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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.v11.i5.30
pages 457-466

Heat Transfer between Two Vertical Parallel Walls Partially Filled with a Porous Medium: Use of a Brinkman-Extended Darcy Model

Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

ABSTRACT

An analysis has been presented for the fully developed heat transfer to a viscous incompressible fluid between two vertical parallel walls partially filled with porous matrix and partially with a clear fluid invoking vertical interface. The momentum transfer in the porous medium is described by the Brinkman-extended Darcy model, and the two regions are coupled by equating the velocity and shear stress at the interface. Perturbation technique is used to solve the governing nonlinear equations. It is observed that for large values of Darcy number, the effects of Brinkman terms is on the entire porous domain, while for small values of Darcy number, its effect is confined in the vicinity of the interface only. The effects of the parameters governing the velocity and temperature distributions are presented graphically, while the numerical values of skin friction, rate of heat transfer, and flux of flow are presented in tables, followed by a discussion.


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