In certain contemporary technologies, porous media with high solid-phase conductivity are impregnated with low-conductivity fluids, e.g., metal and graphite foam cooled by air. For such cases, an approximate analytical model for the developing heat transfer inside a two-dimensional rectangular porous medium subjected to constant heat flux is presented. The model neglects conduction in the fluid and assumes plug flow. The resulting nonthermal-equilibrium equations are solved for the solid and fluid temperatures by separation of variables. The temperatures decay exponentially as the distance from the heated base increases. The effects of the Biot and Peclet numbers are presented. Fully developed heat-transfer conditions are achieved at an axial distance equal to five times the height of the porous medium, with a constant Nusselt number equal to 3.
Skip Nav Destination
e-mail: nihad.dukhan@udmercy.edu
Article navigation
Technical Briefs
Developing Nonthermal-Equilibrium Convection in Porous Media With Negligible Fluid Conduction
Nihad Dukhan
Nihad Dukhan
Department of Mechanical Engineering,
e-mail: nihad.dukhan@udmercy.edu
University of Detroit Mercy
, 4001 W. McNichols Road, Detroit, MI 48221
Search for other works by this author on:
Nihad Dukhan
Department of Mechanical Engineering,
University of Detroit Mercy
, 4001 W. McNichols Road, Detroit, MI 48221e-mail: nihad.dukhan@udmercy.edu
J. Heat Transfer. Jan 2009, 131(1): 014501 (3 pages)
Published Online: October 16, 2008
Article history
Received:
November 2, 2007
Revised:
July 8, 2008
Published:
October 16, 2008
Citation
Dukhan, N. (October 16, 2008). "Developing Nonthermal-Equilibrium Convection in Porous Media With Negligible Fluid Conduction." ASME. J. Heat Transfer. January 2009; 131(1): 014501. https://doi.org/10.1115/1.2993540
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
An Engineering Estimate for Plug-Flow Convection in Porous Media Discarding Fluid Conduction
J. Electron. Packag (September,2009)
Heat Transfer Analysis in Metal Foams With Low-Conductivity Fluids
J. Heat Transfer (August,2006)
The Effect of Thermal Contact Resistance at Porous-Solid Interfaces in Finned Metal Foam Heat Sinks
J. Electron. Packag (December,2010)
Measurement of Interstitial Convective Heat Transfer and Frictional Drag for Flow Across Metal Foams
J. Heat Transfer (February,2002)
Related Proceedings Papers
Related Chapters
Radiation
Thermal Management of Microelectronic Equipment
Energy Balance for a Swimming Pool
Electromagnetic Waves and Heat Transfer: Sensitivites to Governing Variables in Everyday Life
Heat Transfer Enhancement for Thermal Energy Storage Using Metal Foams Embedded within Phase Change Materials (PCMS)
Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)