Onset of convection in a horizontal porous channel with uniform heat generation using a thermal nonequilibrium model

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

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)

Abstract

This paper considers the onset of free convection in a horizontal fluid-saturated porous layer with uniform heat generation. Attention is focused on cases where the fluid and solid phases are not in local thermal equilibrium, and where two energy equations describe the evolution of the temperature of each phase. Standard linearized stability theory is used to determine how the criterion for the onset of convection varies with the inter-phase heat transfer coefficient, H, and the porosity-modified thermal conductivity ratio, γ. We also present asymptotic solutions for small values of H. Excellent agreement is obtained between the asymptotic and the numerical results. © Springer Science+Business Media, Inc. 2006.
Original languageEnglish
Pages (from-to)343-357
Number of pages15
JournalTransport in Porous Media
Volume69
Issue number3
DOIs
Publication statusPublished - 2007

Keywords

  • Asymptotic analysis
  • Mathematical models
  • Thermal conductivity
  • Natural convection
  • Porosity
  • Heat transfer coefficients
  • Porous materials
  • Linear stability analysis

Fingerprint Dive into the research topics of 'Onset of convection in a horizontal porous channel with uniform heat generation using a thermal nonequilibrium model'. Together they form a unique fingerprint.

Cite this