404 MISCELLANEOUS STUDIES 



equals 324,000 meters per month and a equals (p. 402). Substi- 



75 



tuting these numerical values in equation (193) and expressing z in 

 miles gives 



df(z) =.Q2W for 3 = 0, 



dz 

 and 



df(z) 



= .0105 for = 10. (194) 



While these conditions, which f(z) and , must satisfy, do not 



dz 



determine the functions precisely, they suffice for a rough estimate. 

 The following form 



f(z) = 1 _ kj-te (1 kje-*** (195) 



has the value zero when z equals zero and approaches 1 as z increases 

 indefinitely for all positive values are of /^ and h 2 , and differentiating 

 with respect to z 



(196) 



The above expression for - satisfies the conditions expressed by 



equation (194) for the following values of the constants found by trial : 



7^ = 01, ^=.93, 7i 2 =.17, (1 A:J=.07. 



Therefore from equation (193) the vertical velocity at any depth ?/ 

 equals 



W = 2960 $1^1 = 296,0 (.0093e- 01 * .0119e- 17 *) (197) 

 az 



and from equation (192) the ratio of the upward flux within a dis- 

 tance z from the coast to the total flux is proportional to 



/(z) = l_.93e- 01 * .07e- 1T * (198) 



where z is the distance from the coast in miles. The values of /() 



and -^5 are tabulated with respect to z in table 14. 

 dz 



