The Influence of the Electrical Conductivity of the Boundary on the Stability of a Hydromagnetic - Rotating Fluid Layer

I. A. Eltayeb, A. Yazlcl

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Abstract

The stability of a horizontal layer of Boussinesq fluid, heated from below and cooled from above, rotating uniformly about the vertical in the presence of a uniform vertical magnetic field is studied for the case where the thermal diffusivity K is much larger than the magnetic diffusivity n (= l/μlδe where μ is the magnetic permeability and μ, is the electrical conductivity). The stability problem depends on the five dimensionless numbers Ra, T, M, q, qb. The Rayleigh number, Ra, is a measure of the buoyancy force, the Taylor number, T, is a measure of the Coriolis force, the Hartmann number, M, is a measure of the Lorentz force and q=k/n, while qb=Kμδb, where ub is the electrical conductivity of the boundary.

Original languageEnglish
Pages (from-to)213-231
Number of pages19
JournalGeophysical and Astrophysical Fluid Dynamics
Volume41
Issue number3-4
DOIs
Publication statusPublished - 1988

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Keywords

  • Boussinesq fluid
  • magnetohydrodynamic waves
  • rotating fluid layer
  • stability

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics
  • Computational Mechanics
  • Astronomy and Astrophysics
  • Mechanics of Materials

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