Self-Conveoting Flows 



eters, which were used to collapse data taken under differing con- 

 ditions. Good agreement was found between predicted and observed 

 trajectories. Particularly good agreement was found for the maxi- 

 mum height of rise. The time required to reach maximum height^ 



was found to be inversely proportion al t o the Valsala frequency, V^-g* 

 and was given approximately by ^-xna*!^ ~ ^*^> ^^ good agreement 

 with the theory. In general the experiments confirmed the utility 

 of the simplified theory for predictions of the motion of vortex pairs 

 in stratified media. This theory has been utilized elsewhere for 

 the prediction of the behavior of chimney plumes rising into a stable 

 atmosphere, with very good agreement between the theory and full 

 scale observations, Tulin and Schwartz [ 1970] , and also with 

 excellent correlation with experiments to the penetration of a density 

 discontinuity by a turbulent vortex-pair, Birkhead, Shwartz , and 

 Tulin [1969] . 



ACKNOWLEDGMENT 



This work was supported by the Naval Air Systems Command, 

 the Air Programs Branch and the Fluid Dynamics Branch of the 

 Office of Naval Research under Contract No, N00014-70-C-0345, 

 which support is gratefully acknowledged, 



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 1969. 



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357 



