Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium
We investigate the effect of the heat radiation on the reflection and dissipation of upward propagating waves in an isothermal atmosphere. It is shown that the magnetic field produces a totally reflecting layer. Consequently, the atmosphere can be divided into two distinct regions. In the lower regi...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007469 |
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| author | Hadi Alkahby Andrew Talmadge Abraham Jalbout |
| author_facet | Hadi Alkahby Andrew Talmadge Abraham Jalbout |
| author_sort | Hadi Alkahby |
| collection | DOAJ |
| description | We investigate the effect of the heat radiation on the reflection
and dissipation of upward propagating waves in an isothermal
atmosphere. It is shown that the magnetic field produces a
totally reflecting layer. Consequently, the atmosphere can be
divided into two distinct regions. In the lower region, the
solution can be written as a linear combination of an upward and
a downward propagating wave, and in the upper region the
solution, which satisfies the upper boundary condition, decays
exponentially or behaves like a constant. These two regions are
connected by a region in which the reflection and
transmission of the waves takes place. Moreover, the heat
radiation affects only the lower region and changes the sound
speed from the adiabatic value to the isothermal one. The
reflection coefficient and the attenuation factor of the
amplitude of the waves are derived for all values of the heat
radiation coefficient. Finally, the conclusions are presented in
connection with the heating process of the solar atmosphere. |
| format | Article |
| id | doaj-art-06ccbab138994cb6ba780fd81163f5e2 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-06ccbab138994cb6ba780fd81163f5e22025-08-20T02:02:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129634134810.1155/S0161171202007469Effect of the radiative damping on magnetohydrodynamic waves in an isothermal mediumHadi Alkahby0Andrew Talmadge1Abraham Jalbout2Department of Mathematics, Dillard University, New Orleans 70122, LA, USADepartment of Mathematics, Dillard University, New Orleans 70122, LA, USADepartment of Chemistry, University of New Orleans, New Orleans 70148, LA, USAWe investigate the effect of the heat radiation on the reflection and dissipation of upward propagating waves in an isothermal atmosphere. It is shown that the magnetic field produces a totally reflecting layer. Consequently, the atmosphere can be divided into two distinct regions. In the lower region, the solution can be written as a linear combination of an upward and a downward propagating wave, and in the upper region the solution, which satisfies the upper boundary condition, decays exponentially or behaves like a constant. These two regions are connected by a region in which the reflection and transmission of the waves takes place. Moreover, the heat radiation affects only the lower region and changes the sound speed from the adiabatic value to the isothermal one. The reflection coefficient and the attenuation factor of the amplitude of the waves are derived for all values of the heat radiation coefficient. Finally, the conclusions are presented in connection with the heating process of the solar atmosphere.http://dx.doi.org/10.1155/S0161171202007469 |
| spellingShingle | Hadi Alkahby Andrew Talmadge Abraham Jalbout Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium International Journal of Mathematics and Mathematical Sciences |
| title | Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium |
| title_full | Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium |
| title_fullStr | Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium |
| title_full_unstemmed | Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium |
| title_short | Effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium |
| title_sort | effect of the radiative damping on magnetohydrodynamic waves in an isothermal medium |
| url | http://dx.doi.org/10.1155/S0161171202007469 |
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