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An introduction to thermal convection

Published online by Cambridge University Press:  07 June 2006

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

Abstract

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In this lecture I propose a little tour of thermal convection and its applications in astrophysics. The first part of the lecture is devoted to a qualitative introduction to the convective instability using the Schwarzschild criterion; then, concentrating on the equations governing the fluid motions, I introduce the Boussinesq and anelastic approximations which are so often used in these problems. The following part focuses on the Rayleigh-Bénard model which is worked out in detail up to the Landau equation and the Lorenz strange attractor. Finally, I briefly sketch out some results on turbulent convection and end the lecture with the case of stellar convection.

Type
Abstract
Copyright
© EAS, EDP Sciences, 2006