Evolution of magnetohydrodynamic waves in a homogeneous isothermal medium

Astrophysics ◽  
1982 ◽  
Vol 17 (2) ◽  
pp. 183-193
Author(s):  
G. S. Bisnovatyi-Kogan ◽  
S. B. Popov ◽  
Yu. P. Popov
2002 ◽  
Vol 29 (6) ◽  
pp. 341-348 ◽  
Author(s):  
Hadi Alkahby ◽  
Andrew Talmadge ◽  
Abraham Jalbout

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.


1994 ◽  
Vol 144 ◽  
pp. 503-505
Author(s):  
R. Erdélyi ◽  
M. Goossens ◽  
S. Poedts

AbstractThe stationary state of resonant absorption of linear, MHD waves in cylindrical magnetic flux tubes is studied in viscous, compressible MHD with a numerical code using finite element discretization. The full viscosity tensor with the five viscosity coefficients as given by Braginskii is included in the analysis. Our computations reproduce the absorption rates obtained by Lou in scalar viscous MHD and Goossens and Poedts in resistive MHD, which guarantee the numerical accuracy of the tensorial viscous MHD code.


2006 ◽  
Vol 640 (2) ◽  
pp. 1005-1017 ◽  
Author(s):  
T. K. Suzuki ◽  
H. Yan ◽  
A. Lazarian ◽  
J. P. Cassinelli

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