NONLINEAR BUBBLE OSCILLATIONS

Abstract

Numerical solutions were obtained for the motion of a gas bubble in an incompressible liquid when harmonic pressure oscillations are imposed. The mean pressure in the liquid was taken to be 1 atm and the ratio of oscillating pressure amplitude, A, to the mean pressure was given the values 0.2, 0.5, 1.0 and 2.0. The equilibrium bubble radius was chosen to be R sub o = .01, .001 and, .0001 cm, and the angular frequency of the pressure variations was omega = 20, 000, 70,000, and 120,000 per sec. The phenomena of bubble 'explosion' or 'collapse' were found for large A, i.e., 1.0 and 2.0. For the smaller values of A, the bubble radius varied with time within well-defined limits, but nonlinear effects were evident.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0646755

Entities

People

  • Louis P. Solomon
  • Milton S. Plesset

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Bubbles
  • California
  • Classification
  • Collapse
  • Contractors
  • Contracts
  • Equations
  • Explosions
  • Frequency
  • Military Research
  • Numerical Integration
  • Oscillation
  • Pressure Distribution
  • Resonant Frequency
  • Standards
  • Static Pressure
  • Vapor Pressure

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Underwater engineering and Marine Technology.