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TECHNICAL NOTES

Nonequilibrium Natural Convection in a Differentially Heated Cavity Filled With a Saturated Porous Matrix

[+] Author and Article Information
A. A. Mohamad

Department of Mechanical Engineering, University of Calgary, Calgary AB T2N 1N4, Canada

J. Heat Transfer 122(2), 380-384 (Jan 11, 2000) (5 pages) doi:10.1115/1.521476 History: Received March 14, 1999; Revised January 11, 2000
Copyright © 2000 by ASME
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References

Nield, D. A., and Bejan, A, 1992, Convection in Porous Media, Springer-Verlag, New York.
Mohamad,  A. A., Ramadhyani,  S., and Viskanta,  R., 1994, “Modelling of Combustion and Heat Transfer in a Packed Bed With Embedded Coolant Tubes,” Int. J. Heat Mass Transf., 37, pp. 1181–1197.
Kaviany, S., 1995, Principles of Heat Transfer in Porous Media, 2nd Ed., Springer-Verlag, New York.
Younis,  L. B., and Viskanta,  R., 1993, “Experimental Determination of the Volumetric Heat Transfer Coefficient Between Stream of Air and Ceramic Foam,” Int. J. Heat Mass Transf., 36, No. 6, pp. 1425–1434.
Galitseisky, B. M., and Loshkin, A. L., 1997, “Unsteady Method of Experimental Investigation of Heat Transfer in Porous Material,” Int. Symp. On Transient Convective Heat Transfer, J. Padet, and F. Arinc, eds., Begell House, New York, pp. 201–214.
Vortmeyer,  D., and Schaefer,  B. J., 1974, “Equivalence of One- and Two-Phase Models for Heat Transfer Processes in Packed Beds, One Dimensional Theory,” Chem. Eng. Sci., 29, pp. 485–491.
Zanotti,  F., and Carbonell,  R. G., 1984, “Development of Transport Equations for Multiphase System—I, General Development for Two-Phase Systems,” Chem. Eng. Sci., 39, pp. 263–278.
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Churchill, S. W., 1983, “Free Convection Around Immersed Bodies,” Heat Exchanger Design Handbook, E. U. Schlunder, ed., Hemisphere, New York.
Hong,  J. T., Yamada,  Y., and Tien,  C. L., 1987, “Effect of Non-Darcian and Nonuniform Porosity on a Vertical Plate Natural Convection in Porous Media,” J. Heat Transfer, 109, pp. 356–362.
David,  E., Lauriat,  G., and Cheng,  P., 1991, “A Numerical Solution of Variable Porosity Effects on Natural Convection in a Packed-Sphere Cavity,” J. Heat Transfer, 113, pp. 391–399.
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Nithiarasu,  P., Seetharamu,  K. N., and Sundararajan,  T., 1997, “Natural Convective Heat Transfer in a Fluid Saturated Variable Porosity Medium,” Int. J. Heat Mass Transf., 40, No. 16, pp. 3955–3967.

Figures

Grahic Jump Location
Effect of Kr on the maximum temperature difference between the solid and the fluid as function of height and in the left half of the cavity, for Ra=1×108,Da=1×10−5, and Nup=1000
Grahic Jump Location
(a) Effect of Kr on the temperature difference between solid and fluid phases at the first quarter of the enclosure for the same parameters as for Fig. 1. (b) Effect of Kr on the temperature difference between solid and fluid phases at the midheight of the enclosure for the same parameters as for Fig. 1.
Grahic Jump Location
Effect of Kr on the V-velocity profiles at the midheight of the enclosure
Grahic Jump Location
(a) Effect of Kr on the maximum (square symbol) and average (circle symbol) temperature difference between solid and fluid for Ra=1×108,Pr=1.0,Da=1×10−5 as a function of Nup. (b) Effect of Kr maximum (square symbol) and average (circle symbol) temperature difference between solid and fluid for Ra=1×106,Pr=1.0,Da=1×10−3 as a function of Nup.

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