A"! 1-101 16 



the one-layer problem is restricted to a range of frequency 

 values corresponding to less than one oscillation every hundred 

 years* Since these results are not physically interesting no 

 numerical results were computed, 



A second method of attack is then attempted. The wind- 

 stress term is first divided into its steady and non-steady parts 

 and the two problems are treated separately v/ithout resorting 

 to a perturbation in the time parameter. This method had been 

 attempted for the one-layer problem with no success. In the 

 present case, however, it was hoped that the new parameter in- 

 volving the density difference could be used to advantage. Un- 

 fortunately, an analytic solution still appears to be quite 

 hopeless. 



The one interesting fact which seems to emerge from the 

 attempts at the solution of our Idealized, two-layer, non-steady 

 problem concerns the magnitude of the lower layer transport, VJe 

 must recall that, in the case treated, the solution is restricted 

 to the frequency range for which the thermocline responds to the 

 variation of the top surface in a quasi-steady manner; i.e., as 

 a result of any change in the free surface, the thermocline 

 assumes the same shape as it would for a steady problem with the 

 given free surface, except for a small out-of -phase correction. 

 In this case, the mass transport in the lov/er layer, excluding 

 whatever transport may be caused by shear at the interface, is 

 of the same order of magnitude as that portion of the transport 

 in the upper layer v/hich is out of -phase v/ith the wind. For a 

 higher frequency this result does not necessarily hold true. 



