Conjugate Natural Convection in a Porous Enclosure Sandwiched by Finite Walls Under the Influence of Non-uniform Heat Generation and Radiation

A. Alhashash, H. Saleh, Ishak Hashim

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Conjugate natural convection in a square porous enclosure sandwiched by finite walls under the influence of non-uniform heat generation and radiation is studied numerically in the present article. The horizontal heating is considered, where the vertical walls heated isothermally at different temperatures, while the horizontal walls are kept adiabatic. The Darcy model is used in the mathematical formulation for the porous layer and finite difference method is applied to solve the dimensionless governing equations. The governing parameters considered are the ratio of wall thickness to its width (0.02 ≤ D ≤ 0.3), the wall to porous thermal conductivity ratio (0.1 ≤ kr ≤ 10.0), the internal heating 0 ≤ γ ≤ 5), and the local heating exponent parameters (1 ≤ λ ≤ 20). It is found that the average Nusselt number on the hot and cold interfaces increases with increasing the radiation intensity. Very high non-uniformity heating does not affect the average Nusselt number at very thick walls.

Original languageEnglish
Pages (from-to)453-465
Number of pages13
JournalTransport in Porous Media
Volume99
Issue number3
DOIs
Publication statusPublished - Sep 2013

Fingerprint

Heat generation
Heat radiation
Enclosures
Natural convection
Heating
Nusselt number
Finite difference method
Thermal conductivity
Radiation
Temperature

Keywords

  • Conjugate heat transfer
  • Darcy's law
  • Natural convection
  • Thermal radiation

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Conjugate Natural Convection in a Porous Enclosure Sandwiched by Finite Walls Under the Influence of Non-uniform Heat Generation and Radiation. / Alhashash, A.; Saleh, H.; Hashim, Ishak.

In: Transport in Porous Media, Vol. 99, No. 3, 09.2013, p. 453-465.

Research output: Contribution to journalArticle

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