Abstract
The problem of natural convection in a horizontal layer of viscous thermally conducting fluid heated from below (Bènard problem) is relevant in many physical situations and, in particular, in geophysics and astrophysics. Our goal is to give an account of the questions arising in the determination of the critical value that the Rayleigh number must exceed before the convection (instability) can manifest itself. We limit ourselves in considering the classical Bènard problem, the magnetic Bènard problem and the convection in a porous medium with internal heat source and variable gravity effects in the framework of linear and non-linear stability.
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© 1991 Kluwer Academic Publishers
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Rionero, S., Straughan, B. (1991). On the Problem of Natural Convection. In: Spigler, R. (eds) Applied and Industrial Mathematics. Mathematics and Its Applications, vol 56. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1908-2_15
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DOI: https://doi.org/10.1007/978-94-009-1908-2_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7351-6
Online ISBN: 978-94-009-1908-2
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