NATURAL CONVECTION BOUNDARY LAYER ALONG IMPERMEABLE INCLINED SURFACES EMBEDDED IN POROUS MEDIUM

Authors

  • M. H. Kayhani Shahrood University of technology
  • E. Khaje Shahrood University of technology
  • M. Sadi Shahrood University of technology

DOI:

https://doi.org/10.5755/j01.mech.17.1.205

Abstract

The natural convection boundary layer flow on an arbitrarily inclined plate in a saturated porous medium is considered, where wall temperature is power function of the distance from the leading edge. Darcy-Boussinesq approximation is adopted to account for buoyancy force. Inclination parameter ξ is used such that all cases of the horizontal, Inclined and vertical plates can be described by a single set of transformed boundary layer equations. The non-linear coupled parabolic equations have been solved numerically by using an implicit finite-difference scheme for both positive and negative inclinations of the plate. Also, the similarity equations for the limiting cases of the horizontal and vertical plates are recovered by setting ξ = 0 and ξ = 1, respectively. Detailed results for skin friction coefficient and Nusselt number as well as for dimensionless velocity and temperature profiles are presented for a wide range of the parameter ξ. The comparison with other validated articles shows excellent agreement.

http://dx.doi.org/10.5755/j01.mech.17.1.205

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Published

2011-03-02

Issue

Vol. 17 No. 1 (2011)

Section

MECHANICS OF FLUIDS AND GASES

License

The copyright for the articles in this journal is retained by the author(s) with the first publication right granted to the journal. The journal is licensed under the Creative Commons Attribution License 4.0 (CC BY 4.0).