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TECHNICAL PAPERS: Natural and Mixed Convection

Natural Convection Heat Transfer From a Cylinder With High Conductivity Permeable Fins

[+] Author and Article Information
Bassam A/K Abu-Hijleh

Department of Mechanical and Manufacturing Engineering, RMIT University, Bundoora East Campus, PO Box 71, Bundoora 3083, Victoria, Australiae-mail: Bassam.Abu-Hijleh@RMIT.edu.au

J. Heat Transfer 125(2), 282-288 (Mar 21, 2003) (7 pages) doi:10.1115/1.1532013 History: Received March 22, 2002; Revised October 08, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Morgan,  V. T., 1975, “The Overall Convective Heat Transfer From Smooth Circular Cylinders,” Adv. Heat Transfer, 11, pp. 199–264.
Churchill,  S. W., and Chu,  H. H. S., 1975, “Correlating Equations for Laminar and Turbulent Free Convection From a Horizontal Cylinder,” Int. J. Heat Mass Transf., 18, pp. 1049–1053.
Kuehn,  T. H., and Goldstein,  R. J., 1980, “Numerical Solutions to the Navier-Stokes Equations for Laminar Natural Convection About a Horizontal Cylinder,” Int. J. Heat Mass Transf., 23, pp. 971–979.
Farouk,  B., and Guceri,  S. I., 1981, “Natural Convection From a Horizontal Cylinder-Laminar Regime,” J. Heat Transfer, , 103, pp. 522–527.
Wang,  P., Kahawita,  R., and Nguyen,  T. H., 1990, “Numerical Computation of the Natural Convection Flow About a Horizontal Cylinder Using Splines,” Numer. Heat Transfer, Part A, 17, pp. 191–215.
Saitoh,  T., Sajik,  T., and Maruhara,  K., 1993, “Benchmark Solutions to Natural Convection Heat Transfer Problem Around a Horizontal Circular Cylinder,” Int. J. Heat Mass Transf., 36, pp. 1251–1259.
Chai,  J. C., and Patankar,  S. V., 1993, “Laminar Natural Convection in Internally Finned Horizontal Annuli,” Numer. Heat Transfer, Part A, 24, pp. 67–87.
Abu-Hijleh,  B. A/K, Abu-Qudais,  M., and Abu-Nada,  E., 1998, “Entropy Generation Due to Laminar Natural Convection From a Horizontal Isothermal Cylinder,” J. Heat Transfer, , 120, pp. 1089–1990.
Eckert,  E. R. G., Goldstein,  R. J., Ibele,  W. E., Patankar,  S. V., Simon,  T. W., Kuehn,  T. H., Strykowski,  P. J., Tamman,  K. K., Bar-Cohen,  A., Heberlein,  J. V. R., Davidson,  J. H., Bischof,  J., Kulacki,  F. A., Kortshagenm,  U., and Garrick,  S., 2000, “Heat Transfer—A Review of 1997 Literature,” Int. J. Heat Mass Transf., 43, pp. 2431–2528.
Abu-Hijleh,  B. A/K, 2001, “Natural Convection and Entropy Generation From a Cylinder with high Conductivity Fins,” J. Numer. Heat Transfer, 39, pp. 405–432.
Stewart,  W. E., and Burns,  A. S., 1992, “Convection in a Concentric Annulus with Heat Generating Porous Media and a Permeable Inner Boundary,” Int. Commun. Heat Mass Transfer, 19, pp. 859–868.
Zhao,  T. S., and Liao,  Q., 2000, “On Capillary-Driven Flow and Phase-Change Heat Transfer in a Porous Structure Heated by a Finned Surface: Measurements and Modeling,” Int. J. Heat Mass Transf., 43, pp. 1141–1155.
Zhao,  T. S., and Song,  Y. J., 2001, “Forced Convection in a Porous Medium Heated by a Permeable Wall Perpendicular to Flow Direction: Analyses and Measurements,” Int. J. Heat Mass Transf., 44, pp. 1031–1037.
Anderson, J. D., 1994, Computational Fluid Dynamics: The Basics with Applications, McGraw Hill, New York.
Patankar, S. V., 1980, Numerical Heat Transfer of Fluid Flow, McGraw Hill, New York.

Figures

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Schematic of the problem, showing a case with non-uniform fin distribution
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Schematic of the computational grid in the physical (left) and computational (right) domains, showing a case with uniform fin distribution
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Comparison of the local Nusselt number for the case of a cylinder without fins
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Change in the normalized Nusselt number of the permeable fins (solid lines) and solid fins (broken lines), at RaD=103
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Change in the normalized Nusselt number of the permeable fins (solid lines) and solid fins (broken lines), at RaD=104
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Change in the normalized Nusselt number of the permeable fins (solid lines) and solid fins (broken lines), at RaD=105
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Change in the normalized Nusselt number of the permeable fins (solid lines) and solid fins (broken lines), at RaD=106
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Streamlines (right) and isotherms (left) for the case RaD=104 and H=2.00 for different number of permeable fins
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Velocity vector plot for the case of RaD=104,H=2.00, and Nf=11 (constant length vectors are use, i.e., vector’s length does not represent the magnitude of the velocity vector)
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Variation of the local Nusselt number for different number of permeable fins at RaD=104 and H=2.00
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Change in the ratio of the normalized permeable to solid fins Nusselt number at RaD=103 (top) and RaD=106 (bottom)

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