NSWC/WOL TR 76-155 



12. Since the oscillation in state 1 starts at an extremum, 

 the bubble parameter k can easily be computed from Equation A4 . From 

 (A4) together with (A23) and A25 we get 



k l = x i (1+x i ) Y 



(A26) 



where 



x i ■ Tr^lbr (A27) 



13. Calculation of the Subsequent Extremum . The bubble 

 radius at the next extremum (]/2 period later in time) is calculated 

 from the initial value A = A. by either dividing or multiplying 



by the ratio ( — J obtained from Table I (by linear interpolation 



\ a m/l 

 for the calculations done here) . The corresponding air pressure P 



inside the bubble is then calculated using Equation A18, i.e., 



(A28) 



14. Calculation of the Bubble Period . The bubble period 

 of oscillation T is the product of the dimensionless period, 

 t = F(y,k) , given in Table I and the time scale factor C (Equations 

 A15 and A14) 



T x = T' x C (A29) 



Combining (A14, (A21) and (A27) , we write for the length scale factor 



L x = A i (1 + X 1 ) ]/3 (A30) 



A-9 



