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TECHNICAL PAPERS

The Green Function and Its Application to Heat Transfer in a Low Permeability Porous Channel

[+] Author and Article Information
C. Cui, X. Y. Huang, C. Y. Liu

School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798

J. Electron. Packag 122(3), 274-278 (Jul 11, 1999) (5 pages) doi:10.1115/1.1287929 History: Received July 11, 1999
Copyright © 2000 by ASME
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References

Lage, J. L., Weinert, A. K., Price, D. C., and Weber, R. M., 1995, “Numerical simulations of low permeability microporous heat sink for high-heat-flux electronics,” Cooling and Thermal Design of Electronic Systems, ASME, HTD-Vol. 319/EEP-Vol. 15, pp. 85–92.
Nield, D. A., and Bejan, A., 1992, Convection in Porous Media, Chap 4, Springer-Verlag, New York.
Kaviany,  M., 1985, “Laminar flow through a porous channel bounded by isothermal parallel plates,” Int. J. Heat Mass Transf., 28, No. 4, pp. 851–858.
Vafai,  K., and Kim,  S. J., 1989, “Forced convection in a channel filled with a porous medium: an exact solution,” ASME J. Heat Transfer, 111, pp. 1103–1106.
Hadim,  A., 1994, “Forced convection in a porous channel with localized heat sources,” ASME J. Fluids Eng., 116, pp. 465–472.
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, No. 17, pp. 3633–3647.
Antohe,  B. V., Lage,  J. L., Price,  D. C., and Weber,  R. M., 1996, “Numerical characterization of micro heat exhangers using experimentally tested porous aluminum layers,” Int. J. Heat Fluid Flow, 17, pp. 594–603.
Kuwahara,  F., Nakayama,  A., and Koyama,  H., 1996, “A numerical study of thermal dispersion in porous media,” ASME J. Heat Transfer, 118, pp. 756–761.
Cui, C., 1997, “Use of microporous heat sink for high-heat flux electronics,” Master dissertation, Nanyang Technological University, Singapore.

Figures

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Schematic of the physical model and coordinates system for a point heat source
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Typical temperature distribution in X-Z plane (Y=1.0) for a point heat source
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Physical model of four strip sources mounted in series on the bottom wall of the porous channel
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Comparison of the bottom wall temperature variation with Hadim’s result for Re=250
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Comparison of the local Nusselt number variation with Hadim’s result for Re=250
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Comparison of the Nusselt number averaged over each heat source for different Reynolds numbers and Darcy numbers

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