Abstract
Many coronal heating mechanisms have been suggested to balance the losses from this tenuous medium by radiation, conduction, and plasma mass flows. A previous paper (Walsh, Bell, and Hood, 1995) considered a time-dependent heating supply where the plasma evolved isobarically along the loop length. The validity of this assumption is investigated by including the inertial terms in the fluid equations making it necessary to track the sound waves propagating in a coronal loop structure due to changes in the heating rate with time. It is found that the temperature changes along the loop are mainly governed by the variations in the heating so that the thermal evolution can be approximated to a high degree by the simple isobaric case. A typical isobaric evolution of the plasma properties is reproduced when the acoustic time scale is short enough. However, the cooling of a hot temperature equilibrium to a cool one creates supersonic flows which are not allowed for in this model.
Similar content being viewed by others
References
Braginsky, S. I.: 1965, Rev. Plasma Phys. 1, 205.
Cargill, P. J. and Priest, E. R.: 1980, Solar Phys. 60, 251.
Cook, J. W., Cheng, C.-C., Jacobs, V. L., and Antiochos, S. K.: 1989, Astrophys. J. 338, 1176.
Montesinos, B. and Thomas, J. H.: 1989, Astrophys. J. 337, 977.
Narain, U. and Ulmschneider, P.: 1990, Space Sci. Rev. 54, 337.
Narain, U. and Ulmschneider, P.: 1996, Space Sci. Rev. 75, 453.
Orlando, S., Peres, G., and Serio, S.: 1995, Astron. Astrophys. 300, 549.
Parker, E. N.: 1987, Coronal and Prominence Plasmas, NASA Conference Publication 2442, p. 9.
Robb, T. D. and Cally, P. S.: 1992, Astrophys. J. 397, 329.
Spitzer, L.: 1962, Physics of Fully Ionized Gases, Interscience, New York.
Strong, K. T.: 1994, Proc. of Kofu Symposium, NRO Report No. 360, p. 53.
Walsh, R. W.: 1995, PhD Thesis, University of St. Andrews.
Walsh, R. W, Bell, G. E., and Hood, A. W: 1995, Solar Phys. 161, 83.
Wright, A. N. and Rickard, G. J.: 1995, Astrophys. J. 444, 458.
Zirker, J. B.: 1993, Solar Phys. 148, 43.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Walsh, R.W., Bell, G.E. & Hood, A.W. Validity of the isobaric assumption to the solar corona. Sol Phys 169, 33–45 (1996). https://doi.org/10.1007/BF00153831
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00153831