where 



NSWC/WOL TR 76-155 



If p > P , then A = A (A35) 



l C 1 M 2 C 1 



P M = P„ (A36) 



M 2 C] _ 



If p n < P , then A = A (A37) 



2 c l m 2 °1 



P = P (A38) 



m 2 Cl 



20. Next, for the bubble parameter k we have 



k 2 = X 2 (1 + X 2 ) Y (A39) 



P 

 X. = -, 4 (A40) 



L 2 (Y-D P 2 



With this value for k_ the bubble radius at the subsequent extremum 



can now be calculated by either dividing or multiplying the starting 



value A by the ratio (a AO » obtained from Table I. The corre- 

 c, m M z 



sponding air pressure P inside the bubble can then be calculated 



by Equation A18. And finally the period of oscillation can be 



calculated from 



T„ = 



(§f* 2 ) 



V2 



(1 +X ) ]/3 (1.476 + 0.4 k,) A^ (A41) 



2 ^~ ' 2 | vx "2' li, " u ' 2' c 1 



A-12 



