On the coronal heating mechanism by the resonant absorption of Alfven waves
In this paper, we will investigate the heating of the solar corona by the resonant absorption of Alfven waves in a viscous and isothermal atmosphere permeated by a horizontal magnetic field. It is shown that if the viscosity dominates the motion in a high (low)- β plasma, it creates an absorbing and...
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| Format: | Article |
| Language: | English |
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Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171293001012 |
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| author | H. Y. Alkahby |
| author_facet | H. Y. Alkahby |
| author_sort | H. Y. Alkahby |
| collection | DOAJ |
| description | In this paper, we will investigate the heating of the solar corona by the resonant
absorption of Alfven waves in a viscous and isothermal atmosphere permeated by a horizontal
magnetic field. It is shown that if the viscosity dominates the motion in a high (low)- β plasma,
it creates an absorbing and reflecting layer and the heating process is acoustic (magnetoacoustic).
When the magnetic field dominates the oscillatory process it creates a non-absorbing reflecting
layer. Consequently, the heating process is magnetohydrodynamic. An equation for resonance is
derived. It shows that resonances may occur for many values of the frequency and of the
magnetic field if the wavelength is matched with the strength of the magnetic field. At the
resonance frequencies, magnetic and kinetic energies will increase to very large values which may
account for the heating process. When the motion is dominated by the combined effects of the
viscosity and the magnetic field, the nature of the reflecting layer and the magnitude of the
reflection coefficient depend on the relative strengths of the magnetic field and the viscosity. |
| format | Article |
| id | doaj-art-eaa22fa4748946828c9c007718cba470 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-eaa22fa4748946828c9c007718cba4702025-08-20T03:20:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116481181610.1155/S0161171293001012On the coronal heating mechanism by the resonant absorption of Alfven wavesH. Y. Alkahby0Department of Mathematics and Computer Science, Adelphi University, Garden City 11530, NY, USAIn this paper, we will investigate the heating of the solar corona by the resonant absorption of Alfven waves in a viscous and isothermal atmosphere permeated by a horizontal magnetic field. It is shown that if the viscosity dominates the motion in a high (low)- β plasma, it creates an absorbing and reflecting layer and the heating process is acoustic (magnetoacoustic). When the magnetic field dominates the oscillatory process it creates a non-absorbing reflecting layer. Consequently, the heating process is magnetohydrodynamic. An equation for resonance is derived. It shows that resonances may occur for many values of the frequency and of the magnetic field if the wavelength is matched with the strength of the magnetic field. At the resonance frequencies, magnetic and kinetic energies will increase to very large values which may account for the heating process. When the motion is dominated by the combined effects of the viscosity and the magnetic field, the nature of the reflecting layer and the magnitude of the reflection coefficient depend on the relative strengths of the magnetic field and the viscosity.http://dx.doi.org/10.1155/S0161171293001012Alfven wavesmagnetohydrodynamicresonanceacoustic. |
| spellingShingle | H. Y. Alkahby On the coronal heating mechanism by the resonant absorption of Alfven waves International Journal of Mathematics and Mathematical Sciences Alfven waves magnetohydrodynamic resonance acoustic. |
| title | On the coronal heating mechanism by the resonant absorption of Alfven waves |
| title_full | On the coronal heating mechanism by the resonant absorption of Alfven waves |
| title_fullStr | On the coronal heating mechanism by the resonant absorption of Alfven waves |
| title_full_unstemmed | On the coronal heating mechanism by the resonant absorption of Alfven waves |
| title_short | On the coronal heating mechanism by the resonant absorption of Alfven waves |
| title_sort | on the coronal heating mechanism by the resonant absorption of alfven waves |
| topic | Alfven waves magnetohydrodynamic resonance acoustic. |
| url | http://dx.doi.org/10.1155/S0161171293001012 |
| work_keys_str_mv | AT hyalkahby onthecoronalheatingmechanismbytheresonantabsorptionofalfvenwaves |