THEORy OF THE PULSATIONS OF THE GAS BUBBLE PRODUCED 

 BY AN UNDERWATER EXPLOSION 

 by 

 Conyers Herring 



35 



CONTENTS 



1. Introduction 1 



2. Homology Rules 6 



3. Non-Compressive Theory with Spherical Symmetry 9 



4. Acoustic Radiation by a Spherically Symmetrical 



Bubble 16 



5. Migration of a Shperical Bubble 22 



6. Departures from Spherical Shape 32 



7. The Energy Balance 35 

 Appendix 1 : Pulsations of a Bubble in an Incompressible 



Fluid 39 



Appendix 2 : Pulsations of a Bubble in a Fluid of Finite 



Compressibility 44 



Appendix 3 : Calculations of the Rate of Radiation of 



Energy 54 



Appendix 4 : Effect of Gravity 59 



Appendix 5 : Effect of Proximity to a Free or to a 



Rigid Surface 64 



Appendix 6 : Pressure Distribution in Non-Compressive 



Radial Motion 79 



Appendix 7 : Effect of the Inertia of the Tas on the 



Pressure Pulse 82 



Appendix 8 : Resume of Ramsauer's Experiments 84 



