Influence of thermal stratification and variable viscosity on non-Darcy mixed convective heat transfer past a porous wedge in the presence of viscous dissipation

Muhaimin, R. Kandasamy, Ishak Hashim, Ruhaila

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The problem of thermal stratification on non-Darcy mixed convective heat transfer of a viscous and incompressible fluid past a porous wedge in the presence of viscous dissipation is analyzed for the case of variable viscosity. The wall of the wedge is embedded in a uniform non-Darcian porous medium in order to allow for possible fluid wall suction or injection. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled nonlinear ordinary differential equations are solved numerically by using the R.K.Gill and shooting methods. The results are presented graphically and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. The results are compared with those known from the literature and excellent agreement between the results is obtained.

Original languageEnglish
Pages (from-to)9-23
Number of pages15
JournalInternational Journal of Applied Mathematics and Statistics
Volume13
Issue numberDO8
Publication statusPublished - 2008

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Thermal stratification
Variable Viscosity
Viscous Dissipation
Convective Heat Transfer
Stratification
Wedge
Viscosity
Heat transfer
Fluids
Ordinary differential equations
Porous materials
Flow fields
Boundary layers
Shooting Method
Similarity Transformation
Suction
Nonlinear Ordinary Differential Equations
Viscous Fluid
Dimensionless
Incompressible Fluid

Keywords

  • Forchheimer number
  • Mixed convection
  • Non-darcy flow
  • Thermal stratification and ohmic heating
  • Variable viscosity

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

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abstract = "The problem of thermal stratification on non-Darcy mixed convective heat transfer of a viscous and incompressible fluid past a porous wedge in the presence of viscous dissipation is analyzed for the case of variable viscosity. The wall of the wedge is embedded in a uniform non-Darcian porous medium in order to allow for possible fluid wall suction or injection. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled nonlinear ordinary differential equations are solved numerically by using the R.K.Gill and shooting methods. The results are presented graphically and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. The results are compared with those known from the literature and excellent agreement between the results is obtained.",
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T1 - Influence of thermal stratification and variable viscosity on non-Darcy mixed convective heat transfer past a porous wedge in the presence of viscous dissipation

AU - Muhaimin,

AU - Kandasamy, R.

AU - Hashim, Ishak

AU - Ruhaila,

PY - 2008

Y1 - 2008

N2 - The problem of thermal stratification on non-Darcy mixed convective heat transfer of a viscous and incompressible fluid past a porous wedge in the presence of viscous dissipation is analyzed for the case of variable viscosity. The wall of the wedge is embedded in a uniform non-Darcian porous medium in order to allow for possible fluid wall suction or injection. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled nonlinear ordinary differential equations are solved numerically by using the R.K.Gill and shooting methods. The results are presented graphically and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. The results are compared with those known from the literature and excellent agreement between the results is obtained.

AB - The problem of thermal stratification on non-Darcy mixed convective heat transfer of a viscous and incompressible fluid past a porous wedge in the presence of viscous dissipation is analyzed for the case of variable viscosity. The wall of the wedge is embedded in a uniform non-Darcian porous medium in order to allow for possible fluid wall suction or injection. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled nonlinear ordinary differential equations are solved numerically by using the R.K.Gill and shooting methods. The results are presented graphically and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. The results are compared with those known from the literature and excellent agreement between the results is obtained.

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