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Asymptotic solution of natural convection problem in a square cavity heated from below

M. Grundmann (Institut de Mécanique des Fluides, UMR CNRS/NP/UPS, 118 Route de Narbonne, 310 62 Toulouse, France)
A. Mojtabi (Institut de Mécanique des Fluids, UMR CNRS/NP/UPS, 118 Route de Narbonne, 310 62 Toulouse, France)
B. Van ’T Hof (Department of Mathematics, University of Groningen, 9700 AV Groningen, The Netherlands)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 May 1996

56

Abstract

Studies a two‐dimensional natural convection in a porous, square cavity using a regular asymptotic development in powers of the Rayleigh number. Carries the approximation through to the 34th order. Analyses convergence of the resulting series for the Nusselt number in both monocellular and multicellular cases, providing insight in the validity regions of the power series.

Keywords

Citation

Grundmann, M., Mojtabi, A. and Van ’T Hof, B. (1996), "Asymptotic solution of natural convection problem in a square cavity heated from below", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 6 No. 5, pp. 29-36. https://doi.org/10.1108/09615539610125944

Publisher

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MCB UP Ltd

Copyright © 1996, MCB UP Limited

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