Stability of a Hydromagnetic Poiseuille Flow (Flowing Plasma Instability).

Abstract

The present paper deals with the stability of an incompressible plane plasma sheet flow in linear approximation. The normal mode method had shown that, in the case of homogeneous boundary conditions, inhomogeneities of the plasma can lead to instabilities. Here, the effect of a parabolic velocity is examined in the low-dissipation limit. The behavior of such a plasma sheet flow is characterized by a characteristic number in the same way as the behavior of an ordinary fluid is determined by its Reynolds number. This characteristic number is the ratio of the conservative forces to the dissipative forces. The flow is stable, when the dissipative forces are predominant. If, however, the conservative forces are predominant, then a plasma behaves unlike an ordinary fluid without a magnetic field. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 15, 1970
Accession Number
AD0714616

Entities

People

  • Ernst H. Jager

Organizations

  • University of Innsbruck

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Dissipation
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluids
  • Instability
  • Magnetic Fields
  • Plasma Instabilities
  • Poiseuille Flow
  • Reynolds Number

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Plasma Physics / Magnetohydrodynamics