0
RESEARCH PAPERS: Porous Media

A Novel Methodology for Thermal Analysis of a Composite System Consisting of a Porous Medium and an Adjacent Fluid Layer

[+] Author and Article Information
Jung Yim Min, Sung Jin Kim

Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Taejon, 305-701, Korea

J. Heat Transfer 127(6), 648-656 (Jun 06, 2005) (9 pages) doi:10.1115/1.1863273 History: Received February 05, 2004; Revised November 19, 2004; Online June 06, 2005
Copyright © 2005 by ASME
Your Session has timed out. Please sign back in to continue.

References

Prasad, V., 1991, “Convective flow interaction and heat transfer between fluid and porous layers,” Proc. NATO ASI, Convective Heat Mass Transfer in Porous Media, edited by Kakac et al., Kluwer Academic Publ., Netherlands, pp. 563–615.
Alazmi,  B., and Vafai,  K., 2001, “Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer,” Int. J. Heat Mass Transfer, 44, pp. 1735–1749.
Beavers,  G. S., and Joseph,  D. D., 1967, “Boundary condition at a naturally permeable wall,” J. Fluid Mech., 30, pp. 197–207.
Neale,  G., and Nader,  W., 1974, “Practical significance of Brinkman’s extension of Darcy’s law: coupled parallel flows within a channel and a bounding porous medium,” Can. J. Chem. Eng., 52, pp. 475–478.
Vafai,  K., and Kim,  S. J., 1990, “Analysis of surface enhancement by a porous substrate,” J. Heat Transfer, 112, pp. 700–706.
Kim,  S. J., and Choi,  C. Y., 1996, “Convective heat transfer in porous and overlying fluid layers heated from below,” Int. J. Heat Mass Transfer, 39, pp. 319–329.
Poulikakos,  D., and Kazmierczak,  M., 1987, “Forced convection in a duct partially filled with a porous material,” J. Heat Transfer, 109, pp. 319–329.
Jang,  J. Y., and Chen,  J. L., 1992, “Forced convection in a parallel plate channel partially filled with a high porosity medium,” Int. Commun. Heat Mass Transfer, 19, pp. 262–273.
Nield,  D. A., 1991, “The limitation of the Brinkman–Forchheimer equation in modeling flow in a saturated porous medium and at an interface,” Int. J. Heat Fluid Flow, 12, pp. 269–272.
Ochoa-Tapia,  J. A., and Whitaker,  S., 1995, “Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. Theoretical development,” Int. J. Heat Mass Transfer, 38, pp. 2635–2646.
Ochoa-Tapia,  J. A., and Whitaker,  S., 1995, “Momentum transfer at the boundary between a porous medium and a homogeneous fluid-II. Comparison with experiment,” Int. J. Heat Mass Transfer, 38, pp. 2647–2655.
Kuznetsov,  A. V., 1998, “Analytic study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium,” Flow, Turbul. Combust., 60, pp. 173–192.
Ochoa-Tapia,  J. A., and Whitaker,  S., 1998, “Heat transfer at the boundary between a porous medium and a homogeneous fluid: the one-equation model,” J. Porous Mater., 1, pp. 31–46.
Sahraoui,  M., and Kaviany,  M., 1994, “Slip and no-slip temperature boundary conditions at the interface of porous, plain media: convection,” Int. J. Heat Mass Transfer, 37, pp. 1029–1044.
Ochoa-Tapia,  J. A., and Whitaker,  S., 1997, “Heat transfer at the boundary between a porous medium and a homogeneous fluid,” Int. J. Heat Mass Transfer, 40, pp. 2691–2707.
Taylor,  G. I., 1971, “A model for the boundary condition of a porous material, Part 1,” J. Fluid Mech., 49, pp. 310–326.
Richardson,  S., 1971, “A model for the boundary condition of a porous material, Part 2,” J. Fluid Mech., 49, pp. 327–336.
Bejan, A., 1995, Convection Heat Transfer, 2nd ed., Wiley, New York, Chap. 12.
Kim,  S. J., Kim,  D., and Lee,  D. Y., 2000, “On the local thermal equilibrium in microchannel heat sinks,” Int. J. Heat Mass Transfer, 43, pp. 1735–1748.
Kim,  D., and Kim,  S. J., 2004, “Compact Modeling of Fluid Flow and Heat Transfer in Straight Fin Heat Sinks,” J. Electron. Packag., 126, pp. 247–255.
Min,  J. Y., Jang,  S. P., and Kim,  S. J., 2004, “Effect of tip clearance on the cooling performance of a microchannel heat sink,” Int. J. Heat Mass Transfer, 47, pp. 1099–1103.
Sahraoui,  M., and Kaviany,  M., 1992, “Slip and no-slip velocity boundary conditions at interface of porous, plain media,” Int. J. Heat Mass Transfer, 35, pp. 927–943.
Calmidi,  V. V., and Mahajan,  R. L., 2000, “Forced Convection in high Porosity Metal Foams,” J. Heat Transfer, 122, pp. 557–565.

Figures

Grahic Jump Location
Schematic of a composite system consisting of a porous medium and an adjacent fluid layer
Grahic Jump Location
Distributions of (a) velocity and (b) temperature along the porous–fluid interface
Grahic Jump Location
Schematic diagram of the ideal composite channel
Grahic Jump Location
Comparison between the analytical solution (dashed line) and the numerical solution (solid line) for the ideal composite channel in the case when ε=0.533,Da=0.008533,S=0.5, and C=114.1
Grahic Jump Location
Comparison between the analytical results of the present study and the experimental data of Beavers and Joseph 3
Grahic Jump Location
Variation of β with respect to ε for the case of S≫Dp
Grahic Jump Location
Variation of Nui with respect to ε for the case of S≫Dp

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In