355 



Notice that since u Is near one the bracket does not 

 change much as k changes . 



We may write formula (3.26) for the pressure in a 

 more convenient form as follows : 



«-i Jj Lt / ^ * \ * c» — Lt I Ct * \ * 



^=^r(^^) =3PSZo-R(^a) 

 (3.29) 



- ^2/3 ^2/3 L(y - l)u + ^ H 



by formulas (1.3) and ( 3 . 28 ) . 



Replace L by Its value given in (1.1); then 



(r - l)pgZ -,_ ,p, -, /, 



This formula can be combined with the formulas (1.33) and 

 (1.34) for a. and p to solve for the three parameters of 

 the bubble motion: rQ, K and y- 



Suppose, for example, that we know P when the momen- 

 ttua, 3, is zero. This means that e = and u = 1. Con- 

 sider the ratio P/o6. We have 



(V - i)pg(^)V^ z2/3 



(3.51) I = ^ ^yg ° 



and the right side depends only on k and y. Combining 

 this with the formula for a /(3 , which also depends only 

 on k and y, we will be able to solve for these quantities. 



