Similarity solutions for mixed convection boundary layer flow over a permeable horizontal flat plate

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13 Citations (Scopus)

Abstract

The effects of suction and injection on steady laminar mixed convection boundary layer flow over a permeable horizontal flat plate in a viscous and incompressible fluid is investigated in this paper. The similarity solutions of the governing boundary layer equations are obtained for some values of the suction and injection parameter f0, the constant exponent n of the wall temperature as well as the mixed convection parameter λ. The resulting system of nonlinear ordinary differential equations is solved numerically for both assisting and opposing flow regimes using a finite-difference scheme known as the Keller-box method. Numerical results for the reduced skin friction coefficient, the reduced local Nusselt number, and the velocity and temperature profiles are obtained for various values of the parameters considered. Dual solutions are found to exist for the opposing flow.

Original languageEnglish
Pages (from-to)2619-2630
Number of pages12
JournalApplied Mathematics and Computation
Volume217
Issue number6
DOIs
Publication statusPublished - 15 Nov 2010

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Mixed Convection
Mixed convection
Similarity Solution
Boundary layer flow
Boundary Layer Flow
Flat Plate
Horizontal
Suction
Skin friction
Injection
Nusselt number
Ordinary differential equations
Dual Solutions
Boundary layers
Skin Friction
Temperature Profile
Friction Coefficient
Nonlinear Ordinary Differential Equations
Velocity Profile
Finite Difference Scheme

Keywords

  • Boundary layer
  • Horizontal plate
  • Mixed convection
  • Similarity solutions
  • Suction and injection

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

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title = "Similarity solutions for mixed convection boundary layer flow over a permeable horizontal flat plate",
abstract = "The effects of suction and injection on steady laminar mixed convection boundary layer flow over a permeable horizontal flat plate in a viscous and incompressible fluid is investigated in this paper. The similarity solutions of the governing boundary layer equations are obtained for some values of the suction and injection parameter f0, the constant exponent n of the wall temperature as well as the mixed convection parameter λ. The resulting system of nonlinear ordinary differential equations is solved numerically for both assisting and opposing flow regimes using a finite-difference scheme known as the Keller-box method. Numerical results for the reduced skin friction coefficient, the reduced local Nusselt number, and the velocity and temperature profiles are obtained for various values of the parameters considered. Dual solutions are found to exist for the opposing flow.",
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T1 - Similarity solutions for mixed convection boundary layer flow over a permeable horizontal flat plate

AU - Deswita, L.

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Ahmad, Rokiah @ Rozita

AU - Pop, I.

PY - 2010/11/15

Y1 - 2010/11/15

N2 - The effects of suction and injection on steady laminar mixed convection boundary layer flow over a permeable horizontal flat plate in a viscous and incompressible fluid is investigated in this paper. The similarity solutions of the governing boundary layer equations are obtained for some values of the suction and injection parameter f0, the constant exponent n of the wall temperature as well as the mixed convection parameter λ. The resulting system of nonlinear ordinary differential equations is solved numerically for both assisting and opposing flow regimes using a finite-difference scheme known as the Keller-box method. Numerical results for the reduced skin friction coefficient, the reduced local Nusselt number, and the velocity and temperature profiles are obtained for various values of the parameters considered. Dual solutions are found to exist for the opposing flow.

AB - The effects of suction and injection on steady laminar mixed convection boundary layer flow over a permeable horizontal flat plate in a viscous and incompressible fluid is investigated in this paper. The similarity solutions of the governing boundary layer equations are obtained for some values of the suction and injection parameter f0, the constant exponent n of the wall temperature as well as the mixed convection parameter λ. The resulting system of nonlinear ordinary differential equations is solved numerically for both assisting and opposing flow regimes using a finite-difference scheme known as the Keller-box method. Numerical results for the reduced skin friction coefficient, the reduced local Nusselt number, and the velocity and temperature profiles are obtained for various values of the parameters considered. Dual solutions are found to exist for the opposing flow.

KW - Boundary layer

KW - Horizontal plate

KW - Mixed convection

KW - Similarity solutions

KW - Suction and injection

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