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Transport in Porous Media

, Volume 96, Issue 2, pp 419–428 | Cite as

Viscous Dissipation and Thermal Radiation Effects on Mixed Convection from a Vertical Plate in a Non-Darcy Porous Medium

  • Mahesha Narayana
  • Ahmed A. Khidir
  • Precious SibandaEmail author
  • P. V. S. N. Murthy
Article

Abstract

The paper presents an investigation of the influence of thermal radiation and viscous dissipation on the mixed convective flow due to a vertical plate immersed in a non-Darcy porous medium saturated with a Newtonian fluid. The physical properties of the fluid are assumed to be constant. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing partial differential equations are transformed into a system of ordinary differential equations and solved numerically using a shooting method. The results are analyzed for the effects of various physical parameters such as viscous dissipation, thermal radiation, mixed convection parameters, and the modified Reynolds number on dynamics. The heat transfer coefficient is also tabulated for different values of the physical parameters.

Keywords

Mixed convection Non-Darcy porous medium Viscous dissipation Thermal radiation Local non-similarity method 

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Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  • Mahesha Narayana
    • 1
  • Ahmed A. Khidir
    • 1
  • Precious Sibanda
    • 1
    Email author
  • P. V. S. N. Murthy
    • 2
  1. 1.School of Mathematics, Statistics and Computer ScienceUniversity of KwaZulu-NatalScottsville, PietermaritzburgSouth Africa
  2. 2.Department of MathematicsIndian Institute of TechnologyKharagpurIndia

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