STABILITY DIAGRAMS FOR MAGNETOGASDYNAMIC CHANNEL FLOW

Abstract

A study is made of the influence of a coplanar magnetic field on the stability of a conducting fluid flowing between parallel planes. After derivation of the general stability equations for small magnetic Reynolds number, numerical results are obtained for the case where initial perturbations of the magnetic field vanish. This must occur if the channel walls have zero or infinite conductivity. Four sets of stability diagrams are presented so that each stability curve will represent the effect of a given applied magnetic field as only one of the four quantities in the Reynolds number is changed. The flow is always stable for initial disturbances of the field produced by passage of a pulsating current through walls of finite conductivity.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0621571

Entities

People

  • F. D. Hains

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Channel Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Conductivity
  • Differential Equations
  • Eigenvalues
  • Electrical Conductivity
  • Equations
  • Flow
  • Fluid Dynamics
  • Linear Algebraic Equations
  • Magnetic Fields
  • Numbers
  • Poiseuille Flow
  • Reynolds Number

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Plasma Physics / Magnetohydrodynamics