NSWC/WOL TR 76-155 



III. DISCUSSION 



29. After the above analysis was completed, George Young 

 brought to my attention a similar analysis done in 1943 by 

 E. H. Kennard (in connection with the proposed use of screens of 

 bubbles as a protective device against explosion shock waves) . His 

 development and presentation of the incompressible bubble theory 

 (pp. 190-191, Ref. 5) is verv convenient for calculating bubble 

 motions such as the example used in this note, i.e., response to 

 jumps in constant outside pressure states restricted to those instants 

 when the radial velocity, A = 0. I redid the calculations summarized 

 in Table A2 using Kennard 1 s "bubble theory" and the bubble radii and 

 periods of oscillation were in all cases within 1% of my previous 

 values calculated using the equations presented in this Appendix. 



A-21 



