Abstract
A model is presented that explains the `torsional oscillation' pattern of deviations in the solar rotation rate as a geostrophic flow. The flow is driven by temperature variations near the surface due to the enhanced emission of radiation by the small-scale magnetic field. The model explains the sign of the flow, its amplitude and the fact that the maxima occur near the boundaries of the main activity belts. The amplitude of the flow decreases with depth from its maximum at the surface but penetrates over much of the depth of the convection zone, in agreement with the data from helioseismology. It predicts that the flow is axisymmetric only on average, and in reality consists of a superposition of circulations around areas of enhanced magnetic activity. It must be accompanied by a meridional flow component, which declines more rapidly with depth.
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References
Altrock, R.: 1986, Publ. Astron. Soc. Pacific 98, 1100.
Antia, H.M., Basu, S., Hill, F., Howe, R., Komm, R.W., and Schou, J.: 2001, Monthly Notices Royal Astron. Soc. 327, 1029.
Asplund, M., Nordlund, Å., Trampedach, R., Allende Prieto, C., and Stein, R. F.: 2000, Astron. Astrophys. 359, 729.
Basu, S. and Antia, H.M.: 2000, Solar Phys. 192, 469.
D'Silva, S. and Choudhuri, A. R.: 1993, Astron. Astrophys. 272, 621.
Dziembowski, W. and Goode, P.: 2002, 'Radial and Nonradial Pulsations as Probes of Stellar Physics', ASP Conference Proceedings 259, 476.
Dziembowski, W. A., Goode, P. R., and Schou, J.: 2001, Astrophys. J. 553, 897.
Fan, Y., Fisher, G. H., and McClymont, A. N.: 1994, Astrophys. J. 436, 907.
Fröhlich, C. and Lean, J.: 1998, Geophys. Res. Lett. 25, 4377.
Gilman, P.A.: 1992, in K.L. Harvey (ed.),the Solar Cycle, ASP Conf. Series 27, 241.
Goldreich, P., Murray, N., Willette, G., and Kumar, P.: 1991, Astrophys. J. 370, 752.
González Hernández, I. and Patrón, J.: 2000, Astrophys. J. 535, 454.
Goode, P. R., Didkovsky, L. V., Libbrecht, K. G., and Woodard, M. F.: 2002, Adv. Space Res. 29, 1889.
Guhathakurta, M., Fisher, R. R., and Altrock, R. C.: 1993, Astrophys. J. 414, 145.
Harvey, K. L.: 1989, Bul. Am. Astron. Soc. 21, 839.
Harvey, K. L., Tang, F., and Gaizauskas, V.: 1986, Coronal and Prominence Plasmas, NASA Goddard Space Flight Center, p. 359.
Howard, R. and LaBonte, B. J.: 1980, Astrophys. J. 239, L33.
Howe, R., Hill, F., and Komm, R. W.: 2002, in American Geophysical Union, Spring Meeting 2001, abstract SP21C-03.
Howe, R., Christensen-Dalsgaard, J., Hill, F. et al.: 2000, Astrophys. J. 533, L163.
Komm, R. W.: 1994, Solar Phys. 149, 417.
Komm, R. W., Howard, R. F., and Harvey, J. W.: 1993, Solar Phys. 143, 19.
Landau, L. D. and Lifshitz, E. M.: 1982, Fluid Dynamics, Pergamon Press, Oxford.
Leighton, R. B.: 1969, Astrophys. J. 156, 1.
Leroy, J. L. and Trellis, M.: 1974, Astron. Astrophys. 35, 283.
Moreno-Insertis, F. and Solanki, S.: 2000, Monthly Notices Royal Astron. Soc. 313, 411.
Parker, E. N.: 1987, Astrophys. J. 321, 984.
Pedlosky, J., 1982: Geophysical Fluid Dynamics, Springer-Verlag, New York.
Rosenthal, C. S., Christensen-Dalsgaard, J., Nordlund, Å., Stein, R. F., and Trampedach, R.: 1999, Astron. Astrophys. 351, 689.
Sánchez Almeida, J.: 2000, Astrophys. J. 544, 1135.
Schou, J., Antia, H. M., Basu, S. et al.: 1998, Astrophys. J. 505, 390.
Schüssler, M.: 1981, Astron. Astrophys. 94, L17.
Schüssler, M., Caligari, P., Ferriz-Mas, A., and Moreno-Insertis, F.: 1994, Astron. Astrophys. 281, L69.
Spruit, H. C.: 1976, Solar Phys. 50, 269.
Spruit, H. C.: 1977, Solar Phys. 55, 3.
Spruit, H. C.: 1982, Astron. Astrophys. 108, 348.
Spruit, H. C.: 1991, in Giampapa and Matthews (eds.), The Sun in Time, University Arizona Press, Tucson, p. 118.
Spruit, H. C.: 1997, Memo. Soc. Astron. Ital. 68, 397.
Spruit, H. C. and Zwaan, C.: 1981, Solar Phys. 70, 207.
Spruit, H. C., Schüssler, M., and Solanki, S. K.: 1991, in Cox et al. (eds.), Solar Interior and Atmosphere, University of Arizona Press, Tucson, p. 890.
Stein, R. F. and Nordlund, A.: 1998, Astrophys. J. 499, 914.
Taylor, S. F., Varsik, J. R., Woodard, M. F., Libbrecht, K. G.: 1998, Solar Phys. 178, 439.
Ulrich, R. K.: 1998, in F.L. Deubner et al. (eds), 'New Eyes to See Inside the Sun and Stars', IAU Symp. 185, 59.
Ulrich, R. K.: 2001, Astrophys. J. 560, 466.
Ulrich, R. K., Evans, S., Boyden, J. E., and Webster L.: 2002, Astrophys. J. Suppl. 139, 259.
Vorontsov, S., Christensen-Dalsgaard, J., Schou, J., Strakhov, V. N., and Thompson, M. J.: 2002, Science 296, 101.
Wilson, P. R., Altrock, R. C., Harvey, K. L., Martin, S. F., and Snodgrass, H. B.: 1988, Nature 333, 748.
Woodard, M. F. and Libbrecht, K. G.: 1993a, Astrophys. J. 402, L77.
Woodard, M. F. and Libbrecht, K. G.: 1993b, Science 260, 1778.
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Spruit, H. Origin of the torsional oscillation pattern of solar rotation. Solar Physics 213, 1–21 (2003). https://doi.org/10.1023/A:1023202605379
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DOI: https://doi.org/10.1023/A:1023202605379