Table of Contents
ISRN Astronomy and Astrophysics
Volume 2012 (2012), Article ID 987275, 10 pages
http://dx.doi.org/10.5402/2012/987275
Research Article

On Estimating Fluxes due to Small-Scale Turbulent Convection in a Rotating Star

Institute of Astronomy & Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

Received 30 November 2011; Accepted 15 January 2012

Academic Editors: R. Avila and S. Bogovalov

Copyright © 2012 D. O. Gough. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. A. Spiegel and G. Veronis, “On the Boussinesq approximation for a compressible fluid,” Astrophysical Journal, vol. 131, p. 442, 1960, correction: vol. 135, p. 665. View at Publisher · View at Google Scholar
  2. E. Böhm-Vitense, “Über die wasserstoffkonvektionszone in sternen verschiedener und effektivtemperaturen und leuchtkräfte,” Zeitschrift für Astrophysik, vol. 46, pp. 108–143, 1958. View at Google Scholar
  3. W. Unno, “Stellar radial pulsation coupled with the convection,” Publications of the Astronomical Society of Japan, vol. 19, p. 140, 1967. View at Google Scholar
  4. J. P. Cox, Principles of Stellar Structure, Gordon & Breach, London, UK, 1967.
  5. R. Kippenhahn and A. Weigert, Stellar Structure and Evolution, Springer, Berlin, Germany, 1990.
  6. D. O. Gough, “Mixing-length theory for pulsating stars,” Astrophysical Journal, vol. 214, no. 1, pp. 196–213, 1977. View at Google Scholar
  7. D. O. Gough and N. O. Weiss, “The calibration of stellar convection theories,” Monthly Notices of the Royal Astronomical Society, vol. 176, pp. 589–607, 1976. View at Google Scholar
  8. J. Christensen-Dalsgaard, W. Däppen, S. V. Ajukov et al., “The current state of solar modeling,” Science, vol. 272, no. 5266, pp. 1286–1292, 1996. View at Google Scholar
  9. B. R. Durney, “On the constancy along cylinders of the angular velocity in the solar convection zone,” Astrophysical Journal, vol. 204, no. 1, pp. 589–596, 1976. View at Publisher · View at Google Scholar
  10. R. Kippenhahn, “Differential rotation in stars with convective envelopes,” Astrophysical Journal, vol. 137, p. 664, 1963. View at Publisher · View at Google Scholar
  11. E. A. Spiegel and J.-P. Zahn, “The solar tachocline,” Astronomy and Astrophysics, vol. 265, no. 1, pp. 106–114, 1992. View at Google Scholar
  12. J. Wasiutyński, “Studies in hydrodynamics and structure of stars and planets,” Astrophisica Norvegica, vol. 4, 1946. View at Google Scholar
  13. W. J. Cocke, “On the solar differential rotation and meridional currents,” Astrophysical Journal, vol. 150, p. 1041, 1967. View at Publisher · View at Google Scholar
  14. D. O. Gough, “The pulsational stability of a convective atmosphere,” in Geophysical Fluid Dynamics II, pp. 49–84, Woods Hole Oceanographic Institution, 1965. View at Google Scholar
  15. D. O. Gough, “The estimation of fluxes due to small-scale turbulence,” in Proceedings of the Workshop on Solar Rotation, G. Belvedere and L. Paternò, Eds., pp. 337–350, Università di Catania, Catania, Italy, 1978.
  16. B. R. Durney and H. C. Spruit, “On the dynamics of stellar convection zones —the effect of rotation on the turbulent viscosity and conductivity,” Astrophysical Journal, vol. 234, pp. 1067–1078, 1979. View at Publisher · View at Google Scholar
  17. G. Rüdiger, P. Egorov, L. L. Kitchatinov, and M. Küker, “The eddy heat-flux in rotating turbulent convection,” Astronomy and Astrophysics, vol. 431, no. 1, pp. 345–352, 2005. View at Publisher · View at Google Scholar
  18. D. O. Gough, “The current state of stellar mixing-length theory,” in Proceedings of the International Astronomical Union Colloquium, E. A. Spiegel and J.-P. Zahn, Eds., pp. 15–56, Springer, Heidelberg, Germany, 1977.
  19. P. Ledoux, M. Schwarzschild, and E. A. Spiegel, “On the spectrum of trurbulent convection,” Astrophysical Journal, vol. 133, p. 184, 1961. View at Publisher · View at Google Scholar
  20. E. A. Spiegel, “A generalization of the mixing-length theory of turbulent convection,” Astrophysical Journal, vol. 138, p. 216, 1963. View at Publisher · View at Google Scholar
  21. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford, UK, 1961.
  22. P. H. Roberts, “On non-linear Bénard convection (with an Appendix by K. Stewartson),” in Non-Equilibrium Thermodynamics, Variational Techniques, and Stability, R. Donnelly, R. Herman, and I. Prigogine, Eds., p. 125, University of Chicago Press, 1966.
  23. D. O. Gough, E. A. Spiegel, and J. Toomre, “Modal equations for cellular convection,” Journal of Fluid Mechanics, vol. 68, no. 4, pp. 695–719, 1975. View at Google Scholar
  24. R. Smolec, G. Houdek, and D. O. Gough, “Modelling turbulent fluxes due to thermal convection in rectilinear shearing flow,” in Proceedings of the International Astronomical Union Symposium, N. H. Brummell, A. S. Brun, M. S. Miesch, and Y. Ponty, Eds., vol. 271, pp. 397–398, Cambridge University Press, 2011. View at Publisher · View at Google Scholar
  25. R. Smolec, G. Houdek, and D. O. Gough, “Nonlocal model for the turbulent fluxes due to thermal convection in rectilinear shearing flow,” in Proceedings of the 20th Stellar Pulsation Conference Series: Impact of New Instrumentation & New Insights in Stellar Pulsations, Granada, Spain, 2011.
  26. R. Trampedach and K. Augustson, “Using simulations of solar surface convection as boundary conditions on global simulations,” in Proceedings of the International Astronomical Union Symposium, N. H. Brummell, A. S. Brun, M. S. Miesch, and Y. Ponty, Eds., vol. 271, pp. 403–404, Cambridge University Press, 2011. View at Publisher · View at Google Scholar
  27. R. Trampedach and R. F. Stein, “The mass mixing length in convective stellar envelopes,” Astrophysical Journal, vol. 731, no. 2, article 78, 2011. View at Publisher · View at Google Scholar
  28. G. I. Ogilvie, “On the dynamics of magnetorotational turbulent stresses,” Monthly Notices of the Royal Astronomical Society, vol. 340, no. 3, pp. 969–982, 2003. View at Publisher · View at Google Scholar
  29. P. Tooth and D. O. Gough, “Towards an independent calibration of the mixing-length theory,” in Seismology of the Sun and the Sun-Like Stars, E. J. Rolfe, Ed., ESA, Noordwijk, The Netherlands, 1988. View at Google Scholar