All-101 70 



8V^ _ an eli 



6 -A + yU = - ^ (__1 + _2) + £^v 



a-T ^ ay dy 2 



ex ey " ^ Ot 



Next let us write the wind-stress as the imaginary part 

 of ae"^'"' cos nsys Then if we take only the imaginary terms in 

 the remaining parts of the equation, the results will be the 

 same as those above. 



Define 



Ui,2 = aei'^U;i_,2^X'y^ ^^^2 = ae^-^v-^^gCx^y) , Tl^^^^ae^'^h^^^U.Y). 



The equations become 



ahn 



ins^Un - nsyv, = - —i + nssAu^ - 

 1 1 ax 1 



ah-, 

 ins&v-, + nsyun = - — -^ + nseL'^i 



cos nsy 



^ix "■ ^y ^ i^^2 



- ,3h-, ah^ 



ax 6X 2 



ibup - yvp = - i (—-^ + ~-^) + eAu 



i6v2 + yu2 = - ^ (-gvr^ + ^^^) -^ sAv^ 



- ,ah- ahp 



V. +"^0,. = - i7h2 



2x 2y 



The above equations muot be solved for the six unknowns. 

 The difficulty arises in trying to match the boundary layer con- 

 tirbution with the interior solution^ To conserve space, we 

 shall not give the entire analysis here, but shall confine 



