MHD mixed convection stagnation point flow of an upper convected maxwell fluid on a vertical surface with an induced magnetic field

Khamisah Jafar, Roslinda Mohd. Nazar, Anuar Mohd Ishak, I. Pop

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2 Citations (Scopus)

Abstract

The present analysis considers the steady laminar magnetohydrodynamic (MHD) mixed convection flow of an electrically conducting upper convected Maxwell fluid near the stagnation point on a semi-infinite vertical flat plate with a variable magnetic field H applied parallel to and far away from the plate. Using a similarity transformation, the governing system of partial differential equations is first transformed to a system of ordinary differential equations, which is then solved numerically using an implicit finite-difference scheme known as the Keller-box method. Numerical results are obtained for the velocity and temperature profiles as well as for the skin friction coefficient and local Nusselt number, for various values of the mixed convection parameter λ, magnetic parameter M, elastic parameter (Deborah number) K, reciprocal magnetic Prandtl number γ and the Prandtl number Pr. The effects of these parameters on the momentum and thermal boundary layer characteristics and the induced magnetic field are also included into the analysis. The results indicate the existence of dual solutions for all values of λ for the buoyancy assisting flow, and up to a critical λc for the buoyancy opposing flow. The critical value λc depends on the value of the magnetic parameter M as well as the elastic parameter K. A reduction of both the skin friction coefficient f″(0) and the local Nusselt number -Θ'(0) with the increase of the magnetic parameter M is observed for the buoyancy assisting flows.

Original languageEnglish
Pages (from-to)61-78
Number of pages18
JournalMagnetohydrodynamics
Volume47
Issue number1
Publication statusPublished - 2011

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Maxwell fluids
Mixed convection
stagnation point
Magnetohydrodynamics
Buoyancy
magnetohydrodynamics
convection
Skin friction
Prandtl number
Magnetic fields
Nusselt number
Fluids
magnetic fields
buoyancy
skin friction
Ordinary differential equations
Partial differential equations
Momentum
Boundary layers
coefficient of friction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Physics and Astronomy(all)

Cite this

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abstract = "The present analysis considers the steady laminar magnetohydrodynamic (MHD) mixed convection flow of an electrically conducting upper convected Maxwell fluid near the stagnation point on a semi-infinite vertical flat plate with a variable magnetic field H applied parallel to and far away from the plate. Using a similarity transformation, the governing system of partial differential equations is first transformed to a system of ordinary differential equations, which is then solved numerically using an implicit finite-difference scheme known as the Keller-box method. Numerical results are obtained for the velocity and temperature profiles as well as for the skin friction coefficient and local Nusselt number, for various values of the mixed convection parameter λ, magnetic parameter M, elastic parameter (Deborah number) K, reciprocal magnetic Prandtl number γ and the Prandtl number Pr. The effects of these parameters on the momentum and thermal boundary layer characteristics and the induced magnetic field are also included into the analysis. The results indicate the existence of dual solutions for all values of λ for the buoyancy assisting flow, and up to a critical λc for the buoyancy opposing flow. The critical value λc depends on the value of the magnetic parameter M as well as the elastic parameter K. A reduction of both the skin friction coefficient f″(0) and the local Nusselt number -Θ'(0) with the increase of the magnetic parameter M is observed for the buoyancy assisting flows.",
author = "Khamisah Jafar and {Mohd. Nazar}, Roslinda and {Mohd Ishak}, Anuar and I. Pop",
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T1 - MHD mixed convection stagnation point flow of an upper convected maxwell fluid on a vertical surface with an induced magnetic field

AU - Jafar, Khamisah

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Pop, I.

PY - 2011

Y1 - 2011

N2 - The present analysis considers the steady laminar magnetohydrodynamic (MHD) mixed convection flow of an electrically conducting upper convected Maxwell fluid near the stagnation point on a semi-infinite vertical flat plate with a variable magnetic field H applied parallel to and far away from the plate. Using a similarity transformation, the governing system of partial differential equations is first transformed to a system of ordinary differential equations, which is then solved numerically using an implicit finite-difference scheme known as the Keller-box method. Numerical results are obtained for the velocity and temperature profiles as well as for the skin friction coefficient and local Nusselt number, for various values of the mixed convection parameter λ, magnetic parameter M, elastic parameter (Deborah number) K, reciprocal magnetic Prandtl number γ and the Prandtl number Pr. The effects of these parameters on the momentum and thermal boundary layer characteristics and the induced magnetic field are also included into the analysis. The results indicate the existence of dual solutions for all values of λ for the buoyancy assisting flow, and up to a critical λc for the buoyancy opposing flow. The critical value λc depends on the value of the magnetic parameter M as well as the elastic parameter K. A reduction of both the skin friction coefficient f″(0) and the local Nusselt number -Θ'(0) with the increase of the magnetic parameter M is observed for the buoyancy assisting flows.

AB - The present analysis considers the steady laminar magnetohydrodynamic (MHD) mixed convection flow of an electrically conducting upper convected Maxwell fluid near the stagnation point on a semi-infinite vertical flat plate with a variable magnetic field H applied parallel to and far away from the plate. Using a similarity transformation, the governing system of partial differential equations is first transformed to a system of ordinary differential equations, which is then solved numerically using an implicit finite-difference scheme known as the Keller-box method. Numerical results are obtained for the velocity and temperature profiles as well as for the skin friction coefficient and local Nusselt number, for various values of the mixed convection parameter λ, magnetic parameter M, elastic parameter (Deborah number) K, reciprocal magnetic Prandtl number γ and the Prandtl number Pr. The effects of these parameters on the momentum and thermal boundary layer characteristics and the induced magnetic field are also included into the analysis. The results indicate the existence of dual solutions for all values of λ for the buoyancy assisting flow, and up to a critical λc for the buoyancy opposing flow. The critical value λc depends on the value of the magnetic parameter M as well as the elastic parameter K. A reduction of both the skin friction coefficient f″(0) and the local Nusselt number -Θ'(0) with the increase of the magnetic parameter M is observed for the buoyancy assisting flows.

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