MAGNETOHYDRODYNAMIC SHOCK PROPOGATION IN NONUNIFORM DUCTS

Abstract

Perturbation is produced when an initially plane magnetohydrodynamic shock wave encounters an area variation, the problem being linearized on the basis of small area variations. To ensure that all change in the behavior of the shock are caused by the non-uniform area, it is assumed that the area variations are confined to the region x > 0 while to the left of the section x equals 0 (say), the tube is of constant area, and the initially plane shock propagates through this portion with constant speed. The fluid in front of the shock is assumed at rest. When the shock meets the area variation, it is perturbed, the shock strength altered, and the subsequent flow is non- isentropic. There are two distinct contributions to the disturbance, namely, a permanent perturbation caused directly by the area change and a transient disturbance, due to reflection from the shock of the permanent perturbation, which propagates with velocity.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0274629

Entities

People

  • Roy M. Gundersen

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Base Flow
  • Contracts
  • Electrical Conductivity
  • Equations
  • Equations Of Motion
  • Flow
  • Gas Dynamics
  • Government Procurement
  • Magnetic Fields
  • Mathematics
  • Particles
  • Perturbations
  • Shock
  • Steady Flow
  • Steady State
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Combustion and Flow Dynamics.
  • Plasma Physics / Magnetohydrodynamics