THE STABILITY OF SPHERICAL BLAST WAVES,

Abstract

The stability of strong spherical blast waves to infinitesimal perturbations is examined in the limit (gamma-1) << 1, where gamma is the ratio of specific heats. By making a 'thin sheet' approximation to the geometry it is found possible to describe all perturbations as a sum of spherical harmonics. By transforming to a new time-like variable, one can obtain a set of ordinary constant-coefficient differential equations for the perturbation corresponding to each spherical harmonic, and one then obtains a dispersion relation giving the growth rate of each harmonic. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0691301

Entities

People

  • Richard A. Gerwin
  • Richard B. Hall

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Blast
  • Blast Waves
  • Coefficients
  • Differential Equations
  • Dispersion Relations
  • Dispersions
  • Equations
  • Geometry
  • Harmonics
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Perturbations
  • Specific Heat
  • Spherical Harmonics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics