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

Volume 11, Issue 5, 2008, pp. 457-466
DOI: 10.1615/JPorMedia.v11.i5.30
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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.

CITED BY
  1. Kaurangini M. L., Jha B. K., Unsteady generalized Couette flow in composite microchannel, Applied Mathematics and Mechanics, 32, 1, 2011. Crossref

  2. Jha Basant K., Odengle J. O., Unsteady Couette Flow in a Composite Channel Partially Filled with Porous Material: A Semi-analytical Approach, Transport in Porous Media, 107, 1, 2015. Crossref

  3. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from the Side, in Convection in Porous Media, 2017. Crossref

  4. Kaurangini M.L., Jha Basant K., Transient pressure-driven flow in interface region between a uniform porous medium and a clear fluid in parallel-plate with suction/injection, International Journal of Management Science and Engineering Management, 5, 1, 2010. Crossref

  5. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from the Side, in Convection in Porous Media, 2013. Crossref

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