Abstract
A model of the convection zone is presented which matches an empirical model atmosphere (HSRA) and an interior model. A mixing length formalism containing four adjustable parameters is used. Thermodynamical considerations provide limits on two of these parameters. The average temperature-pressure relation depends on two or three combinations of the four parameters. Observational information on the structure of the outermost layers of the convection zone, and the value of the solar radius limit the range of possible parameter combinations. It is shown that in spite of the remaining freedom of choice of the parameters, the mean temperature-pressure relation is fixed well by these data.
The reality of a small density inversion in the HSRA model is investigated. The discrepancy between the present model and a solar model by Mullan (1971) is discussed briefly.
Similar content being viewed by others
References
Abraham, Z. and Iben, I., Jr.: 1971, Astrophys. J. 170, 157.
Bahcall, J. N., Bahcall, N. A., and Ulrich, R. K.: 1969, Astrophys. J. 156, 559.
Baker, N. and Temesvary, S.: 1966, Tables of Convective Stellar Atmospheres, 2nd edition, NASA Institute for Space Studies, New York.
Böhm, K. H.: 1966, Z. Naturforsch. 219, 1107.
Böhm, K. H. and Stückl, E.: 1967, Z. Astrophys. 66, 487.
Cox, J. P. and Giuli, R. T.: 1968, Principles of Stellar Structure, Gordon and Breach, New York.
Cox, A. N. and Stewart, J. N.: 1970, Astrophys. J. Suppl. 19, 243.
Gingerich, O., Noyes, R. W., Kalkofen, W., and Cuny, Y.: 1971, Solar Phys. 18, 347.
Henyey, P., Vardya, M. S., and Bodenheimer, L.: 1965, Astrophys. J. 142, 841.
Kippenhahn, R.: 1963, in L. Gratton (ed.), Proc. Intern. School of Physics ‘Enrico Fermi’, Course 28, Acad. Press, New York, p. 330.
Mihalas, D.: 1967, in B. Alder (ed.), Methods in Computational Physics 7, Acad. Press, New York, p. 15.
Mihalas, D.: 1970, Stellar Atmospheres, Freeman and Co., San Francisco, p. 203.
Mizuno, S. and Nishida, M.: 1969, Publ. Astron. Soc. Japan 21, 121.
Mullan, D. J.: 1971, Monthly Notices Roy. Astron. Soc. 154, 467.
Oster, L.: 1968, Solar Phys. 3, 543.
Peyturaux, R.: 1955, Ann. Astrophys. 18, 34.
Pierce, A. K., McMath, R. R., Goldberg, L., and Mohler, O. C.: 1950, Astrophys. J. 112, 289.
Sears, R. L.: 1964, Astrophys. J. 140, 477.
Spiegel, E. A.: 1963, Astrophys. J. 138, 216.
Travis, L. D. and Matsushima, S.: 1973, Astrophys. J. 180, 975.
Ulrich, R. K.: 1970a, Astrophys. Space Sci. 7, 183.
Ulrich, R. K.: 1970b, Astrophys. Space Sci. 9, 80.
Unno, W.: 1969, Publ. Astron. Soc. Japan 21, 240.
Van der Borght, R.: 1971, Proc. Astron. Soc. Australia 2, 46.
Waters, B. E.: 1971, Proc. Astron. Soc. Australia 2, 48.
Waters, B. E. and Van der Borght, R.: 1972, Proc. Astron. Soc. Australia 2, 92.
Watson, W. P.: 1970, Astrophys. J. 161, 139.
Yun, H. S.: 1968, Ph.D. Thesis, Indiana University, p. 42.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Spruit, H.C. A model of the solar convection zone. Sol Phys 34, 277–290 (1974). https://doi.org/10.1007/BF00153665
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00153665