AIT -1^1 36 



y = sy', X = sx'. 



Then the east-west and north-south dimensions of the ocean in 

 non-dimensional coordinates will be 



0<x'<-i = r, 0<y'<l. 

 — — s ' — — 



We shall assume that the ocean is bounded by land on 

 x' = 0,r and by water on y' =0,1. 



Now differentiate equation (3. 23) with respect to x and 

 equation (3e22) v/ith respect to y and subtract. Substituting 

 for the prescribed wind-stress j t^j we then have 



5t 8x dy^ ^-^ ax 3y ^ gx ay 



- [nV/' + riT ' sin wt] sin ny, (1) 



Introducing ,. 



f - X „ ( _ y 



and defining 



X' = ^, y ' = I. T = ojt 

 s' s' 



nW = V/, nr' = r, a = ~ = C 



equation (1) becomes 



^ a^^iTf aF^^ ^ Py ^aTT ^ i7^) + P^ 



^ A [ 9^v + a-^v . a% _ a^u -. 

 s^ ax 3 ax'ay'^ ax'^ay a y'-^ 



- W [1 + a sin T]sin nsy ' (2) 

 or 



