Effects of flow inertia on vertical, natural convection in saturated, porous media

K. S. Chen, J. R. Ho

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33 Scopus citations

Abstract

An analytical study is made for the effect of flow inertia on vertical, natural convection in saturated, porous media. Within the framework of boundary-layer approximations, Forchheimer's model was transformed into a set of non-similar equations. Effects of flow inertia are measured and examined in terms of the dimensionless inertia parameter ξ = GrxFox where Grx is the local Grashof number of determined by the bulk properties of saturated porous media, and Fox is a new dimensionless parameter governed by the microstructure of porous matrix. The non-similar solutions are presented and discussed for two types of flow: (1) the uniform heat flux surface; and (2) plane plume flows. Results show that thermal boundary layer in the non-Darcy regime is thicker than the corresponding pure-Darcy flow. In addition, the local wall heat fluxes for the first case and the maximum temperature gradient for the second case decrease with increasing ξ.

Original languageEnglish
Pages (from-to)753-759
Number of pages7
JournalInternational Journal of Heat and Mass Transfer
Volume29
Issue number5
DOIs
StatePublished - May 1986

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