Fluid Dynamics

, Volume 6, Issue 2, pp 197–202 | Cite as

Convective motion of a conducting liquid carrying a current in a transverse magnetic field

  • O. A. Éismont
Article
  • 18 Downloads

Abstract

The convective instability of a layer of conducting liquid carrying a current and lying in a magnetic field perpendicular to the current is considered. The problem of the nonconductive approximation in a linear setting is solved. The relationships between the Rayleigh number and the Hartmann number (determining the neutral stability) are derived.

Keywords

Magnetic Field Rayleigh Number Convective Instability Transverse Magnetic Field Convective Motion 
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Literature cited

  1. 1.
    A. Pellew and R. V. Southwell, “On Maintained Convective Motion in a Fluid Heated from Below,” Proc. Roy. Soc. A,176, No. 966 (1940).Google Scholar
  2. 2.
    B. R. Morton, “On the Equilibrium of a Stratified Layer of Fluid,” Quart. J. Mech. Appl. Math.,10, Pt. 4 (1957).Google Scholar
  3. 3.
    W. B. Thompson, “Thermal Convection in a Magnetic Field,” Phil. Mag.,42, No. 335 (1951).Google Scholar
  4. 4.
    S. Chandrasekhar, “On the Inhibition of Convection by a Magnetic Field,” Phil. Mag.,43, No. 340 (1952).Google Scholar

Copyright information

© Consultants Bureau, a division of Plenum Publishing Corporation 1973

Authors and Affiliations

  • O. A. Éismont
    • 1
  1. 1.Moscow

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