Dual solutions in mixed convection flow near a stagnation point on a vertical surface in a porous medium

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43 Citations (Scopus)

Abstract

The steady stagnation point flow through a porous medium bounded by a vertical surface is investigated in this study. The external velocity, which normally impinges the vertical surface and the surface temperature are assumed to vary linearly with the distance from the stagnation point. The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and then they are solved numerically by a finite-difference scheme, namely the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both cases of assisting and opposing flows are considered. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow. Therefore, the reported results are completely new.

Original languageEnglish
Pages (from-to)1150-1155
Number of pages6
JournalInternational Journal of Heat and Mass Transfer
Volume51
Issue number5-6
DOIs
Publication statusPublished - Mar 2008

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Mixed convection
stagnation point
Porous materials
convection
Ordinary differential equations
Partial differential equations
Heat transfer
partial differential equations
surface temperature
boxes
differential equations
heat transfer
Temperature

Keywords

  • Boundary layer
  • Dual solutions
  • Mixed convection
  • Porous medium
  • Stagnation point

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy(all)
  • Mechanical Engineering

Cite this

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abstract = "The steady stagnation point flow through a porous medium bounded by a vertical surface is investigated in this study. The external velocity, which normally impinges the vertical surface and the surface temperature are assumed to vary linearly with the distance from the stagnation point. The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and then they are solved numerically by a finite-difference scheme, namely the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both cases of assisting and opposing flows are considered. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow. Therefore, the reported results are completely new.",
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author = "{Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda and Ioan Pop",
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T1 - Dual solutions in mixed convection flow near a stagnation point on a vertical surface in a porous medium

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2008/3

Y1 - 2008/3

N2 - The steady stagnation point flow through a porous medium bounded by a vertical surface is investigated in this study. The external velocity, which normally impinges the vertical surface and the surface temperature are assumed to vary linearly with the distance from the stagnation point. The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and then they are solved numerically by a finite-difference scheme, namely the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both cases of assisting and opposing flows are considered. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow. Therefore, the reported results are completely new.

AB - The steady stagnation point flow through a porous medium bounded by a vertical surface is investigated in this study. The external velocity, which normally impinges the vertical surface and the surface temperature are assumed to vary linearly with the distance from the stagnation point. The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and then they are solved numerically by a finite-difference scheme, namely the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both cases of assisting and opposing flows are considered. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow. Therefore, the reported results are completely new.

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KW - Dual solutions

KW - Mixed convection

KW - Porous medium

KW - Stagnation point

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