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Transport in Porous Media

, Volume 116, Issue 2, pp 521–532 | Cite as

The Mixed Convection Boundary Layer on a Vertical Melting Front in a Non-Darcian Porous Medium

  • N. F. Fauzi
  • J. H. Merkin
  • S. Ahmad
  • I. PopEmail author
Article

Abstract

The effect of surface melting on the dual solutions that can arise in the problem of the mixed convection boundary-layer flow past a vertical surface embedded in a non-Darcian porous medium is considered. The problem is described by M, melting parameter, \(\lambda \), mixed convection parameter, and \(\gamma \), the flow inertia coefficient, numerical results being obtained in terms of these three parameters. It is seen that the melting phenomenon reduces the heat transfer rate and enhances the boundary-layer separation at the solid–liquid interface. Asymptotic solutions for the forced convection, \(\lambda =0\), and free convection, large \(\lambda \), limits are derived.

Keywords

Boundary-layer separation Porous medium Surface melting Dual solutions 

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Copyright information

© European Union 2016

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversiti Sains MalaysiaUSMMalaysia
  2. 2.Department of Applied MathematicsUniversity of LeedsLeedsUK
  3. 3.Department of MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania

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