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Mixed Convection in a Vertical Porous Channel

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An Erratum to this article was published on 17 April 2008

Abstract

A numerical study of mixed convection in a vertical channel filled with a porous medium including the effect of inertial forces is studied by taking into account the effect of viscous and Darcy dissipations. The flow is modeled using the Brinkman–Forchheimer-extended Darcy equations. The two boundaries are considered as isothermal–isothermal, isoflux–isothermal and isothermal–isoflux for the left and right walls of the channel and kept either at equal or at different temperatures. The governing equations are solved numerically by finite difference method with Southwell–Over–Relaxation technique for extended Darcy model and analytically using perturbation series method for Darcian model. The velocity and temperature fields are obtained for various porous parameter, inertia effect, product of Brinkman number and Grashof number and the ratio of Grashof number and Reynolds number for equal and different wall temperatures. Nusselt number at the walls is also determined for three types of thermal boundary conditions. The viscous dissipation enhances the flow reversal in the case of downward flow while it counters the flow in the case of upward flow. The Darcy and inertial drag terms suppress the flow. It is found that analytical and numerical solutions agree very well for the Darcian model.

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Authors and Affiliations

  1. Department of Mathematics, Gulbarga University, Gulbarga, 585 106, Karnataka, India

    J. C. Umavathi & J. P. Kumar

  2. Manufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh, 70654, Kuwait

    A. J. Chamkha

  3. Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania

    I. Pop

Authors
  1. J. C. Umavathi
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  2. J. P. Kumar
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  3. A. J. Chamkha
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  4. I. Pop
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Corresponding author

Correspondence to I. Pop.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s11242-008-9214-z.

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Umavathi, J.C., Kumar, J.P., Chamkha, A.J. et al. Mixed Convection in a Vertical Porous Channel. Transp Porous Med 61, 315–335 (2005). https://doi.org/10.1007/s11242-005-0260-5

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  • DOI: https://doi.org/10.1007/s11242-005-0260-5

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