9V ^ _n. , _i^ = _fu - gD ^ + gD ^ + ^1^^^-^ ^ - W P (2) 



3S 3U 3V 

 3t 3x "" 3y ~ 



P 



M = / u^ dz; 



M =/ V 



yy /-d 



U = / udz; 

 J -d 



V =/ vdz 



(3) 



•/: 



-s 



M = I uvdz: 



^y J -d 



The symbols used are defined as follows; 



U, V = X and y components, respectively, of volume transport per unit 



width. 

 t = time 



M , M , M = Momenttmi transport quantities 

 XX* yy* xy r n 



f = 2ta sin ^ = Coriolis parameter 



0) = angular velocity of earth = 2tt/24 radians per houri 



(f, = geographical latitude 



t , T = X and y components of surface wind stress. 



, , T^ = X and y components of bottom stress 



p = density of water. 



W , W = X and y components of wind speed. 



5 = Atmospheric pressure deficit in head of water. 



u, V = X and y components, respectively, of current velocity. 



P = Precipitation rate (depth/time) . 



g = gravity 



Equations (1) and (2) are the expressions for conservation of momen- 

 tum and often referred to as the eq^iations of motion. These equations are 



