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: | |
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| Format: | Article |
| Language: | English English |
| Published: |
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 http://psasir.upm.edu.my/id/eprint/12477/ |
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| Summary: | 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. |
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