Free Convection Boundary Layer Flow Past a Vertical Surface in a Porous Medium with Temperature-Dependent Properties

K. Vajravelu, K. V. Prasad, Robert A. van Gorder, Jinho Lee

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13 Citations (Scopus)


Numerical solutions for the free convection heat transfer in a viscous fluid at a permeable surface embedded in a saturated porous medium, in the presence of viscous dissipation with temperature-dependent variable fluid properties, are obtained. The governing equations for the problem are derived using the Darcy model and the Boussinesq approximation (with nonlinear density temperature variation in the buoyancy force term). The coupled non-linearities arising from the temperature-dependent density, viscosity, thermal conductivity, and viscous dissipation are included. The partial differential equations of the model are reduced to ordinary differential equations by a similarity transformation and the resulting coupled, nonlinear ordinary differential equations are solved numerically by a second order finite difference scheme for several sets of values of the parameters. Also, asymptotic results are obtained for large values of {pipe}fw{pipe}. Moreover, the numerical results for the velocity, the temperature, and the wall-temperature gradient are presented through graphs and tables, and are discussed. It is observed that by increasing the fluid variable viscosity parameter, one could reduce the velocity and thermal boundary layer thickness. However, quite the opposite is true with the non-linear density temperature variation parameter.

Original languageEnglish
Pages (from-to)977-992
Number of pages16
JournalTransport in Porous Media
Issue number3
Publication statusPublished - 2011 Dec

Bibliographical note

Funding Information:
Acknowledgments The authors appreciate the comments of the reviewers, which have led to definite improvements in the article. One of the authors, K. V. Prasad expresses his grateful thanks to DST authorities for providing financial support through BOYSCAST fellowship.

All Science Journal Classification (ASJC) codes

  • Catalysis
  • Chemical Engineering(all)


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