An investigation of variants within the porous media transport models is presented in this work. Four major categories in modeling the transport processes through porous media, namely constant porosity, variable porosity, thermal dispersion, and local thermal nonequilibrium, are analyzed in detail. The main objective of the current study is to compare these variances in models for each of the four categories and establish conditions leading to convergence or divergence among different models. To analyze the effects of variants within these transport models, a systematic reduction and sensitivity investigation for each of these four aspects is presented. The effects of the Darcy number, inertia parameter, Reynolds number, porosity, particle diameter, and the fluid-to-solid conductivity ratio on the variances within each of the four areas are analyzed. It is shown that for some cases the variances within different models have a negligible effect on the results while for some cases the variations can become significant. In general, the variances have a more pronounced effect on the velocity field and a substantially smaller effect on the temperature field and Nusselt number distribution. [S0022-1481(00)02602-5]
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Analysis of Variants Within the Porous Media Transport Models
B. Alazmi,
B. Alazmi
Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210
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K. Vafai
e-mail: Vafai.1@osu.edu
K. Vafai
Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210
Search for other works by this author on:
B. Alazmi
Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210
K. Vafai
Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210
e-mail: Vafai.1@osu.edu
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division, Sept. 30, 1999; revision received, Dec. 16, 1999. Associate Technical Editor: J. Howell.
J. Heat Transfer. May 2000, 122(2): 303-326 (24 pages)
Published Online: December 16, 1999
Article history
Received:
September 30, 1999
Revised:
December 16, 1999
Citation
Alazmi , B., and Vafai, K. (December 16, 1999). "Analysis of Variants Within the Porous Media Transport Models ." ASME. J. Heat Transfer. May 2000; 122(2): 303–326. https://doi.org/10.1115/1.521468
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