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TECHNICAL PAPERS: Heat Transfer Enhancement

Using Porous Fins for Heat Transfer Enhancement

[+] Author and Article Information
S. Kiwan, M. A. Al-Nimr

Mechanical Engineering Department, Jordan University of Science and Technology, Irbid-Jordan

J. Heat Transfer 123(4), 790-795 (Jul 14, 2000) (6 pages) doi:10.1115/1.1371922 History: Received January 20, 2000; Revised July 14, 2000
Copyright © 2001 by ASME
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References

Duffin,  R., 1959, “A Variational Problem Relating to Cooling Fins,” J. Math. Mech., 8, pp. 47–56.
Jany,  P., and Bejan,  A., 1988, “Ernst Schmidt’s Approach to Fin Optimization: An Extension to Fins with Variable Conductivity and the Design of Ducts for Fluid Flow,” Int. J. Heat Mass Transf., 31, pp. 1635–1644.
Bejan, A., 1984, Convection Heat Transfer, John Wiley and Sons, New York.
Snider,  A. D., and Kraus,  A. D., 1986, “The Quest for the Optimum Longitudinal Fin Profile,” ASME HTD, 64, pp. 43–48.
Poulikakos,  D., and Bejan,  A., 1982, “Fin Geometry for Minimum Entropy Generation in Forced Convection,” ASME J. Heat Transfer, 104, pp. 616–623.
Irey,  R. K., 1968, “Errors in the One-Dimensional Fin Solution,” ASME J. Heat Transfer, 90, pp. 175–176.
Lau,  W., and Tan,  C. W., 1973, “Errors in One-Dimensional Heat Transfer Analyses in Straight and Annular Fins,” ASME J. Heat Transfer, 95, pp. 549–551.
Stachiewicz,  J. W., 1969, “Effect of Variation of Local Film Coefficient on Fin Performance,” ASME J. Heat Transfer, 91, pp. 21–26.
Look,  D. C., 1988, “Two-Dimensional Fin Performance: Bi (Top Surface) ≥ Bi (Bottom Surface),” ASME J. Heat Transfer, 110, pp. 780–782.
Alkam,  M., and Al-Nimr,  M. A., 1999, “Improving the Performance of Double-Pipe Heat Exchangers by Using Porous Substrates,” Int. J. Heat Mass Transf., 42, pp. 3609–3618.
Al-Nimr,  M. A., and Alkam,  A., 1998, “A Modified Tubeless Solar Collector Partially Filled with Porous Substrate,” Renewable Energy, 13(2), pp. 165–173.
Alkam,  M. K., and Al-Nimr,  M. A., 1999, “Solar Collectors with Tubes Partially Filled with Porous Substrates,” ASME J. Sol. Energy Eng., 121, pp. 20–24.
Al-Nimr,  M. A., and Alkam,  M., 1997, “Unsteady Non-Darcian Forced Convection Analysis in an Annulus Partially Filled with a Porous Material,” ASME J. Heat Transfer, 119, pp. 799–804.
Vafai,  K., and Kim,  S. J., 1995, “On the Limitations of the Brinkman-Forchheimer-Extended Darcy Equation,” Int. J. Heat Fluid Flow, 16, pp. 11–15.
Engelman, M. S., 1993, Fidap Theoretical Manual-Revision 7, 1st ed., Fluid Dynamics International, Inc., Evanston, IL.
del Vahl Davis,  G., 1983, “Natural Convection in a Square Cavity–A Benchmark Solution,” Int. J. Numer. Methods Fluids, 3, pp. 249–264.

Figures

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Schematic diagram for the fins configuration
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Finite element mesh for the flow field
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Simple simulation for the porous fin
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Effect of slides number on the heat transfer ratio and on the fraction of saved material
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Sample plot for the (a) streamlines and (b) isotherms in the flow field
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Effect of thermal conductivity ratio on the heat transfer ratio for different fin lengths
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Effect of solid to fluid thermal conductivity ratio on fin porosity
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Effect of Rayleigh number on the heat transfer ratio for different Darcy numbers
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Effect of thermal conductivity ratio on Nusselt number at different fin lengths

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