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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| Format: | Article |
| Language: | English English |
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Institute for Mathematical Research
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12477/1/artikel_7_vol2_no2.pdf |
| _version_ | 1825945058835169280 |
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| author | Saad, Mohd Noor |
| author_facet | Saad, Mohd Noor |
| author_sort | Saad, Mohd Noor |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T07:25:36Z |
| format | Article |
| id | upm.eprints-12477 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:25:36Z |
| publishDate | 2009 |
| publisher | Institute for Mathematical Research |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Saad, Mohd Noor Solid Conductor in a Magnetic Field That Moves at a Uniform Velocity along a Channel |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/12477/1/artikel_7_vol2_no2.pdf |
| work_keys_str_mv | AT saadmohdnoor solidconductorinamagneticfieldthatmovesatauniformvelocityalongachannel |