Abstract
A method coupling the hydrodynamical equations and radiative transfer in a realistic solar model atmosphere is described. The influence of the temperature gradient of the model and the radiative dissipation is pointed out.
The effect of the large temperature gradient is important in the layers where the optical depth τ5000 is greater than 0.5; the ratio between the amplitude of the temperature and the velocity fluctuations decreases with the altitude by a factor 2 between τ = 1 and τ = 0.5 and in the case of the acoustic waves, the phase shift between these fluctuations is small.
The radiative energy loss in the thick layers (τ 5000 = 1) leads to a decrease of the vertical phase velocity of the waves and to a damping of their amplitudes in the layers of intermediate optical depth (10-2 < τ5000 < 0.5). The effect of the dissipation is negligible in the thin layers (τ5000 < 10-2).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ando, H. and Osaki, Y.: 1975, Publ. Astron. Soc. Japan 27, 581.
Ando, H. and Osaki, Y.: 1977, Publ. Astron. Soc. Japan (to be published).
Chiuderi, C. and Giovanardi, C.: 1975, Solar Phys. 41, 35.
Eckart, C.: 1960, Hydrodynamics of Oceans and Atmospheres, Pergamon Press.
Fossat, E. and Ricort, G.: 1975, Astron. Astrophys. 43, 243.
Gingerich, O., Noyes, R. W., and Kalkofen, W.: 1971, Solar Phys. 18, 347.
Gonczi, G., Mangeney, A., and Souffrin, P.: 1977, Astron. Astrophys. (to be published).
Kalkofen, W. and Ulmschneider, P.: 1977, Astron. Astrophys. 57, 193.
Leibacher, J. and Stein, R. F.: 1971, Astrophys. Letters 7, 191.
Leighton, R. B., Noyes, R. W., and Simon, G. W.: 1962, Astrophys. J. 135, 474.
Noyes, R. W. and Leighton, R. B.: 1963, Astrophys. J. 138, 631.
Mein, P.: 1971, Solar Phys. 20, 3.
Mein, N. and Mein, P.: 1976, Solar Phys. 49, 231.
Müller, E. A. and Mutschlecner, J. P.: 1964, Astrophys. J. Suppl. 9, 85, 1.
Pineau des Forêts, G. and Flower, D.: 1976, Astron. Astrophys. 52, 191.
Provost, J.: 1976, Astron. Astrophys. 46, 159.
Souffrin, P.: 1966, Ann. Astrophys. 29, 55.
Schmieder, B.: 1976, Solar Phys. 47, 435.
Spiegel, E. A.: 1957, Astrophys. J. 126, 202.
Stix, M.: 1970, Ann. Astrophys. 4, 189.
Ulmschneider, P. and Kalkofen, W.: 1977, Astron. Astrophys. 57, 199.
Ulmschneider, P., Kalkofen, W., Nowak, T., and Böhn, U.: 1977, Astron. Astrophys. 54, 61.
Ulrich, R. K.: 1970, Astrophys. J. 1962, 993.
Unno, W. and Spiegel, E. A.: 1966, Publ. Astron. Soc. Japan 18, 85.
Warner, B.: 1964, Monthly Notices Roy. Astron. Soc. 127, 413.
Whitney, C.: 1963, Astrophys. J. 138, 537.
Wolff, C.: 1972, Astrophys. Letters 177, L87.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schmieder, B. Linear hydrodynamical equations coupled with radiative transfer in a non-isothermal atmosphere. Sol Phys 54, 269–288 (1977). https://doi.org/10.1007/BF00159919
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00159919