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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1 Citation (Scopus)

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

Fingerprint

rotating fluid
rotating fluids
diffusivity
magnetohydrodynamics
electrical conductivity
dimensionless number
Coriolis force
Magnetic permeability
Lorentz force
Rayleigh number
electrical resistivity
Fluids
Thermal diffusivity
Buoyancy
buoyancy
Hartmann number
dimensionless numbers
permeability
thermal diffusivity
Magnetic fields

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

Cite this

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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.",
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author = "Eltayeb, {I. A.} and A. Yazlcl",
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T1 - The Influence of the Electrical Conductivity of the Boundary on the Stability of a Hydromagnetic - Rotating Fluid Layer

AU - Eltayeb, I. A.

AU - Yazlcl, A.

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

KW - Boussinesq fluid

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