GRAVITATIONAL INSTABILITY OF A VISCOUS FLUID IN A MAGNETIC FIELD,

Abstract

The instability of a viscous fluid between two infinite vertical plates and heated from below in the presence of a magnetic field perpendicular to the plates is investigated, and the most critical stability boundary in the space of the Rayleigh number R, Hartmann number M, and the horizontal wave number a is determined. It is found that the most unstable mode is a symmetric mode with zero wave-number, and that for any M the fluid is unstable for any non-zero R, however small. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 16, 1964
Accession Number
AD0622120

Entities

People

  • Chia-shun Yih

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Fluid Mechanics
  • Instability
  • Magnetic Fields
  • Mechanics

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Plasma Physics / Magnetohydrodynamics
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster