Dual solutions in mixed convection boundary-layer flow with suction or injection

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14 Citations (Scopus)

Abstract

The effect of suction/injection on the laminar mixed convection boundary-layer flow about a vertical wall in an incompressible viscous fluid is considered. The similarity solutions are obtained for some values of the suction/injection parameter as well as the mixed convection parameter for three particular cases: uniform temperature, uniform heat flux and stagnation flow. The resulting system of non-linear 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 are obtained for the skin friction coefficient and local Nusselt number as well as velocity and temperature profiles. The effects of the involved parameters on the skin friction coefficient and the local Nusselt number characteristics are discussed. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow.

Original languageEnglish
Pages (from-to)451-463
Number of pages13
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume72
Issue number4
DOIs
Publication statusPublished - Aug 2007

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Dual Solutions
Mixed Convection
Mixed convection
Skin friction
Boundary layer flow
Boundary Layer Flow
Suction
Nusselt number
Injection
Skin Friction
Friction Coefficient
Ordinary differential equations
Heat flux
Temperature
Fluids
Similarity Solution
Temperature Profile
Nonlinear Ordinary Differential Equations
Velocity Profile
Heat Flux

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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abstract = "The effect of suction/injection on the laminar mixed convection boundary-layer flow about a vertical wall in an incompressible viscous fluid is considered. The similarity solutions are obtained for some values of the suction/injection parameter as well as the mixed convection parameter for three particular cases: uniform temperature, uniform heat flux and stagnation flow. The resulting system of non-linear 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 are obtained for the skin friction coefficient and local Nusselt number as well as velocity and temperature profiles. The effects of the involved parameters on the skin friction coefficient and the local Nusselt number characteristics are discussed. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow.",
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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 boundary-layer flow with suction or injection

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2007/8

Y1 - 2007/8

N2 - The effect of suction/injection on the laminar mixed convection boundary-layer flow about a vertical wall in an incompressible viscous fluid is considered. The similarity solutions are obtained for some values of the suction/injection parameter as well as the mixed convection parameter for three particular cases: uniform temperature, uniform heat flux and stagnation flow. The resulting system of non-linear 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 are obtained for the skin friction coefficient and local Nusselt number as well as velocity and temperature profiles. The effects of the involved parameters on the skin friction coefficient and the local Nusselt number characteristics are discussed. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow.

AB - The effect of suction/injection on the laminar mixed convection boundary-layer flow about a vertical wall in an incompressible viscous fluid is considered. The similarity solutions are obtained for some values of the suction/injection parameter as well as the mixed convection parameter for three particular cases: uniform temperature, uniform heat flux and stagnation flow. The resulting system of non-linear 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 are obtained for the skin friction coefficient and local Nusselt number as well as velocity and temperature profiles. The effects of the involved parameters on the skin friction coefficient and the local Nusselt number characteristics are discussed. It is found that dual solutions exist for assisting flow, besides that usually reported in the literature for opposing flow.

KW - Boundary layer

KW - Dual solutions

KW - Mixed convection

KW - Suction/injection

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