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Spatially modulated thermal convection

Marianne Obé (Département Mécanique, Le Madrillet, Institut National des Sciences Appliquées, Saint Etienne du Rouvray, France)
Roger E. Khayat (Department of Mechanical and Materials Engineering, University of Western Ontario, London, Canada)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 12 January 2010

227

Abstract

Purpose

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The purpose of this paper is to investigate the thermal convection inside a spatially modulated domain.

Design/methodology/approach

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The governing equations are mapped onto an infinite strip, allowing Fourier expansion of the flow and temperature in the streamwise direction.

Findings

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Similar to Rayleigh‐Benard convection, conduction is lost to convection at a critical Rayleigh number, which depends strongly on both the modulation amplitude and the wavenumber. The effect of modulation is found to be destabilizing (stabilizing) for conduction for relatively large (small) modulation wavelength. Oscillatory convection sets in as the Rayleigh number is increased.

Originality/value

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This paper presents novel results.

Keywords

Citation

Obé, M. and Khayat, R.E. (2010), "Spatially modulated thermal convection", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 20 No. 1, pp. 17-36. https://doi.org/10.1108/09615531011008109

Publisher

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Emerald Group Publishing Limited

Copyright © 2010, Emerald Group Publishing Limited

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