TY - JOUR
T1 - Natural convection in porous media with anisotropic dispersive thermal conductivity
AU - Georgiadis, J. G.
N1 - Funding Information:
A~Xf/olck~dq~rf~~~/,s-a-rWc eg rateful for the tinancial support of the National Science Foundation under grants CTS-8909119 and CTS-9006189 and the U.S. Department of Energy (Olhcc of Basic Energy Sciences) under grant DE-FG05-90ERl4141. We would also like to thank Professor Robert Behringer of Duke University and Professor David Poirier of University of Arizona for their helpful suggestions.
PY - 1988
Y1 - 1988
N2 - In the case of flow through fully-saturated coarse porous media, the classical Darcy model is extended by the Forchheimer (inertial) term and the effective thermal conductivity of the medium has a stagnant and a dispersive (hydrodynamic) contribution, the latter depending linearly on the local filtration velocity. Measurements of the effective conductivity in fully-saturated packed beds have shown that the transverse component of effective conductivity is always smaller than the longitudinal component. A numerical investigation of two-dimensional steady natural convection in differentially heated rectangular enclosures filled with porous media is undertaken. It is shown that the heat transfer can be enhanced when the dispersive terms are included in the formulation. If the porous medium Prandtl number is of order 10-1 or larger, the effect of dispersion on the net heat transfer through the cavity is weaker in the case of the anisotropic model than the isotropic model.
AB - In the case of flow through fully-saturated coarse porous media, the classical Darcy model is extended by the Forchheimer (inertial) term and the effective thermal conductivity of the medium has a stagnant and a dispersive (hydrodynamic) contribution, the latter depending linearly on the local filtration velocity. Measurements of the effective conductivity in fully-saturated packed beds have shown that the transverse component of effective conductivity is always smaller than the longitudinal component. A numerical investigation of two-dimensional steady natural convection in differentially heated rectangular enclosures filled with porous media is undertaken. It is shown that the heat transfer can be enhanced when the dispersive terms are included in the formulation. If the porous medium Prandtl number is of order 10-1 or larger, the effect of dispersion on the net heat transfer through the cavity is weaker in the case of the anisotropic model than the isotropic model.
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M3 - Conference article
AN - SCOPUS:0024171570
SN - 0272-5673
VL - 99
SP - 77
EP - 83
JO - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
JF - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
T2 - Natural Convection in Enclosures - 1988
Y2 - 27 November 1988 through 2 December 1988
ER -