Bénard convection in a finite box: secondary and imperfect bifurcations
- 29 January 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 90 (2) , 377-395
- https://doi.org/10.1017/s0022112079002275
Abstract
In the solution given by Hall & Walton (1977) for Bénard convection in a two-dimensional box with slightly imperfectly insulated side walls it was shown that there were certain critical values 2Lc of the length 2L of the box at which two modes became unstable simultaneously. In this paper we show that in the neighbourhood of Lc a secondary transition takes place which may be a bifurcation or a smooth transition depending on the boundary conditions.Keywords
This publication has 4 references indexed in Scilit:
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- The smooth transition to a convective régime in a two-dimensional boxProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Secondary Bifurcation in Nonlinear Diffusion Reaction EquationsStudies in Applied Mathematics, 1976
- On the effects of side walls on Bénard convectionZeitschrift für angewandte Mathematik und Physik, 1975