Burger's Equation and Shock Waves Propagating within Liquid-Gas Mixtures,

Abstract

In this paper the time evolution of weak shock waves propagating within a fluid-gas mixture is considered. The model uses continuum classical theory to describe the shock waves and allows for the relative motion of the gas bubbles and liquid. It is shown that for a dissipative system the waves are governed by Burger's Equation. This corresponds to the far-field solution for waves of small amplitude and long wavelength. The model also provides a non-linear description of how the compression wave forms and approaches a steady state. Keywords: Shock waves; Wave propagation; Mathematical models; and Australia.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA161554

Entities

People

  • E. H. Van Leeuwen

Organizations

  • Defence Science and Technology Group

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Classification
  • Compression
  • Compression Waves
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Far Field
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Long Wavelengths
  • Mathematical Models
  • Navier Stokes Equations
  • Shock Waves
  • Steady State
  • Wave Propagation
  • Waveforms

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Combustion Dynamics and Shock Wave Physics.