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TECHNICAL PAPERS: Forced Convection

New Theory for Forced Convection Through Porous Media by Fluids With Temperature-Dependent Viscosity

[+] Author and Article Information
Arunn Narasimhan, José L. Lage

Laboratory for Porous Materials Applications, Mechanical Engineering Department, Southern Methodist University, Dallas, TX 75275-0337, USA

Donald A. Nield

Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand

J. Heat Transfer 123(6), 1045-1051 (May 20, 2001) (7 pages) doi:10.1115/1.1409268 History: Received September 29, 2000; Revised May 20, 2001
Copyright © 2001 by ASME
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References

Kaviany, M., 1991, Principles of Heat Transfer in Porous Media, Springer-Verlag, NY.
Nield, D. A., and Bejan, A., 1999, Convection in Porous Media, 2nd ed., Springer-Verlag, NY.
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Lauriat, G., and Ghafir, R., 2000, “Forced Convective Heat Transfer in Porous Medium,” Handbook of Porous Media, K. Vafai, ed., Marcel-Dekker, NY, pp. 201–268.
Lage, J. L., and Narasimhan, A., 2000, “Porous Media Enhanced Forced Convection: Fundamentals and Applications,” Handbook of Porous Media, K. Vafai, ed., Marcel-Dekker, NY, pp. 357–394.
Xie,  C., and Hartnett,  J. P., 1992, “Influence of Variable Viscosity of Mineral Oil on Laminar Heat Transfer in a 2:1 Rectangular Duct,” Int. J. Heat Mass Transf., 35, pp. 641–648.
Shin,  S., Cho,  Y. I., Gringrich,  W. K., and Shyy,  W., 1993, “Numerical Study of Laminar Heat Transfer With Temperature Dependent Fluid Viscosity in a 2:1 Rectangular Duct,” Int. J. Heat Mass Transf., 36, pp. 4365–4373.
Lage,  J. L., Weinert,  A. K., Price,  D. C., and Weber,  R. M., 1996, “Numerical Study of a Low Permeability Microporous Heat Sink for Cooling Phased-Array Radar Systems,” Int. J. Heat Mass Transf., 39, pp. 3633–3647.
Antohe,  B. V., Lage,  J. L., Price,  D. C., and Weber,  R. M., 1997, “Experimental Determination of Permeability and Inertia Coefficients of Mechanically Compressed Aluminum Porous Matrices,” ASME J. Fluids Eng., 119, pp. 404–412.
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Narasimhan,  A., and Lage,  J. L., 2001, “Modified Hazen-Dupuit-Darcy Model for Forced Convection of a Fluid With Temperature-Dependent Viscosity,” ASME J. Heat Transfer, 123, pp. 31–38.
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Figures

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Comparison of NuL, Eq. (38), obtained from theoretical results with numerical results
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Schematic of the flow channel considered for investigation
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Theoretical and numerical pressure-drop versus fluid-speed results for q=0.01 MW/m2
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Theoretical and numerical pressure-drop versus fluid-speed results for q=0.10 MW/m2
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Verification of the two criteria for accurate zero-order (top) and first-order (bottom) approximation results, Eq. (30)
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Velocity profiles u(y) from second-order HDD theory (left side profiles) and linear theory (right side profiles) for several heat fluxes
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Summary of longitudinal pressure-drop obtained by second-order HDD theory, Eq. (23), with numerical results for several heat fluxes
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Comparison of temperature profiles from second-order HDD theory, Eq. (24), with those of uniform viscosity case, for several heat fluxes
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Temperature profiles from second-order HDD theory and linear theory for Umax=9.84×10−2m/s, and q=0.01 MW/m2
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Comparison of Nusselt numbers obtained by the two theories as a function of λ, for several heat fluxes, q(MW/m2)

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