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TECHNICAL PAPERS: Natural and Mixed Convection

Effect of Double Dispersion on Mixed Convection Heat and Mass Transfer in Non-Darcy Porous Medium

[+] Author and Article Information
P. V. S. N. Murthy

Department of Mathematics, I.I.T.–Madras, Madras 600 036, India

J. Heat Transfer 122(3), 476-484 (Jan 18, 2000) (9 pages) doi:10.1115/1.1286995 History: Received April 20, 1999; Revised January 18, 2000
Copyright © 2000 by ASME
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References

Bejan,  A., and Khair,  K. R., 1985, “Heat and Mass Transfer by Natural Convection in a Porous Medium,” Int. J. Heat Mass Transf., 28, pp. 909–918.
Lai,  F. C., and Kulacki,  F. A., 1991a, “Coupled Heat and Mass Transfer by Natural Convection From Vertical Surfaces in Porous Media,” Int. J. Heat Mass Transf., 34, pp. 1189–1194.
Murthy, P. V. S. N., and Singh, P., 1998, “Heat and Mass Transfer by Natural Convection in a Non-Darcy Porous Medium,” Acta Mech., accepted for publication.
Lai,  F. C., 1991, “Coupled Heat and Mass Transfer by Mixed Convection From a Vertical Plate in a Saturated Porous Medium,” Int. Commun. Heat Mass Transfer, 18, pp. 93–106.
Angirasa,  D., Peterson,  G. P., and Pop,  I., 1997, “Combined Heat and Mass Transfer by Natural Convection With Opposing Buoyancy Effects in a Fluid Saturated Porous Medium,” Int. J. Heat Mass Transf., 40, pp. 2755–2773.
Vafai,  K., and Tien,  C. L., 1981, “Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media,” Int. J. Heat Mass Transf., 24, pp. 195–203.
Vafai,  K., and Tien,  C. L., 1982, “Boundary and Inertia Effects on Convective Mass Transfer in Porous Media,” Int. J. Heat Mass Transf., 25, pp. 1183–1190.
Whitaker,  S., 1997, “The Forchheimer Equation: A Theoretical Development,” Transp. Porous Media, 25, pp. 27–61.
Bear, J., 1972, Dynamics of Fluids in Porous Media, Elsevier, New York.
Kvernvold,  O., and Tyvand,  P., 1980, “Dispersion Effect on Thermal Convection in Porous Media,” J. Fluid Mech., 99, pp. 673–686.
Plumb, O. A., 1981, “The Effect of Thermal Dispersion on Heat Transfer in Packed Bed Boundary Layers,” ASME-JSME Joint Thermal Conference Proceedings, Vol. 2, ASME, New York, pp. 17–21.
Hong,  J. T., and Tien,  C. L., 1987, “Analysis of Thermal Dispersion Effect on Vertical Plate Natural Convection in Porous Media,” Int. J. Heat Mass Transf., 30, pp. 143–150.
Hong,  J. T., Yamada,  Y., and Tien,  C. L., 1987, “Effect of Non-Darcian and Non-Uniform Porosity on Vertical Plate Natural Convection in Porous Media,” ASME J. Heat Transfer, 109, pp. 356–362.
Cheng,  P., and Vortmeyer,  D., 1988, “Transverse Thermal Dispersion and Wall Channeling in a Packed Bed With Forced Convection Flow,” Chem. Eng. Sci., 43, pp. 2523–2532.
Lai,  F. C., and Kulacki,  F. A., 1991b, “Non-Darcy Mixed Convection Along a Vertical Wall in Saturated Porous Medium,” ASME J. Heat Transfer, 113, pp. 252–255.
Amiri,  A., and Vafai,  K., 1994, “Analysis of Dispersion Effects and Non-Theormal Equilibrium, Non-Darcian, Variable Porosity Incompressible Flow Through Porous Media,” Int. J. Heat Mass Transf., 37, pp. 936–954.
Gorla,  R. S. R., Bakier,  A. Y., and Byrd,  L., 1996, “Effects of Thermal Dispersion and Stratification on Combined Convection on a Vertical Surface Embedded in a Porous Medium,” Transp. Porous Media, 25, pp. 275–282.
Murthy,  P. V. S. N., and Singh,  P., 1997, “Effect of Viscous Dissipation on a Non-Darcy Natural Convection Regime,” Int. J. Heat Mass Transf., 40, pp. 1251–1260.
Murthy,  P. V. S. N., and Singh,  P., 1997, “Thermal Dispersion Effects on Non-Darcy Natural Convection Over Horizontal Plate With Surface Mass Flux,” Arch. Appl. Mech., 67, pp. 487–495.
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Dagan, G., 1972, “Some Aspects of Heat and Mass Transport in Porous Media,” Developments in Soil Science: Fundamentals of Transport Phenomena in Porous Media, International Association for Hydraulic Research, Elsevier, London, pp. 55–63.
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Figures

Grahic Jump Location
Coupled heat and mass transfer by mixed convection from a vertical plate in a saturated porous medium (reproduced from Lai 4)
Grahic Jump Location
Nondimensional velocity profiles f(η) for −1<N<0,Le=0.1 (aiding flow)
Grahic Jump Location
Nondimensional velocity profiles f(η) for 0<Le<1,N=−0.5 (aiding flow)
Grahic Jump Location
Heat transfer coefficient as a function of Lewis number when N<0. Here N=−0.5,Peγ=0=Peζ (aiding flow).
Grahic Jump Location
Heat transfer coefficient as a function of Lewis number when N>0. Here, N=4.0,Peγ=0=Peζ (aiding flow).
Grahic Jump Location
Mass transfer coefficient as a function of Lewis number when N<0. Here N=−0.5,Peγ=0=Peζ (aiding flow).
Grahic Jump Location
Mass transfer coefficient as a function of Lewis number when N>0. Here, N=4.0,Peγ=0=Peζ (aiding flow).
Grahic Jump Location
Heat transfer coefficient as a function of Ra/Pe when FoPe=1.0,Le=1.0,Peζ=0 (aiding flow)
Grahic Jump Location
Heat transfer coefficient as a function of Ra/Pe when FoPe=1.0,Le=10.0,Peζ=0 (aiding flow)
Grahic Jump Location
Mass transfer coefficient as a function of Ra/Pe when FoPe=1.0,Le=1.0,Peγ=0 (aiding flow)
Grahic Jump Location
Mass transfer coefficient as a function of Ra/Pe when FoPe=1.0,Le=10.0,Peγ=0 (aiding flow)
Grahic Jump Location
Heat transfer coefficient as a function of Le for various values of N when Peγ=0=Peζ,Ra/Pe=1.0,FoPe=1.0 (opposing flow)
Grahic Jump Location
Mass transfer coefficient as a function of Le for various values of N when Peγ=0=Peζ,Ra/Pe=1.0,FoPe=1.0 (opposing flow)
Grahic Jump Location
Heat transfer coefficient as a function of Ra/Pe in the presence of thermal dispersion effects in non-Darcy flow. Here FoPe=1.0,Le=1.0,Peζ=0 (opposing flow).
Grahic Jump Location
Heat transfer coefficient as a function of Ra/Pe in the presence of thermal dispersion effects in non-Darcy flow. Here FoPe=1.0,Le=10.0,Peζ=0 (opposing flow).
Grahic Jump Location
Mass transfer coefficient as a function of Ra/Pe in the presence of solutal dispersion effects in non-Darcy flow. Here FoPe=1.0,Le=1.0,Peγ=0 (opposing flow).
Grahic Jump Location
Mass transfer coefficient as a function of Ra/Pe in the presence of solutal dispersion effects in non-Darcy flow. Here FoPe=1.0,Le=10.0,Peγ=0 (opposing flow).

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