A Comment on the Flow and Heat Transfer Past a Permeable Stretching/Shrinking Surface in a Porous Medium: Brinkman Model

J. H. Merkin, N. Bachok, Anuar Mohd Ishak, I. Pop

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An analytical solution is presented for the boundary-layer flow and heat transfer over a permeable stretching/shrinking surface embedded in a porous medium using the Brinkman model. The problem is seen to be characterized by the Prandtl number Pr, a mass flux parameter s, with s > 0 for suction, s = 0 for an impermeable surface, and s < 0 for blowing, a viscosity ratio parameter M, the porous medium parameter Λ and a wall velocity parameter λ. The analytical solution identifies critical values which agree with those previously determined numerically (Bachok et al. Proceedings of the fifth International Conference on Applications of Porous Media, 2013) and shows that these critical values, and the consequent dual solutions, can arise only when there is suction through the wall, s > 0.

Original languageEnglish
Pages (from-to)365-371
Number of pages7
JournalTransport in Porous Media
Volume101
Issue number3
DOIs
Publication statusPublished - Feb 2014

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Stretching
Porous materials
Heat transfer
Boundary layer flow
Prandtl number
Mass transfer

Keywords

  • Boundary layer
  • Dual solutions
  • Heat transfer
  • Porous Medium
  • Stretching/shrinking sheet
  • Suction/blowing

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

A Comment on the Flow and Heat Transfer Past a Permeable Stretching/Shrinking Surface in a Porous Medium : Brinkman Model. / Merkin, J. H.; Bachok, N.; Mohd Ishak, Anuar; Pop, I.

In: Transport in Porous Media, Vol. 101, No. 3, 02.2014, p. 365-371.

Research output: Contribution to journalArticle

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