AT^-lOl 31 



One can consider the above form for the wind as a typi- 

 cal term in a Fourier series for a more general wind distribu- 

 tion. The numerical results in this report are based on a value 

 of w corresponding to a period of one year and n is set equal 

 to 2t[/s where s is the north-south length of the ocean. 



The problem defined by equations (22), (23), (2^-) to- 

 gether with the boundary conditions and the wind-stress term 

 will be referred to as the one-layer problem or Problem I5 

 ("one layer" because the integration over 2 is carried out over 

 the entire depth). 



For the second problem in which the density stratifica- 

 tion is specified as two constant density layers, v/e have equa- 

 tions (5) - (10). Each equation will be integrated over the 

 vertical coordinate, z, v/ith (5) - (7) integrated over the top 

 layer, i.e. , from z = D2 + 1 2 ^° ^ - ^1 ■"" ll? ^-^^ ^S) - (10) 

 integrated over the lov;er layer, i.e. , from z = to z = Dp + r] p. 



As in problem 1, the non-linear terms, u-,| 3T]/at etc., 

 resulting from the interchange of differentiation and integra- 

 tion, are neglected. The viscous terms are integrated in the 

 same manner and the Coriolis parameter is again linearized. 

 Then the integrated forms of (5) - (10) are 



-i - PyV^ + g(Di - D2 + ni - 12) ~J^ = AAU-L 4- T^^ -T^^ (25) 

 — 1 + Py\ + g(Di - Dp + T,^ - 12) i^^P-l = m^ + T^y - T2y (26) 



au. av-, 



•ir-"?r^-Ft ^Pi^i- ^^2^2) (27) 



