i.e., 

 a= and ^at = a/a-r = 0, and let us assume that, in the case 

 of steady motion, there are no velocities, and hence no horizon- 

 tal pressure gradient, In the bottom layer. Equations {h ) - 

 ( 6 ) are then satisfied im.mediately by 



U2 - V2 = 0, H2 - - ^ H^ (7) 



and equations (1) - (6) become 



- nsyVi = - A [ 9Ht + £^-J d^] + nseAU-, - cos nsy (8) 

 "^•^ ax-'-2bl -L 



a r on_ 4- i^sX tt2 



nsyU, r: - A [ 0H. + ii£^ H^ + nseAV, (9) 



•^1 ay -^ 2b 1 ^ 



.^ + ™J= = 0. (10) 



ax ay 



