Magnetohydrodynamic flow over a moving plate in a parallel stream with an induced magnetic field

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3 Citations (Scopus)

Abstract

A viscous boundary layer flow of an electrically-conducting fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate was investigated. The governing system of partial differential equations was transformed to ordinary differential equations using a similarity transformation. The similarity equations were then solved numerically using a finite-difference scheme known as the Keller-box method. Numerical results of the skin friction coefficient, velocity profiles, and the induced magnetic field profiles were obtained for some values of the moving parameter, magnetic parameter, and reciprocal magnetic Prandtl number. The results indicate that dual solutions exist when the plate and the fluid move in the opposite irections up to a critical value of the moving parameter, whose value depends on the value of the magnetic parameter.

Original languageEnglish
Pages (from-to)397-402
Number of pages6
JournalInternational Journal of Minerals, Metallurgy and Materials
Volume17
Issue number4
DOIs
Publication statusPublished - Aug 2010

Fingerprint

Magnetohydrodynamics
magnetohydrodynamics
Magnetic fields
magnetic field
Fluids
Skin friction
Boundary layer flow
Prandtl number
Ordinary differential equations
Partial differential equations
Boundary layers
boundary layer
fluid
velocity profile
skin
friction
parameter

Keywords

  • Boundary layer
  • Induced magnetic field
  • Magnetohydrodynamic flow
  • Moving plate

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Chemistry
  • Metals and Alloys

Cite this

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title = "Magnetohydrodynamic flow over a moving plate in a parallel stream with an induced magnetic field",
abstract = "A viscous boundary layer flow of an electrically-conducting fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate was investigated. The governing system of partial differential equations was transformed to ordinary differential equations using a similarity transformation. The similarity equations were then solved numerically using a finite-difference scheme known as the Keller-box method. Numerical results of the skin friction coefficient, velocity profiles, and the induced magnetic field profiles were obtained for some values of the moving parameter, magnetic parameter, and reciprocal magnetic Prandtl number. The results indicate that dual solutions exist when the plate and the fluid move in the opposite irections up to a critical value of the moving parameter, whose value depends on the value of the magnetic parameter.",
keywords = "Boundary layer, Induced magnetic field, Magnetohydrodynamic flow, Moving plate",
author = "Khamisah Jafar and {Mohd. Nazar}, Roslinda and {Mohd Ishak}, Anuar and Ioan Pop",
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T1 - Magnetohydrodynamic flow over a moving plate in a parallel stream with an induced magnetic field

AU - Jafar, Khamisah

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2010/8

Y1 - 2010/8

N2 - A viscous boundary layer flow of an electrically-conducting fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate was investigated. The governing system of partial differential equations was transformed to ordinary differential equations using a similarity transformation. The similarity equations were then solved numerically using a finite-difference scheme known as the Keller-box method. Numerical results of the skin friction coefficient, velocity profiles, and the induced magnetic field profiles were obtained for some values of the moving parameter, magnetic parameter, and reciprocal magnetic Prandtl number. The results indicate that dual solutions exist when the plate and the fluid move in the opposite irections up to a critical value of the moving parameter, whose value depends on the value of the magnetic parameter.

AB - A viscous boundary layer flow of an electrically-conducting fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate was investigated. The governing system of partial differential equations was transformed to ordinary differential equations using a similarity transformation. The similarity equations were then solved numerically using a finite-difference scheme known as the Keller-box method. Numerical results of the skin friction coefficient, velocity profiles, and the induced magnetic field profiles were obtained for some values of the moving parameter, magnetic parameter, and reciprocal magnetic Prandtl number. The results indicate that dual solutions exist when the plate and the fluid move in the opposite irections up to a critical value of the moving parameter, whose value depends on the value of the magnetic parameter.

KW - Boundary layer

KW - Induced magnetic field

KW - Magnetohydrodynamic flow

KW - Moving plate

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