Bénard convection in a finite box: Secondary and imperfect bifurcations

P. Hall, I. C. Walton

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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.

Original languageEnglish
Pages (from-to)377-395
Number of pages19
JournalJournal of Fluid Mechanics
Volume90
Issue number2
DOIs
Publication statusPublished - 1 Jan 1979
Externally publishedYes

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