Natural convection in a partially open-ended porous squarecavity

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Natural convective heat transfer in an open-ended porous square cavity is studied numerically in the present article. The left surface has a constant temperature and the right surface is a partial opening to the ambient, permitting air to flow inside the cavity by virtue of buoyancy, while the outer surfaces are all insulated. The Forchheimer-Brinkman-extended Darcy model is used in the mathematical formulation for the porous layer, and the COMSOL Multiphysics software 4.1 is applied to solve the dimensionless governing equations. P2-P1 lagrange elements and Galerkin least-square are used to assure the stability. The governing parameters considered are the aperture size, 0.3 ≤ H ≤ 1, the thermal conductivity ratio of solid matrix to fluid (1 ≤ ks/kf ≤ 20), the porosity of porous medium, 0.4 ≤ ε' ≤ 0.99, and the Rayleigh number, 103 ≤ Ra ≤ 10 6. The results are presented to show the effect of these parameters on the fluid flow and heat transfer characteristics. It is found that the strength of the flow circulation and heat transfer rate are much higher for a larger opening. It is also found that the heat transfer enhancement by increasing the opening can be scaled directly from the porosity value.

Original languageEnglish
Pages (from-to)563-572
Number of pages10
JournalJournal of Porous Media
Volume17
Issue number7
Publication statusPublished - 2014

Fingerprint

Natural Convection
Natural convection
free convection
heat transfer
Heat transfer
Porosity
Heat Transfer
Cavity
Heat Transfer Enhancement
porosity
Convective Heat Transfer
cavities
Multiphysics
convective heat transfer
Rayleigh number
Buoyancy
Thermal Conductivity
buoyancy
Dimensionless
Lagrange

Keywords

  • Forchheimer-Brinkman model
  • Natural convection
  • Open cavity

ASJC Scopus subject areas

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

Cite this

Natural convection in a partially open-ended porous squarecavity. / Saleh, H.; Fudholi, Ahmad; Hashim, Ishak.

In: Journal of Porous Media, Vol. 17, No. 7, 2014, p. 563-572.

Research output: Contribution to journalArticle

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AB - Natural convective heat transfer in an open-ended porous square cavity is studied numerically in the present article. The left surface has a constant temperature and the right surface is a partial opening to the ambient, permitting air to flow inside the cavity by virtue of buoyancy, while the outer surfaces are all insulated. The Forchheimer-Brinkman-extended Darcy model is used in the mathematical formulation for the porous layer, and the COMSOL Multiphysics software 4.1 is applied to solve the dimensionless governing equations. P2-P1 lagrange elements and Galerkin least-square are used to assure the stability. The governing parameters considered are the aperture size, 0.3 ≤ H ≤ 1, the thermal conductivity ratio of solid matrix to fluid (1 ≤ ks/kf ≤ 20), the porosity of porous medium, 0.4 ≤ ε' ≤ 0.99, and the Rayleigh number, 103 ≤ Ra ≤ 10 6. The results are presented to show the effect of these parameters on the fluid flow and heat transfer characteristics. It is found that the strength of the flow circulation and heat transfer rate are much higher for a larger opening. It is also found that the heat transfer enhancement by increasing the opening can be scaled directly from the porosity value.

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