CONTENTS ix 



8.4 General Equations of Noncompressive Motion 285 



8.5 Motion of a Gas Sphere under Gravity 287 



8.6 Calculations of Gravity Effects and Comparison with 



Experiment 295 



8.7 Effects of Compressibility and Nonspherical Form on 



Bubble Motion 305 



8.8 Effects of Boundary Surfaces: the Method of Images 312 



8.9 The Equations of Motion for a Sphere and Bounding 



Surfaces 323 



8.10 Calculated Motion of a Gas Sphere near Surfaces 332 



8.11 Measurements of Periods and Migration near Surfaces 341 



9. Secondary Pressure Waves 



9.1 The Generahzed Form of Bernoulli's Equation 354 



9.2 The Pressure Distribution for Gravity Alone 355 



9.3 Pressures during the Contraction Phase 364 



9.4 Energy Losses in the Pulsations 374 



9.5 Problems in Measurements of Secondary Pulses 379 



9.6 Experimental Measurements of Secondary Pulse Pres- 



sures 



10. Surface and Other Effects 



383 



10.1 Phenomena above the Water Surface 392 



10.2 Dome Formation 395 



10.3 Determination of Depths of Explosion 395 



10.4 Pressures near Yielding Surfaces 402 



10.5 Plastic Deformation and Diffraction Effects 407 



10.6 Motion of a Circular Plate 414 



10.7 General Considerations in Underwater Explosion 



Damage 421 



Appendix. Approximations in the Propagation Theory of Kirk- 

 wood and Bethe 425 



Bibliography 427 



Index 433 



