Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling

SC Hirata, B Goyeau, D Gobin, Magda Carr, RM Cotta

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61 Citations (Scopus)

Abstract

This study deals with the onset of thermal natural convection in a system consisting of a fluid layer overlying a homogeneous porous medium. A linear stability analysis is carried out, using the so-called two-domain approach and including the Brinkman term in the porous region (2 Omega(DB)). Results are systematically compared to those obtained using the one-domain approach (1 Omega) and the classical Darcy formulation of the two-domain approach (2 Omega(D)). A better agreement is found between the 2 Omega(DB) and 2 Omega(D) neutral curves, than with the 1 Omega curves, indicating that the inclusion of the Brinkman term plays a secondary role on the stability results. The different treatment of the interfacial region is discussed on the basis of these results. (c) 2006 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)1356-1367
Number of pages12
JournalInternational Journal of Heat and Mass Transfer
Volume50
Issue number7-8
DOIs
Publication statusPublished - Apr 2007

Keywords

  • PENETRATIVE CONVECTION
  • BOUNDARY-CONDITIONS
  • HOMOGENEOUS FLUID
  • MOMENTUM-TRANSFER
  • BINARY ALLOY
  • SOLIDIFICATION
  • EQUATION
  • ONSET
  • FLOW

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