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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v19.i10.40
pages 885-900

COMPARISON STUDY OF DIFFERENT VISCOUS DISSIPATION EFFECTS ON FORCED CONVECTION HEAT TRANSFER IN A POWER LAW FLUID SATURATED POROUS MEDIUM

Xingwang Tian
Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, China; School of Ocean and Civil Engineering, Dalian Ocean University, Dalian 116023, China
Ping Wang
Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, China
Shiming Xu
Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, China
Xi Wu
Dalian University of Technology, 2 Ling Gong Rd. Gan Jingzi District, Dalian 116024, China

RÉSUMÉ

Based on the Darcy-Brinkman-Forchheimer flow model, this study analyzed and compared the viscous dissipation effects during the process of a forced and fully developed convection heat transfer in a flat channel. The channel was filled with a kind of porous medium saturated by a power law fluid. Three different terms were considered to analyze the viscous dissipation, namely, the Darcy term, Al-Hadharami term, and Forchheimer term. In this comparative study, we have taken the Forchhemier term into consideration since some researchers thought it might have an indirect effect on the dissipation function, although others argued. The dimensionless calculation expressions of the axial velocity distribution and temperature distribution were deduced, and solved numerically by employing the classical Runge-Kutta fourth-order scheme subject to uniform heat flux. Variations of the dimensionless temperature are examined and discussed, which is the function of the Brinkman number, Darcy number, Forchheimer inertial parameter, and power law index. It is found that the temperature profiles were quite close to the velocity profiles and obviously influenced by the relative magnitude of these dimensionless parameters. The results also indicated that the rate of heat transfer was significantly affected by different viscous dissipation terms.


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