MHD boundary layer flow due to a moving wedge in a parallel streamwith the induced magnetic field

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Abstract

The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number á and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value λc of the moving parameter λ, whose value depends on the values of S and β.

Original languageEnglish
Article number20
JournalBoundary Value Problems
Volume2013
DOIs
Publication statusPublished - 2013

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Magnetohydrodynamic Flow
Boundary Layer Flow
Wedge
Magnetic Field
Fluid
Skin Friction
Similarity Transformation
Prandtl number
Friction Coefficient
Multiple Solutions
Systems of Partial Differential Equations
Laminar Flow
Velocity Profile
Two-point Boundary Value Problem
System of Ordinary Differential Equations
Finite Difference Scheme
Critical value
Boundary Layer
Numerical Results

Keywords

  • Boundary layer
  • Induced magnetic field
  • Magnetohydrodynamic
  • Moving wedge

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis

Cite this

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title = "MHD boundary layer flow due to a moving wedge in a parallel streamwith the induced magnetic field",
abstract = "The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number {\'a} and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value λc of the moving parameter λ, whose value depends on the values of S and β.",
keywords = "Boundary layer, Induced magnetic field, Magnetohydrodynamic, Moving wedge",
author = "Khamisah Jafar and {Mohd. Nazar}, Roslinda and {Mohd Ishak}, Anuar and Ioan Pop",
year = "2013",
doi = "10.1186/1687-2770-2013-20",
language = "English",
volume = "2013",
journal = "Boundary Value Problems",
issn = "1687-2762",
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TY - JOUR

T1 - MHD boundary layer flow due to a moving wedge in a parallel streamwith the induced magnetic field

AU - Jafar, Khamisah

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2013

Y1 - 2013

N2 - The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number á and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value λc of the moving parameter λ, whose value depends on the values of S and β.

AB - The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number á and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value λc of the moving parameter λ, whose value depends on the values of S and β.

KW - Boundary layer

KW - Induced magnetic field

KW - Magnetohydrodynamic

KW - Moving wedge

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