Mixed Convection Stagnation-Point Flow Over a Vertical Plate with Prescribed Heat Flux Embedded in a Porous Medium: Brinkman-Extended Darcy Formulation

Haliza Rosali, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This article considers the problem of mixed convection stagnation-point flow towards a vertical plate embedded in a porous medium with prescribed surface heat flux. It is assumed that the free stream velocity and the surface heat flux vary linearly from the stagnation point. Using a similarity transformation, the governing system of partial differential equations is transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. The features of the flow and the heat transfer characteristics are analyzed and discussed. It is found that dual solutions exist for both buoyancy assisting and opposing flows.

Original languageEnglish
Pages (from-to)709-719
Number of pages11
JournalTransport in Porous Media
Volume90
Issue number3
DOIs
Publication statusPublished - Dec 2011

Fingerprint

Mixed convection
Porous materials
Heat flux
Buoyancy
Finite difference method
Ordinary differential equations
Partial differential equations
Heat transfer

Keywords

  • Dual solutions
  • Heat flux
  • Heat transfer
  • Mixed convection
  • Porous medium
  • Stagnation-point

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

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abstract = "This article considers the problem of mixed convection stagnation-point flow towards a vertical plate embedded in a porous medium with prescribed surface heat flux. It is assumed that the free stream velocity and the surface heat flux vary linearly from the stagnation point. Using a similarity transformation, the governing system of partial differential equations is transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. The features of the flow and the heat transfer characteristics are analyzed and discussed. It is found that dual solutions exist for both buoyancy assisting and opposing flows.",
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AB - This article considers the problem of mixed convection stagnation-point flow towards a vertical plate embedded in a porous medium with prescribed surface heat flux. It is assumed that the free stream velocity and the surface heat flux vary linearly from the stagnation point. Using a similarity transformation, the governing system of partial differential equations is transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. The features of the flow and the heat transfer characteristics are analyzed and discussed. It is found that dual solutions exist for both buoyancy assisting and opposing flows.

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