Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel

A two dimensional magnetic field is suddenly moved at a uniform velocity along a channel of infinite length containing an electrically conducting solid metal with magnetic permeability and magnetic diffusitivity under the assumption of finite Reynolds number. An analytical solution is obtained...

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Main Author: Saad, Mohd Noor
Format: Article
Language:English
English
Published: Institute for Mathematical Research 2009
Online Access:http://psasir.upm.edu.my/id/eprint/12477/1/artikel_7_vol2_no2.pdf
http://psasir.upm.edu.my/id/eprint/12477/
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spelling my.upm.eprints.124772013-05-27T07:52:30Z http://psasir.upm.edu.my/id/eprint/12477/ Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel Saad, Mohd Noor A two dimensional magnetic field is suddenly moved at a uniform velocity along a channel of infinite length containing an electrically conducting solid metal with magnetic permeability and magnetic diffusitivity under the assumption of finite Reynolds number. An analytical solution is obtained for the case of one Fourier-component magnetic field. The numerical scheme is developed with the implementation of the boundary conditions. It is shown that in the steady state the numerical and the analytical results agree well for magnetic Reynolds number in the range of! to 1200. It is found that as magnetic Reynolds number increases the solid metal behaves more and more like a perfect conductor where the field lines are frozen in the moving solid metal Pictures of evolution of field-lines with time are plotted for various times. Institute for Mathematical Research 2009-06 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12477/1/artikel_7_vol2_no2.pdf Saad, Mohd Noor (2009) Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel. Math Digest : Research Bulletin Institute for Mathematical Research, 2 (2). pp. 32-36. ISSN 1985-2436 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description A two dimensional magnetic field is suddenly moved at a uniform velocity along a channel of infinite length containing an electrically conducting solid metal with magnetic permeability and magnetic diffusitivity under the assumption of finite Reynolds number. An analytical solution is obtained for the case of one Fourier-component magnetic field. The numerical scheme is developed with the implementation of the boundary conditions. It is shown that in the steady state the numerical and the analytical results agree well for magnetic Reynolds number in the range of! to 1200. It is found that as magnetic Reynolds number increases the solid metal behaves more and more like a perfect conductor where the field lines are frozen in the moving solid metal Pictures of evolution of field-lines with time are plotted for various times.
format Article
author Saad, Mohd Noor
spellingShingle Saad, Mohd Noor
Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel
author_facet Saad, Mohd Noor
author_sort Saad, Mohd Noor
title Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel
title_short Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel
title_full Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel
title_fullStr Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel
title_full_unstemmed Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel
title_sort solid conductor in a magnetic field that moves at a uniform velocity along a channel
publisher Institute for Mathematical Research
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/12477/1/artikel_7_vol2_no2.pdf
http://psasir.upm.edu.my/id/eprint/12477/
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score 13.209306