Tulin and Shwartz 



- D = 



A POINT OF MAXIMUM HEIGHT 



16 



TIME, W„t/z^ 



Fig. 9. The rise of an impulsively started heavy mass of fluid in 

 uniform surroundings (B = 0), theory 



(■W^) = V ^ ^^T-FBjl - TTTd)]^'' Ui +%2) • 



z 



- (i ?B/z) ' ^^ ^^^^ 



and the maximum rise of the mass, as a function of B, is obtained 

 from Eq. (55) by setting W = 0. 



Approximate integrated solution for the height of the con- 

 vected mass, z, as a function of time can be readily obtained from 

 Eq, (55) whenever D « 1 and B « 1. When these two require- 

 ments are satisfied, Eq, (55) can be rewritten as 



V Wo>' 

 and upon integration we obtain 



_-2 „_2 

 z - Bz 



(56) 



348 



