The effect of conducting sidewalls on the onset of convection in a porous cavity

Syakila Ahmad, D. Andrew S Rees

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2 Citations (Scopus)
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Abstract

In this short paper we consider the effect of the presence of conducting sidewalls of finite thickness on the onset of convection in a two-dimensional porous cavity. Two cases are considered where the outer boundaries of the sidewalls are either perfectly insulating or perfectly conducting. A unified theory is presented which combines both these cases, and the stability properties of the overall system is found to undergo a full transition from that of the classical Darcy–Bénard problem to that of the degenerate system studied in detail by Rees and Tyvand (J Eng Math 49:181–193, 2004).

Original languageEnglish
Pages (from-to)287-304
JournalTransport in Porous Media
Volume111
Issue number2
Early online date30 Oct 2015
DOIs
Publication statusPublished - Feb 2016

Keywords

  • Convection
  • Darcy–Bénard
  • Instability
  • Porous media

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