Mixed convection boundary layer flow over a permeable vertical surface with prescribed wall heat flux

Anuar Mohd Ishak, J. H. Merkin, Roslinda Mohd. Nazar, I. Pop

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

The effects of suction/injection on the laminar mixed convection boundary-layer flow on a vertical wall with a prescribed heat flux are considered. The conditions which allow the equations to be reduced to similarity form are derived and numerical solutions of the resulting equations are obtained for a range of values of the suction/injection and buoyancy parameters. Two specific cases, corresponding to a stagnation point flow and uniform wall heat flux, are treated in detail. Results are presented in terms of the skin friction and wall temperature with a selection of velocity and temperature profiles also being given. Dual solutions are found to exist for assisting flow, these are an addition to what has been reported previously for opposing flows. Solutions for some limiting values of the parameters are also derived.

Original languageEnglish
Pages (from-to)100-123
Number of pages24
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume59
Issue number1
DOIs
Publication statusPublished - Jan 2008

Fingerprint

Mixed Convection
Mixed convection
boundary layer flow
Boundary layer flow
Boundary Layer Flow
Suction
Heat Flux
Heat flux
heat flux
Injection
convection
Vertical
suction
Stagnation Point Flow
Dual Solutions
Skin Friction
Skin friction
Temperature Profile
Buoyancy
Velocity Profile

Keywords

  • Boundary-layer
  • Dual solutions
  • Mixed convection
  • Suction/injection

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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AU - Mohd. Nazar, Roslinda

AU - Pop, I.

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AB - The effects of suction/injection on the laminar mixed convection boundary-layer flow on a vertical wall with a prescribed heat flux are considered. The conditions which allow the equations to be reduced to similarity form are derived and numerical solutions of the resulting equations are obtained for a range of values of the suction/injection and buoyancy parameters. Two specific cases, corresponding to a stagnation point flow and uniform wall heat flux, are treated in detail. Results are presented in terms of the skin friction and wall temperature with a selection of velocity and temperature profiles also being given. Dual solutions are found to exist for assisting flow, these are an addition to what has been reported previously for opposing flows. Solutions for some limiting values of the parameters are also derived.

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