A Theoretical Investigation of Gas-Bubble Implosions in Liquids

Abstract

Two methods are presented for calculating the instantaneous pressure, velocity, acceleration, and radius associated with the collapse of a spherical gas-filled cavity in an infinite compressible liquid. One is based on the ideal gas law, the other is based on the Beattie-Bridgeman equation of state for the gas inside the cavity. In most cases the latter assumption must be restricted to relatively mild implosions. The good agreement between the two methods serves to verify their validity. Included are listings of the two Fortran IV computer programs used to obtain numerical results of the analyses based on the ideal and Beattie-Bridgeman gas models. The influence of several different gases, initial internal gas pressures, and liquids on the collapse is studied. On the basis of explanations of the resulting behavior, new methods of producing similar behavior are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0845072

Entities

People

  • David W Taylor
  • Russel R. Lilliston

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Chemical Reactions
  • Computer Programs
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Gas Laws
  • Heat Capacity
  • Heat Energy
  • High Temperature
  • Ideal Gas Law
  • Internal Pressure
  • Model Basins
  • Numerical Analysis
  • Specific Volume
  • Thermodynamic Properties
  • Thermodynamics

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  • Fluid Dynamics.
  • Pulsed Power and Plasma Physics.