Small nield number convection in a porous layer heated from below via a constant heat flux and subject to lack of local thermal equilibrium

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The lack of local thermal equilibrium leads to distinct basic temperature proflles for the fluid and solid phases when a constant heat flux instead of a constant temperature is imposed on the lower boundary. Despite these distinct basic temperature proflles, the equations governing their linear stability for small Nield numbers eventually degenerate to the same form as for the case of local thermal equilibrium subject to constant heat flux on the lower boundary. A complete linear stability analysis is performed presenting an accurate solution to the latter; the corresponding neutral curves; accurate eigenvalues; and, in particular, the distinct type of eigenfunctions producing the shape of the convection patterns.

Original languageEnglish (US)
Pages (from-to)249-258
Number of pages10
JournalJournal of Porous Media
Volume15
Issue number3
DOIs
StatePublished - 2012

Fingerprint

Local Equilibrium
Thermal Equilibrium
Heat Flux
Convection
Heat flux
heat flux
convection
Distinct
Linear stability analysis
Linear Stability Analysis
Linear Stability
Eigenvalues and eigenfunctions
Temperature
temperature
Eigenfunctions
solid phases
Governing equation
eigenvectors
eigenvalues
Eigenvalue

Keywords

  • Heat flux
  • Lack of local thermal equilibrium (LaLotheq)
  • Local thermal non-equilibrium
  • Natural convection
  • Porous media

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Modeling and Simulation
  • Biomedical Engineering

Cite this

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abstract = "The lack of local thermal equilibrium leads to distinct basic temperature proflles for the fluid and solid phases when a constant heat flux instead of a constant temperature is imposed on the lower boundary. Despite these distinct basic temperature proflles, the equations governing their linear stability for small Nield numbers eventually degenerate to the same form as for the case of local thermal equilibrium subject to constant heat flux on the lower boundary. A complete linear stability analysis is performed presenting an accurate solution to the latter; the corresponding neutral curves; accurate eigenvalues; and, in particular, the distinct type of eigenfunctions producing the shape of the convection patterns.",
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AB - The lack of local thermal equilibrium leads to distinct basic temperature proflles for the fluid and solid phases when a constant heat flux instead of a constant temperature is imposed on the lower boundary. Despite these distinct basic temperature proflles, the equations governing their linear stability for small Nield numbers eventually degenerate to the same form as for the case of local thermal equilibrium subject to constant heat flux on the lower boundary. A complete linear stability analysis is performed presenting an accurate solution to the latter; the corresponding neutral curves; accurate eigenvalues; and, in particular, the distinct type of eigenfunctions producing the shape of the convection patterns.

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