Welsh 



Figure 1 shows the profile A(z) for a selection of values of 



the parameter n 



a » g . fo ? ^'^'^ 

 980 cm sec~2 , 9 



and Table 1 lists values for A 







and k 



hp , have been assigned the values 1.8 x 10 ^t"-"-, 

 X 10"^ sec~^ 



and 4000 m , respectively. 



Table 1 



* k X 10-^(m^ sec"-^ °C) 



To select an appropriate value for n , we shall be guided by 

 previous results [1]. These showed values of the vertically inte- 

 grated stream function at the inflow boundary ranging from zero to 



3 X 10 



4 



m 



sec 



-1 



For comparison, the sea-surface temperature for 



March, 1961 at the inflow boundary ranges from 5 to 20 °C which 

 would require a value of 2000 for the conversion factor k , corre- 

 sponding to n in the range 4 to 5. After some trial and error 

 tests, a value of 1000 for k was applied to the 31-day mean sea- 

 surface temperature for March, 1960 to give a volume transport com- 

 parable with published values of the maximum transport, which is 

 around 80 million m^ sec"-"- . Warren [2] and others have ques- 

 tioned whether the actual maximum transport is not somewhat higher 

 than this figure. 



THE INCORPORATION OF IRROTATIONAL FLOW 



The generation of relative vorticity by horizontal divergence 

 is significant for the numerical ocean-prediction model. In the 

 previous report [1] , it was shown that the irrotational flow associ- 

 ated with horizontal divergence can be derived from a velocity 

 potential X given by 



V^A = - 







(k X Vii + VA) 'Vh = 



^ J(i>, h) 







(10) 



where J is the Jacobian derivative. The prediction equation can 

 then be written 



V^ - 



\fo^ 



ghoJ 



P- + [k X ViJ; + VA]«V 



o t 



A^V^ijj + f - 



fgh 



0, (11) 



in which the irrotational flow VA is also used to advect the 



186 



