OCEAN TEMPERATURES 



387 



where <f> t is the temperature at the time t, A<^ is the corresponding 

 reduction, <j> m is the mean annual temperature, and A< is the reduction 

 of the mean annual temperature. Substituting the numerical values 

 for y equals 40 meters, from page 385, equation (137) reduces to 



A * t = 13\1 5 5 6 6 (8 - 3) ( ' 852) ( ' 24)= (^^) 1-7 = -227^-1.27 



(138) 



Substituting the observed values of <j> t at the depth y equals 40 from 

 table 6 in equation (138) gives the values of A<^ entered in the 

 second line of table 10. 



TABLE 10 

 The monthly temperature reduction at the depth of 40 meters near San Diego. 



But the vertical velocity is u\ ( 1 -|- .2 cos ^ Y and because of its 



\WiT 



variation with respect to time a correction equal to e y ^ C ~^~ sin at 

 (equation 116) must be added to these values. The correction for 

 this case is 



.38e-- 16 cos (30* + 75) = .324 cos (30* + 75) = A</> r 



(last term of equation 124, p. 378), and the values are entered in the 

 third line of table 10. Finally the fourth line gives &<f> t + A</> r = A0 ( 

 the total temperature reduction at the depth y = 40 meters. 



Computing C from equations (136) and (135) and substituting 

 the result in equation (133) gives the expression 



(?/ 600) (.0148) sinh 



(w 2 \ 

 4Qg2J 



6 7760 



e 7760 e 7760 4- sinh 



e 7750 



.. 

 \4062 / 



for the mean annual reduction in temperature at the depth y due 

 to the mean annual velocity of up welling iv l . The values of this ex- 

 pression corresponding to a series of values of n\ (expressed in meters 

 per month are presented in table 11 for the depth y = 40 meters. 



