GENERAL CIRCULATION OF THE PACIFIC OCEAN 527 



If we are to derive (32) from a stress-function T(x,y) such that 

 dT cT 



Ave have a stress function which depends on <p or }' only, or 



00 

 in = l 



= [0.29003Mi (</,) — 1.67122M,(,3!,) 

 -f 0.14591M3(,^) + 0.44276Af , (^) 



— 0.23510Af, (<^) + 0.07388Me (^) ] X 10^ dynes/cm, (34) 

 provided we take R — 6.3712 X 10* cm. 



The values of stress and stress function computed after the formu- 

 las (32) and (34) are compiled in Table I and illustrated in Figure 2. 



From the formula (32) Ave have a much larger wind stress in the 

 west wind belt in the South Pacific Ocean than in the North Pacific. 

 It is not because we had wind observations available from the former, 

 but is a necessary consequence resulting from determining the formula 

 so as to meet the observational data for the latitudes north of 5° S. 

 .\s a matter of fact, the west wind belt in the South Pacific is said to 

 have stronger ^vind than that of the North Pacific. So this formula 

 Avill not give wind stresses in the South Pacific too inconsistent with 

 observations. 



6. Elimination of );-Coordinate 

 The equation to be solved is from (28) 



2-- V"a^~ "^ Zy^ ) ~~ 8~ \'d^ ^ 'df~) 

 cos 6 8^1 2 



where 



R dx pa \ dy 



a> \ dy dx ) 



(35) 



Between the equator and 60- N or S, cos ^ varies from I to i/,. 

 Since this is not a large variation, we may take the average value for 

 cos 6 for this range, or 



1 r^3- o^n 



cos 



- 1 r 3 



</, = ^-^ J cos ,^d<^ 



/S J !_ ^ ^ "~ Stt 



