190 
PACIFIC SCIENCE, Vol. IX, April, 1955 
TABLE I 
Assumed Meridional Variation of the Wind Stress t and Stress Function T 
y/a 
LATITUDE 
T 
dynes /cm 
T 
dyne lend 
REMARKS 
y/a 
LATITUDE 
T 
dynes/ cm 
T 
dyne / cm 2 
REMARKS 
+ 
.500 
60° N 
.000 
.000 
0.000 
0° 
+ .201 
X 
10 8 
-.272 
+ 
.475 
57° N 
- .037 
X 10 8 
.211 
West 
-0.025 
3° S 
.304 
X 
10 8 
-.360 
SE 
+ 
.450 
54° N 
- .141 
X 
10 8 
.396 
-0.050 
6° S 
.441 
X 
10 8 
-.463 
+ 
.425 
51° N 
- .301 
X 
10 8 
.528 
Wind 
-0.075 
9° S 
.663 
X 
10 8 
-.554 
Trades 
+ 
.400 
48° N 
- .493 
X 
10 8 
.589 
-0.100 
12° S 
.811 
X 
10 8 
-.606 
+ 
.375 
45° N 
- .694 
X 
10 8 
.573 
Drift 
-0.125 
15° S 
1.018 
X 
10 8 
-.595 
+ 
.350 
42° N 
- .876 
X 
10 8 
.482 
-0.150 
18° S 
1.208 
X 
10 8 
-.514 
- . 
+ 
.325 
39° N 
-1.015 
X 
10 8 
.327 
-0.175 
21° S 
1.360 
X 
10 8 
-.369 
+ 
.300 
36° N 
-1.094 
X 
10 8 
.132 
-0.200 
24° S 
1.454 
X 
10 8 
-.174 
+ 
.275 
33° N 
-1.104 
X 
10 8 
-.075 
-0.225 
27° S 
1.476 
X 
10 8 
+ .045 
+ 
.250 
30° N 
-1.044 
X 
10 8 
-.266 
-0.250 
30° S 
1.424 
X 
IQ 8 
+.259 
+ 
.225 
27° N 
- .926 
X 
10 8 
-.416 
NE 
-0.275 
33° S 
1 303 
X 
10 8 
+.438 
West 
+ 
.200 
24° N 
- .767 
X 
10 8 
-.507 
-0.300 
36° S 
1.131 
X 
10 8 
+.564 
+ 
.175 
21° N 
- .588 
X 
10 8 
-.534 
Trades 
-0.325 
39° S 
.927 
X 
10 8 
+.626 
Wind 
+ 
.150 
18° N 
- .411 
X 
10 8 
-.502 
-0.350 
42° S 
.714 
X 
10 8 
+ .626 
+ 
.125 
15° N 
- .253 
X 
10 8 
-.431 
-0.375 
45° S 
.510 
X 
10 8 
+ .574 
Drift 
+ 
.100 
12° N 
- .123 
X 
10 8 
-.343 
-0.400 
48° S 
• 331 
X 
10 8 
+.484 
+ 
.075 
9° N 
- .024 
X 
10 8 
-.264 
-0.425 
51° S 
.187 
X 
10 8 
+ .371 
+ 
.050 
6° N 
+ .053 
X 
10 8 
-.219 
Doldrum 
-0.450 
54° S 
.083 
X 
10 8 
+.249 
+ 
.025 
3° N 
+ .122 
X 
10 8 
-.219 
-0.475 
57° S 
.021 
X 
10 8 
+ .124 
+ 
.000 
0° 
+ .201 
X 
10 8 
-.272 
- .500 
60° S 
.000 
X 
10 8 
.000 
distribution of the wind stresses was found 
to be zonal and determined as 
Tx (0) = + 0.045544 M[(4>) ~ 0.262308 Mfo) 
+ 0.022902 Af'W + 0.069493 M[(4>) (32) 
- 0.036900 M' 6 (4>) + 0.011560 Mj(0) dyne/cm 2 
where $ is latitude so that <f> = y/R and M' m (<£) stand for M m {4>) = R~ M m (<£). 
dcf) ay 
If we are to derive (32) from a stress function T (x, y) such that 
dT 
Hoc’ 
we have a stress function which depends on or y only, or 
(33) 
T(<*») = E T„ . 
m— 1 
= { 0.29003 MiO) - 1.67122 M 2 (4>) 
+ 0.14591 AfsO) + 0.44276 Af 4 (<#>) (34) 
- 0.23510 MsO) + 0.07388 Af e O) } 
X 10 8 dynes/cm, 
provided we take R = 6.3712 X 10 8 cm. 
The values of stress and stress function computed after the formulas (32) and (34) are 
compiled in Table 1 and illustrated in Figure 2. 
From formula (32) we 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 
