The influence of a uniform magnetic field on thermal convection in an enclosed fluid core

A. Kovetz

doi:10.1016/0031-9201(69)90004-1

The influence of a uniform magnetic field on thermal convection in an enclosed fluid core

A. Kovetz^*

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The equations governing stationary convection in an enclosed core in the presence of a uniform magnetic field lead to an eigenvalue problem for the rate of heat generation in the core. The critical character of the first eigenvalue is brought out by proving that it distinguishes between stable and unstable ordinary convection. Rayleigh numbers for various intensities of the uniform magnetic field are obtained by Ritz's method.

Original language	English
Pages (from-to)	88-92
Number of pages	5
Journal	Physics of the Earth and Planetary Interiors
Volume	2
Issue number	2
DOIs	https://doi.org/10.1016/0031-9201(69)90004-1
State	Published - Oct 1969

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10.1016/0031-9201(69)90004-1

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abstract = "The equations governing stationary convection in an enclosed core in the presence of a uniform magnetic field lead to an eigenvalue problem for the rate of heat generation in the core. The critical character of the first eigenvalue is brought out by proving that it distinguishes between stable and unstable ordinary convection. Rayleigh numbers for various intensities of the uniform magnetic field are obtained by Ritz's method.",

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AB - The equations governing stationary convection in an enclosed core in the presence of a uniform magnetic field lead to an eigenvalue problem for the rate of heat generation in the core. The critical character of the first eigenvalue is brought out by proving that it distinguishes between stable and unstable ordinary convection. Rayleigh numbers for various intensities of the uniform magnetic field are obtained by Ritz's method.

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The influence of a uniform magnetic field on thermal convection in an enclosed fluid core

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