THE FLOW OF A CONDUCTING GAS JET WITH ALIGNED MAGNETIC FIELD

Abstract

When an infinitely conducting fluid flows under the influence of a magnetic field in such a way that the velocity and magnetic fields are aligned, then the governing equations may formally be reduced to those of ordinary gas dynamics. The equations are still nonlinear, but if one restricts attention to plane flows, then the hodograph technique may be employed. The equations in the hodograph plane are linear and may be solved exactly. The difficulty then remaining is to satisfy the boundary conditions. Only for restricted classes of problems can this be done. This paper treats one such class of problems: the flow of a jet of gas out of a slit in a rectangular channel. The method used is a modification of the original method of Chaplygin for nonconducting gas jets.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1965
Accession Number
AD0614420

Entities

People

  • Stanley A. Berger

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Equations
  • Flow
  • Flow Fields
  • Flow Rate
  • Fluid Flow
  • Gas Dynamics
  • Hard Copy
  • Hodographs
  • Hypergeometric Functions
  • Magnetic Fields
  • Mass Flow
  • Partial Differential Equations
  • Steady Flow

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.