94 SMITHSONIAN MISCELLANEOUS COLLECTIONS 



we have: 



VOL. 51 



w = 



= — \&vF'dy = — aCm cos m x I e F' (y) e -ny d y 



Vo 



= a cos mx X 109. 



2/0 



Therefore, the depth of the precipitation will here be represented 

 by a simple cosine curve and, in general, corresponds to the slope 

 of the mountain, which is computed from equation (5') by the 

 expression : 



d rj Cm cos mx.e~ rri 

 dx 1 -f Cr sin mx.e~ r 



For the region lying above the lower cloud limit y the value of 

 W(x) cannot be represented by a simple function of x. We find 



X*-6 5 -4 



*Z +J <•£ +5 *-6Jc;i. 



FIG. 2 



the precipitation in millimeters per hour for a horizontal velocity 

 a — 1, as follows: 



For* = -6 -5 -4 -3 -2 \ 



W = 1.01 1.96 2.78 3.40 / 



F,,r a- = -1 0+2 +4 +6 \ 



W"=3.50 2.94 1.95 0.88 f 



Beli >w the cloud. 

 the cloud. 



The distribution of precipitation, as given by these figures is 

 sli own in fig. 2 by the curve of dashes. The curve of dots repre- 

 sents the symmetrical line that would obtain if the mountain were 

 not immersed in the clouds. The location of maximum precipita- 

 tion is 3.93 for x = o and is 3.68 for x = — 1.3. 



