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Validation of the local thermal equilibrium assumption in natural convection from a vertical plate embedded in a porous medium: non-Darcian model.

Author(s) : HADDAD O. M., NIMR M. A. al-, KHATEEB A. N. al-

Type of article: Article

Summary

The validity of the local thermal equilibrium assumption in natural convection over a vertical flat plate embedded in a porous medium was investigated analytically. The study was based on the two-phase (Schumann) model, using the Brinkman term (no-slip condition) to cover the flow. It was found that there are four dimensionless parameters controlling the local thermal equilibrium assumption: the volumetric Biot number, the modified Rayleigh number, the modified Darcy number and the ratio of effective to dynamic viscosity. The effects of these parameters were investigated and a correlation equation was developed in order to determine the region where the local thermal equilibrium assumption is valid.

Details

  • Original title: Validation of the local thermal equilibrium assumption in natural convection from a vertical plate embedded in a porous medium: non-Darcian model.
  • Record ID : 2004-2145
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 47 - n. 8-9
  • Publication date: 2004/04

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