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Natural Convection in Heat Generating Oval Porous Enclosures: A Non‐Darcian Model
Author(s) -
Das Subrat,
Sahoo Ranjit Kumar,
Morsi Yos S.
Publication year - 2003
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450810216
Subject(s) - natural convection , enclosure , rayleigh number , mechanics , heat transfer , darcy number , porous medium , darcy's law , convection , materials science , thermodynamics , porosity , physics , engineering , composite material , telecommunications
This paper presents a series of numerical simulations dealing with the problem of natural convection flows and associated heat transfer in an enclosure filled with a fluid‐saturated porous medium. The analysis is based on the finite element technique and incorporates the Brinkman‐extended Darcy model for an oval enclosure. The numerical results obtained for a modified Rayleigh number, Ra , Darcy number, Da , offset, E , and eccentricity, e , are presented and discussed. The numerical predictions for a square enclosure compared well with published data. It is found that any increase in Da or Ra results in a higher fluid velocity that is responsible for shifting the core of the flow. Moreover, at higher ovality ( E = 0.5), asymmetric flow is observed even at the lower range of Rayleigh number ( Ra ⩽ 20), which may be attributed to the effect of curved isothermal wall.