Tulin and Shwartz 



where 



A.(f)G and G .^ (|-P) ,44) 





B H (II) S and S . ^ (45) 



D - ^ (46) 



n= 2(1 + D) (47) 



and 



z = z/zq (48) 



The parameter G is a measure of the initial buoyancy of the 

 convected mean relative to the initial momentum. G is taken as 

 positive when a net buoyancy force is acting on the mass, i.e. 

 Ap < 0. S is a measure of the added buoyancy which would result 

 from moving the convected ma ss a vertical distance Zq through a 

 stratified medium. Since V^g is the frequency with which a finite 

 volume of fluid of given density would oscillate in a stratified mediumL, 

 often referred to as the Vaisala frequency, the parameter S can 

 also be considered as the square of the ratio of the characteristic 

 time of the convected motion, z^/Wq, and the reciprocal of the 

 Vaisala frequency. 



The maximum height of the rising mass, reached at the point 

 where W = 0, is according to (43), given by the solution of the 

 following: 



It is of interest to consider certain special cases: 



1. A mass rising in a homogeneous medium with the 

 same density as itself; i.e. , A = and B = 0. Then 



346 



