All-101 69 



The second method of attack on the non-steady two-layer 

 problem consists of separating the expression for the wind- 

 stress into its steady and periodic parts, it e, , (1 + a sin t) 

 cos nsy = cos nsy + a sin a cos nsy, and treating each problem 

 separately, This method of solution was also attempted in the 

 one-layer problem. The resulting equations could not be solved, 

 however, without recourse to numerical methods. In the present 

 case, we hope to make use of the smallness of the parameter b 

 in seeking a solution. 



In equation (3) the right hand side may be approximated 

 by 3/aT (- H^ + aHg)^ Q/Ot (- H^ + ^[2)^ aH2/a'c. 



The steady problem with cos nsy as the wind-stress term 

 has been solved previously. For the time-dependent problewj we 

 write 



H^ = ©H^, H2 = 9bH2, I = |, ^ = ^* 



Then, with the time-dependent part of the wind-stress only, (1) ■ 

 (6) become 



aa, 3H. 



ns6 — - - nsyVn = - — i + nseAU., - a sin "^ cos nsy 



a^ ^ ax -1- 



nsb — i + nsyUn = --t + nseAV, 



6t ^ ay 1 



au^ av^ _ aH^ 

 "ax" ^ "^ ^ "a"" 



6 



-n _ aH 9H 



