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The dynamics of rotating fluids and binary stars

Published online by Cambridge University Press:  20 June 2008

M.-J. Goupil ,
J.-P. Zahn  and
M. Rieutord
M. Rieutord*
Affiliation:
Laboratoire d'Astrophysique de l'Observatoire Midi-Pyrénées, UMR 5572, CNRS et Université Paul Sabatier, 14 avenue E. Belin, 31400 Toulouse, France
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Abstract

In this lecture I try to explain the basic concepts related to fluid motions when a background rotation dominates the flows. In particular, the notions of geostrophic flow, Ekman layer, Ekman circulation are explained. However, the main focus of this lecture is on the eigenmodes which occur in such a context and I emphasize here the special effects conveyed to inertial and gravito-inertial modes by the hyperbolic nature of the governing operators. A final section introduces the case of the elliptic instability which I recently suggested as one of the processes of binary synchronization.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 29: Tidal Effects in Stars, Planets and Disks , 2008 , pp. 127 - 147
Copyright
© EAS, EDP Sciences, 2008

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References

Bryan, G., 1889, Phil. Trans. R. Soc. Lond., 180, 187 CrossRef
Chandrasekhar, S., 1961, Hydrodynamic and hydromagnetic stability (Clarendon Press, Oxford)
Cushman-Roisin, B., 1994, An introduction to geophysical fluid dynamics (Prentice-Hall, Paris)
Dintrans, B., & Rieutord, M., 2000, A&A, 354, 86
Dintrans, B., Rieutord, M., & Valdettaro, L., 1999, J. Fluid Mech., 398, 271 CrossRef
Friedlander, S., & Siegmann, W., 1982, Geophys. Astrophys. Fluid Dyn., 19, 267 CrossRef
Gledzer, E.B., & Ponomarev, V.M., 1992, J. Fluid Mech., 240, 1 CrossRef
Greenspan, H.P., 1969, The theory of rotating fluids (Cambridge University Press)
Kerswell, R., 1993, Geophys. Astrophys. Fluid Dyn., 72, 107 CrossRef
Kerswell, R., 1994, J. Fluid Mech., 274, 219 CrossRef
Kerswell, R., & Malkus, W., 1998, Geophys. Res. Letters, 25, 603 CrossRef
Kerswell, R.R., 2002, Ann. Rev. Fluid Mech., 34, 83 CrossRef
Lacaze, L., Le Gal, P., & Le Dizès, S., 2005, Phys. Earth Planet. Inter., 151, 194 CrossRef
Le Gal, P., Lacaze, L., & Le Dizès, S., 2005, J. Phys. Conf. Ser., 14, 30 CrossRef
Malkus, W., 1989, Geophys. Astrophys. Fluid Dyn., 48, 123 CrossRef
Mason, D., & Kerswell, R., 1999, J. Fluid Mech., 396, 73 CrossRef
Ralston, J., 1973, J. Math. Anal. Appl., 44, 366 CrossRef
Rieutord, M., 1992, A&A, 259, 581
Rieutord, M., 1997, Une introduction à la dynamique des fluides (Masson, Paris)
Rieutord, M., 2001, ApJ, 550, 443 CrossRef
Rieutord, M., 2004, in IAU Symposium: stellar rotation, ed. A. Maeder and P. Eenens, 394
Rieutord, M., Georgeot, B., & Valdettaro, L., 2000, Phys. Rev. Lett., 85, 4277 CrossRef
Rieutord, M., Georgeot, B., & Valdettaro, L., 2001, J. Fluid Mech., 435, 103 CrossRef
Rieutord, M., & Valdettaro, L., 1997, J. Fluid Mech., 341, 77 CrossRef
Rieutord, M., Valdettaro, L., & Georgeot, B., 2002, J. Fluid Mech., 463, 345 CrossRef
Rieutord, M., & Zahn, J.-P., 1997, ApJ, 474, 760 CrossRef
Roberts, P.H., 1968, Philosoph. Trans., 263, 93
Suárez, J.C., Moya, A., Martín-Ruíz, S., et al., 2005, A&A, 443, 271
Waleffe, F., 1990, Phys. Fluids, 2, 76 CrossRef
Witte, M.G., & Savonije, G.J., 1999a, A&A, 341, 842 PubMed
Witte, M.G., & Savonije, G.J., 1999b, A&A, 350, 129
Witte, M.G., & Savonije, G.J., 2001, A&A, 366, 840 PubMed
Zahn, J.-P., 1975, A&A, 41, 329 PubMed
Zhang, K.-K., & Busse, F., 1987, Geophys. Astrophys. Fluid Dyn., 39, 119 CrossRef