IMPLODING SHOCKS AND DETONATIONS

Abstract

The gas dynamic problem of collapsing shocks and detonation waves having spherical or cylindrical symmetry is considered near the point or axis of symmetry. The solution basic to this work is the self-similar flow of a collapsing symmetrical shock wave with counterpressure neglected. The focusing effect as the flow progresses causes the front to accelerate and its velocity is singular at the instant of collapse. In the present work the perturbations, due to counterpressure and also to a uniform heat release, which give rise to essentially identical mathematical solutions, are evaluated. The basic self- similar solution is investigated in detail over a range of values of the specific heat ratio.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0479579

Entities

People

  • Robert L. Welsh

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Detonation Waves
  • Detonations
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Formulas (Mathematics)
  • Geometry
  • Heat Energy
  • Mathematics
  • Perturbations
  • Power Series
  • Shock Waves
  • Specific Heat
  • Symmetry
  • Two Dimensional
  • United States
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.
  • Pulsed Power and Plasma Physics.