Time Dependent Convection in Stars — a Review of the Theories

Conference paper


Theories that have been proposed to describe thermal convection in a moving atmosphere are described and compared. Most of them are time dependent variations of mixing-length theory and most are found to be quite closely related. The differences and similarities are noted. A brief account of the applications to pulsating-star problems is given.


Convection Zone Boussinesq Equation Boussinesq Approximation Convective Heat Flux Turbulent Pressure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Baker, N.H., and Gough, D.O. 1979, Astrophys. J., 234, 232.ADSCrossRefGoogle Scholar
  2. Baker, N.H., and Kippenhahn, R. 1965, Astrophys. J., 142, 868.ADSCrossRefGoogle Scholar
  3. Böhm-Vitense, E. 1958, Zs. f. Astrophys., 66, 487.Google Scholar
  4. Castor, J. 1968, unpublished.Google Scholar
  5. Castor, J. 1971, Astrophys. J., 166, 109.ADSCrossRefGoogle Scholar
  6. Cox, A.N., Starrfield, S.G., Kidman, R.B, and Pesnell, W.D. 1986, Astrophys. J. (submitted).Google Scholar
  7. Christensen-Dalsgaard, J. 1982, Mon. Not. Roy. Astr. Soc., 199, 735.ADSGoogle Scholar
  8. Deupree, R.G. 1977a, Astrophys. J., 211, 509.ADSCrossRefGoogle Scholar
  9. Deupree, R.G. 1977b, Astrophys. J., 214, 502.ADSCrossRefGoogle Scholar
  10. Deupree, R.G. 1977c, Astrophys. J., 215, 232.ADSCrossRefGoogle Scholar
  11. Deupree, R.G. 1984, Astrophys. J., 282, 274.ADSCrossRefGoogle Scholar
  12. Gonczi, G. 1982a, Astron. Astrophys., 110, 1.ADSGoogle Scholar
  13. Gonczi, G.: 1982b, in Pulsations in Classical and Cataclysmic Variable Stars, eds. J.P. Cox and C.J, Hansen ( Boulder, JILA ), p. 206.Google Scholar
  14. Gonczi, G., and Osaki, Y. 1980, Astron. Astrophys., 84, 304.ADSGoogle Scholar
  15. Gough, D.O. 1965, Geophys. Fluid Dynamics, Voll. 2, ( Woods Hole, Mass.: Woods Hole Oceanographic Institution ), p. 49.Google Scholar
  16. Gough, D.O. 1967, Astron. J., 72, 799.CrossRefGoogle Scholar
  17. Gough, D.O. 1969, J. Atmos. Sci., 26, 448.ADSCrossRefGoogle Scholar
  18. Gough, D.O. 1977a, Astrophys. J., 214, 196.ADSCrossRefGoogle Scholar
  19. Gough, D.O. 1977b, in Problems of Stellar Convection, eds. E.A. Spiegel and J.-P. Zahn ( Berlin: Springer-Verlag ) p. 15.Google Scholar
  20. Gough, D.O., and Weiss, N.O. 1976, Mon. Not. Roy. Astr. Soc., 176, 589.ADSGoogle Scholar
  21. Hurlburt, N.E., Toomre, J., and Massaguer, J.M. 1986, Astrophys. J. (in press).Google Scholar
  22. Kuhfuss, R. 1986a, Astron. Astrophys., 160, 116.ADSzbMATHGoogle Scholar
  23. Kuhfuss, R. 1986b, in Proc. Second Recontre on Nuclear Astrophysics, ed. J. Audouze (Paris ) (submitted).Google Scholar
  24. Marcus, P.S., Press, W.H., and Teukolsky, S.A. 1983, Astrophys. J., 267, 795.MathSciNetADSCrossRefGoogle Scholar
  25. Shaviv, G., and Salpeter, E.E. 1973, Astrophys. J., 184, 191.ADSCrossRefGoogle Scholar
  26. Spiegel, E.A. 1963, Astrophys. J., 138, 216.MathSciNetADSzbMATHCrossRefGoogle Scholar
  27. Spiegel, E.A., and Veronis, G. 1960, Astrophys. J., 131, 442 (correction: 135, 665 ).ADSGoogle Scholar
  28. Toomre, J. 1982 in Pulsations in Classical and Cataclysmic Variable Stars, eds. J.P. Cox and C.J. Hansen ( Boulder, JILA ), p. 170.Google Scholar
  29. Unno, W. 1967, Publ. Astr. Soc. Japan, 19, 140.ADSGoogle Scholar
  30. Unno, W. 1977, in Problems of Stellar Convection, eds. E.A. Spiegel and J.-P. Zahn ( Berlin: Springer-Verlag ) p. 315.Google Scholar
  31. Unno. W., Osaki, Y., Ando, H., and Shibahashi, H. 1979, Nonradial Oscillations of Stars ( Tokyo: Univ. Tokyo Press) §§ 12, 23.Google Scholar
  32. Xiong, Da-run 1977, Acta Astron. Sinica, 18, 86 [Engl, trans, in Chinese Astronomy, 2, 118 (1978)].Google Scholar
  33. Xiong, Da-run. 1979, Acta Astron. Sinica, 20, 238 [Engl, trans, in Chinese Astronomy, 4, 234 (1980)].Google Scholar
  34. Xiong, Da-run. 1980, Scientia Sinica, 23, 1139.Google Scholar
  35. Xiong, Da-run. 1981, Scientia Sinica, 24, 1406.MathSciNetGoogle Scholar
  36. Xiong, Da-run. 1985, Astron. Astrophys., 150, 133.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  1. 1.Institut für AstrophysikMax-Planck-Institut für Physik und AstrophysikGarchingFed. Rep. of Germany
  2. 2.Department of AstronomyColumbia UniversityNew YorkUSA

Personalised recommendations