All-101 13 



transport are independent of the frequency. The magnitude of 

 the out-of-phase effect (the second term in the perturbation 

 series) which is largest when the wind has its steady value, 

 is proportional to the frequency. 



The time variation of the wind affects the Gulf Stream 

 only by changing the mass transport through the Stream. It 

 does not change the Stream's position. 



As can be seen from Fig. 2y the relative importance of 

 the out-of-phase effect is greatest in the counter-current. 



Figure 3 is a graph of the north-south mass transport 

 component near the eastern boundary of the rectangular ocean 

 at the latitude y' = 0. 25» The accompanying out-of-phase effect 

 is shown at its maxim.um in the figure, V is negative on the 

 eastern coast, i.e., the mass transport is tov\/ard the south* 



Figures ^, 5? and 6 show the contour lines of the free 

 surface in the southern half of the ocean for various times. 

 With the values of the contour lines multiplied by -200 the 

 three figures represent the contour lines of the thermocline, 

 Qualitatively, the results agree fairly well with observation 

 though some of the natural features are missing. It seems 

 likely, however, that most missing features result from local 

 effects which we have not taken into account. 



Because of the lengthy computations involved, we have 

 calculated numerical results for only one set of values of the 

 parameters. It can be seen from the analytical results that if 

 the average depth of the top layer be changed, the values for 

 the deflection of the free surface and the out-of-phase 



