340 



The non-dimensional peak pressure at the time of min- 

 imum size is 3£ 



(1.30) (a^a)- = r^/' u-5/3[^ + ^^ u^-Yjti + '^^yl 

 where 



(1.31) u = 5^ 5"^. 



Actual Values of Bubble Quantities 



If T is the actual period from the beginning of the 

 bubble motion to the time of miniTiinTii size^ then 



f = cB 



or using (1.21), (1.11), (1.1) and (1.2) we find that 



(1.32) T =06Z;^/^ + P^PiZ;"^/^ 

 where 



(1.33) a =. 2X3^ ( 2g/3 ) -^/^ ( 2iTp ) "^/' E^/^ , 



(1.34) p = lQ{2g/Z)''^^^ (2Trp)"^/' E^/^. 

 Note that 



(1.35) fZ^/® = 0^ + p^j^z;^/^, 



so that TZ^' is a linear fimctlon of <P-,ZZ^ . In a later 

 o J. o 



section we shall use this formula to find ct and p and then 

 the value of E. 



The maxlmvon and mlnlmixm radii are found from formulas 

 (1.20) and (1.23) after multiplication by the \mit of 

 length, L, given in (1.1). 



The peak pressure of the bubble at a distance R from 

 the center of the bubble is 



