All-101 28 



the interchange of integrals and derivatives of the velocity- 

 terms have been neglected, VJe have defined U and V as mass 

 transport components rather than as volume transport components 

 (by simply including an average density in the definition) be- 

 cause we want to compare some of our quantitative results with 

 observations and \\fith the results of Munk, both of which are 

 given in terms of mass transport. 



The terms A-^ £Ji_ | and Ao QXll must give the wind- 

 ^ 9z _h ^ az -h 



stress terms since they represent the shear stress evaluated at 

 the upper limits (the shear stress terms at z = - h are negli- 

 gible since -h was chosen as the depth v/here the motion becomes 

 negligible). Thus 



A-3 -— I = "^x ~ -^ component of wind stress 

 i az _h 



An -—I = T„ = y component of wind stress* 

 J oz _h y 



In the equation of continuity we shall want to make use 

 of the kinematic free surface condition [9] 



A. [z - T](x,y,t)'\ = atz-q. 



When expanded, this equation reads 



'at ax 9y 



where v/ ' | etc. denotes the value of w '(xjyjZjt) at z = t] , 

 Integration of the continuity equation (h) yields 



ax ay "^ ax ^ ay ^ 



