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Journal of Porous Media
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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.2018028709
pages 1215-1228

INFLUENCE OF VARIABLE PERMEABILITY ON FREE CONVECTION FLOW ALONG A CONVECTIVELY HEATED VERTICAL SURFACE IN A SATURATED POROUS MEDIUM

Ammarah Raees
Institute of Refrigeration and Cryogenics, Shanghai Jiao Tong University, Shanghai 200240, China
R. Z. Wang
Institute of Refrigeration and Cryogenics, Shanghai Jiao Tong University, Shanghai 200240, China
Hang Xu
Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

ABSTRAKT

An investigation is made on convective heat transfer flow along a convectively heated vertical flat plate embedded in a fluid-saturated porous medium. This analysis incorporates variable permeability, variable porosity, and variable thermal conductivity. Within the boundary layer theory and using the Darcy model, the flow in porous medium is described and similarity solutions are obtained numerically for the nondimensional governing equations. The gained numerical results are then used to graphically analyze fluid flow characteristics and local Nusselt number with the variation of permeability, porosity, and thermal conductivity. It is found that variation of permeability shows a significant influence on the heat transfer rate at the convectively heated surface. Moreover, expressions for overall surface heat flux and boundary layer thickness are obtained to further validate our conclusions. The obtained results are then used to study an application of a dike intruded in an aquifer.


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