Influence of Darcy number on the onset of convection in a porous layer with a uniform heat source

Ali Nouri-Borujerdi, Amin R Noghrehabadi, D Andrew S Rees

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44 Citations (Scopus)

Abstract

This note considers the effect of different Darcy numbers on the onset of natural convection in a horizontal, fluid-saturated porous layer with uniform internal heating. It is assumed that the two bounding surfaces are maintained at constant but equal temperatures and that the fluid and porous matrix are in local thermal equilibrium. Linear stability theory is applied to the problem, and numerical solutions obtained using compact fourth order finite differences are presented for all Darcy numbers between Da = 0 (Darcian porous medium) and Da -> infinity (the clear fluid limit). The numerical work is supplemented by an asymptotic analysis for small values Da. © 2007 Elsevier Masson SAS. All rights reserved.
Original languageEnglish
Pages (from-to)1020-1025
Number of pages6
JournalInternational Journal of Thermal Sciences
Volume47
Issue number8
DOIs
Publication statusPublished - 2008

Keywords

  • Asymptotic analysis
  • Natural convection
  • Finite difference method
  • Linear stability analysis
  • Thermal effects

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