All-101 5^+ 



stream and the section adjacent to the Gulf Stream, with nega- 

 tive V, corresponds to the off-shore counter-current. 



For the Gulf Stream, the extreme values of V are in 

 phase with the extreme values of the wind. However, for the 

 points between the maximum and minimum values of wind strength, 

 the transport lags behind the wind. 



During one cycle of wind variation the following result 

 is found. The transport and v/ind both have maximum values at 

 T = 7i/2. Immediately after t = 7i/2, the wind begins to decrease. 

 The transport also decreases but it lags behind the wind. At 

 1 = n the wind has reached its mean amplitude and the lag of the 

 transport is greatest, viz., an Inte'^val of 9 days elapses 

 between the time the wind reaches its mean amplitude and the 

 time at which the transport reaches its mean amplitude. After 

 T = 71 , the transport begins to gain on the wind until at 

 % = 3tc/2, the two are again in phase. The wind and the trans- 

 port now begin to increase and the transport again lags behind 

 the wind. The maximum lag is reached at t = 27i; at v;hich point 

 the transport begins to catch up to the v/ind. They are in phase 

 again at t = 5tc/2, This cycle is repeated indefinitely. 



The discussion presented here is based on the assumption 

 that the first two terms of the series represent, in a sufficient- 

 ly accurate manner, the complete solution. One result of this 

 assumption is that transport reaches its maximum value at i =71/2. 



* It is shown later that the value 9 days is independent of the 

 specific value of the frequency for slowly varying winds. 



