Non-Darcy and localized heating effects on Benard convection in porous enclosure

H. Saleh, Ishak Hashim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Bénard convection in a porous medium using the non-Darcy model with localized heating is studied numerically in the present paper. The Forchheimer-Brinkman-extended Darcy model is used in the mathematical formulation for the porous layer. The governing parameters considered are the heater size (0.2 ≤ H ≤ 1), the Rayleigh number (102 ≤ Ra ≤ 105), the porosity of the porous medium (0.4 ≤ ε ≤ 0.99), the Darcy number (10-5 ≤ Da ≤ 10-2), and the thermal conductivity ratio of solid matrix to fluid (1 ≤ ks/k f ≤ 10). The Prandtl number is fixed at Pr = 1. It is found that an extremum heat transfer rate occurs about H = 0.8 for any value of the porosity and any porous material considered.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalJournal of Porous Media
Volume16
Issue number1
DOIs
Publication statusPublished - 2013

Fingerprint

Enclosure
enclosure
Enclosures
Porosity
Porous Media
Convection
Porous materials
Heating
convection
porosity
heating
Porous Materials
Rayleigh number
Prandtl number
range (extremes)
porous materials
Extremum
Thermal Conductivity
heaters
Heat Transfer

Keywords

  • Forchheimer-Brinkman model
  • Localized heating
  • Natural convection

ASJC Scopus subject areas

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

Cite this

Non-Darcy and localized heating effects on Benard convection in porous enclosure. / Saleh, H.; Hashim, Ishak.

In: Journal of Porous Media, Vol. 16, No. 1, 2013, p. 1-10.

Research output: Contribution to journalArticle

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