The onset of Darcy-Forchheimer convection in inclined porous layers heated from below

D A S Rees, A Postelnicu, L Storesletten

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12 Citations (Scopus)

Abstract

It is well known that the onset of convection in an inclined porous layer heated from below takes the form of longitudinal vortices when Darcy's law is valid. In this paper we consider briefly how the onset criterion alters when form drag, as modelled by the Forchheimer terms, is significant. In general, the critical Rayleigh number increases substantially as form drag effects strengthen, but the wavenumber rises by only a small amount. This numerical study is supplemented by a brief asymptotic analysis of the case when the Forchheimer terms dominate and it is shown that the critical Rayleigh number increases in direct proportion with the form drag parameter. © Springer 2006.
Original languageEnglish
Pages (from-to)15-23
Number of pages9
JournalTransport in Porous Media
Volume64
Issue number1
DOIs
Publication statusPublished - 2006

Keywords

  • Mathematical models
  • Heating
  • Heat convection
  • Asymptotic stability
  • Vortex flow
  • Porous materials
  • Drag

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