Asymptotic theory of wall-attached convection in a horizontal fluid layer with a vertical magnetic field

F.H. Busse

doi:10.1063/1.2837175

Asymptotic theory of wall-attached convection in a horizontal fluid layer with a vertical magnetic field

F.H. Busse

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

Abstract

A horizontal fluid layer heated from below in the presence of a vertical magnetic field is considered. A simple asymptotic analysis is presented which demonstrates that a convection mode attached to the side walls of the layer sets in at Rayleigh numbers much below those required for the onset of convection in the bulk of the layer. The analysis complements an earlier analysis by Houchens [J. Fluid Mech. 469, 189 (2002)] which derived expressions for the critical Rayleigh number for the onset of convection in a vertical cylinder with an axial magnetic field in the cases of two aspect ratios.

Original language	English
Article number	024102
Number of pages	4
Journal	Physics of Fluids
Volume	20
Issue number	2
DOIs	https://doi.org/10.1063/1.2837175
Publication status	Published - Feb 2008

Bibliographical note

Copyright © 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids 20, 024102 (2008) and may be found at https://doi.org/10.1063/1.2837175

Keywords

convection
magnetohydrodynamics

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10.1063/1.2837175

Asymptotic theory of wall-attached convection in a horizontal fluid layer with a vertical magnetic field
Copyright © 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids 20, 024102 (2008) and may be found at https://doi.org/10.1063/1.2837175
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Cite this

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abstract = "A horizontal fluid layer heated from below in the presence of a vertical magnetic field is considered. A simple asymptotic analysis is presented which demonstrates that a convection mode attached to the side walls of the layer sets in at Rayleigh numbers much below those required for the onset of convection in the bulk of the layer. The analysis complements an earlier analysis by Houchens [J. Fluid Mech. 469, 189 (2002)] which derived expressions for the critical Rayleigh number for the onset of convection in a vertical cylinder with an axial magnetic field in the cases of two aspect ratios.",

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Asymptotic theory of wall-attached convection in a horizontal fluid layer with a vertical magnetic field

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