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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v18.i9.40
pages 873-878

FORCED CONVECTION IN A DARCY−BRINKMAN POROUS MEDIUM WITH A CONVECTIVE THERMAL BOUNDARY CONDITION

Asterios Pantokratoras
School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece

ABSTRACT

The heat transfer characteristics of the boundary layer flow past a plane surface adjacent to a saturated Darcy−Brinkman porous medium are investigated in this paper. An external free stream moving at constant velocity drives the flow. A convective boundary condition with a specified constant heat transfer coefficient is applied to the surface. The problem can be characterized as non-similar and is investigated analytically, as well as numerically by a finite volume method. It is found that the velocity field changes from two-dimensional to one-dimensional, where an analytical solution exists. The governing non-dimensional parameters for the developed thermal field are the convective Darcy number, the Prandtl number, and the axial distance along the plate. The influence of these parameters on the thermal field is investigated and the results are presented in tables and figures. The temperature and wall heat transfer tend to an asymptotic state, where analytical solutions exist.


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