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TECHNICAL NOTES

Predicting Inlet Temperature Effects on the Pressure-Drop of Heated Porous Medium Channel Flows Using the M-HDD Model

[+] Author and Article Information
Arunn Narasimhan

Staff Research Engineer, Microlithography Division, FSI International, Allen, TX 75013

José L. Lage

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

J. Heat Transfer 126(2), 301-303 (May 04, 2004) (3 pages) doi:10.1115/1.1667526 History: Received January 31, 2003; Revised September 29, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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References

Ling,  J. X., and Dybbs,  A., 1992, “The Effect of Variable Viscosity on Forced Convection Over a Flat Plate Submersed in a Porous Medium,” ASME J. Heat Transfer, 114, pp. 1063–1065.
Postelnicu,  A., Grosan,  T., and Pop,  I., 2001, “The Effect of Variable Viscosity on Forced Convection Flow Past a Horizontal Flat Plate in a Porous Medium With Internal Heat Generation,” Mechanics Research Communications,28, pp. 331–337.
Kumari,  M., 2001, “Effect of Variable Viscosity on Non-Darcy Free or Mixed Convection Flow on a Horizontal Surface in Saturated Porous Medium,” Int. J. Heat Mass Transfer, 28(5), pp. 723–732.
Kumari,  M., 2001, “Variable Viscosity Effects on Free and Mixed Convection Boundary-Layer Flow From a Horizontal Surface in a Saturated Porous Medium—Variable Heat Flux,” Mechanics Research Communications,28(3), pp. 339–348.
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.
Narasimhan,  A., Lage,  J. L., Nield,  D. A., and Porneala,  D. C., 2001, “Experimental Verification of Two New Theories for Predicting the Temperature-Dependent Viscosity Effects on the Forced Convection Through a Porous Media Channel,” ASME J. Fluids Eng., 123, pp. 948–951.
Narasimhan, A., 2002, “Unraveling, Modeling and Validating the Temperature Dependent Viscosity Effects in Flow Through Porous Media,” Ph.D. dissertation, Southern Methodist University, Dallas, TX.
Porneala, D. C., 1998, “Experimental Tests of Microporous Enhanced Cold Plates for Cooling High Frequency Microwave Antennas,” Ph.D. dissertation, Southern Methodist University, Dallas, TX.
Narasimhan,  A., and Lage,  J. L., 2001, “Forced Convection of a Fluid With Temperature-Dependent Viscosity Through a Porous Medium Channel,” Numer. Heat Transfer, 40(8), pp. 801–820.
Lage,  J. L., Antohe,  B. V., and Nield,  D. A., 1997, “Two Types of Nonlinear Pressure-Drop Versus Flow-Rate Relation Observed for Saturated Porous Media,” ASME J. Fluids Eng., 119, pp. 700–706.
Churchill,  S. W., and Usagi,  R., 1972, “A General Expression for the Correlation of Rates of Transfer and Other Phenomena,” AIChE J., 18(6), pp. 1121–1128.
Churchill,  S. W., and Ozoe,  H., 1973, “Correlations for Laminar Forced Convection With Uniform Heating in Flow Over a Plate and in Developing and Fully Developed Flow in a Tube,” ASME J. Heat Transfer, 95, pp. 78–84.
Kakaç, S., 1987, “The Effect of Temperature-Dependent Fluid Properties on Convective Heat Transfer,” in Handbook of Single-Phase Convective Heat Transfer, Kakaç et al., Eds., John Wiley and Sons, New York, Chpt. 18.

Figures

Grahic Jump Location
Longitudinal pressure-drop versus fluid speed for several heat fluxes at Tin=7°C
Grahic Jump Location
Longitudinal pressure-drop versus fluid speed for several heat fluxes at Tin=21°C
Grahic Jump Location
Longitudinal pressure-drop versus fluid speed for several heat fluxes at Tin=32°C
Grahic Jump Location
ζμ and ζC versus q, and their curve-fit for several inlet temperatures

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