All-101 88 



OGGan. Near the boundary x' = 0, It is shown that Uq = 0(1), 

 Vo = 0(e-l/3) u ^ o(£-l/3) V ^ 0(6-2/3) and #-, has the 

 GffGct Of multiplying the magnitudo of a term by 0(e-l/3), 

 Based on those results the terms to bo compared are 

 given in the table bolovr. 



Interior Near x' = 



Vo = 0(1) Vq = 0(e-l/3) 



V ^i ^^o - v0(l) V ^^o '^o or -1^ 



V-L = 0(1) Yj_ = 0(e-2/3) 



Thus, in the interior in each case wo have 0(1) vs. 

 Y0(1) , Near the boundary x* = 0, in each case we must com- 

 pare 0(1) vs. yO^^ 3). Hence, the relationship of the non- 

 linear terras to the Coriolis terms is essentially the same 

 in the tv/o sets of equations. It would seem therefore that, 

 if the non-linear terms can be neglected in the steady equation 

 (10), they can also be neglected in the first-order, non-steady 

 equation (12). 



