Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-14T07:20:27.474Z Has data issue: false hasContentIssue false
  • English
  • Français

Forced convection in a fluid-saturated porous-medium channel with isothermal or isoflux boundaries

Published online by Cambridge University Press:  26 April 2006

D. A. Nield ,
S. L. M. Junqueira  and
J. L. Lage
D. A. Nield
Affiliation:
Department of Engineering Science, University of Auckland, Auckland, New Zealand
S. L. M. Junqueira
Affiliation:
Mechanical Enginering Department, Southern Methodist University, University, Dallas, TX 75275-0337, USA
J. L. Lage
Affiliation:
Mechanical Enginering Department, Southern Methodist University, University, Dallas, TX 75275-0337, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

We present a fresh theoretical analysis of fully developed forced convection in a fluid-saturated porous-medium channel bounded by parallel plates, with imposed uniform heat flux or isothermal condition at the plates. As a preliminary step, we obtain an ‘exact’ solution of the Brinkman-Forchheimer extension of Darcy's momentum equation for flow in the channel. This uniformly valid solution permits a unified treatment of forced convection heat transfer, provides the means for a deeper explanation of the physical phenomena, and also leads to results which are valid for highly porous materials of current practical importance.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 322 , 10 September 1996 , pp. 201 - 214
Copyright
© 1996 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. (ed.) 1965 Handbook of Mathematical Functions. Dover.
Bejan, A. 1984 Convective Heat Transfer. Wiley.
Cheng, P., Hsu, C. T. & Chowdhury, A. 1988 Forced convection in the entrance region of a packed channel with asymmetrical heating. Trans. ASME C: J. Heat Transfer 110, 946–954.Google Scholar
Givler, R. C. & Altobelli, S. A. 1994 A determination of the effective viscosity for the Brinkman-Forchheimer flow model. J. Fluid Mech. 258, 355–370.Google Scholar
Kaviany, M. 1985 Laminar flow through a porous channel bounded by isothermal parallel plates. Intl J. Heat Mass Transfer 28, 851–858.Google Scholar
Lage, J. L., Price, D. C., Weber, R. M., Schwartz, G. J. & McDaniel, J. 1996 Improved cold plate design for thermal management of phased array radar systems. US Patent Office, patent pending.
Lauriat, G. & Vafai, K. 1991 Forced convective flow and heat transfer through a porous medium exposed to a flat plate or a channel. Convective Heat and Mass Transfer in Porous Media (ed. S. Kaka, B. Kilki, F. A. Kulaki & F. Arin), pp. 289–327. Kluwer.
Nakayama, A., Koyama, H. & Kuwahara, F. 1988 An analysis on forced convection in a channel filled with a Brinkman-Darcy porous medium: exact and approximate solutions. Wärme-und Stoffübertragung 23, 291–295.CrossRefGoogle Scholar
Nield, D. A. & Bejan, A. 1992 Convection in Porous Media. Springer.
Poulikakos, D. & Renken, K. 1987 Forced convection in a channel filled with porous medium, including the effects of flow inertia, variable porosity, and Brinkman friction. Trans. ASME C: J. Heat Transfer 109, 880–888.Google Scholar
Rajasubramanian, G., Meidell, R. S., Landau, C., Dollar, M. L., Holt, D. B., Willard, J. E., Prager, M. D. & Eberhart, R. C. 1994 Fabrication of resorbable microporous intravascular stents for gene therapy applications. ASAIO J. 40, M584–589.Google Scholar
Renken, K. & Poulikakos, D. 1988 Experiment and analysis of forced convective heat transport in a packed bed of spheres. Intl J. Heat Mass Transfer 31, 1399–1408.Google Scholar
Stoer, J. & Bulirsch, R. 1980 Introduction to Numerical Analysis. Springer.
Vafai, K. & Kim, S. J. 1989 Forced convection in a channel filled with a porous medium: an exact solution. Trans. ASME C: J. Heat Transfer 111, 1103–1106.Google Scholar
Vafai, K. & Kim, S. J. 1995 Discussion of ‘Forced convection in a porous channel with localized sources’. Trans. ASME C: J. Heat Transfer 117, 1097–1098.Google Scholar
Vafai, K. & Thiyagaraja, R. 1987 Analysis of flow and heat transfer at the interface region of a porous medium. Intl J. Heat Mass Transfer 30, 1391–1405.Google Scholar
Vafai, K. & Tien, C. L. 1981 Boundary and intertia effects on flow and heat transfer in porous media. Intl J. Heat Mass Transfer 24, 195–203.Google Scholar
Weinert, A. & Lage, J. L. 1994 Porous aluminum-alloy based cooling devices for electronics. SMU-MED-CPMA Inter. Rep. 1.01/94.Google Scholar