Onset and two-dimensional patterns of convection with strongly temperature-dependent viscosity

Alessandro Bottaro, Philippe Metzener, Moshe Matalon

Research output: Contribution to journalArticle

Abstract

The onset of two-dimensional convection with strongly temperature-dependent viscosity has been considered for a fluid obeying an Arrhenius law. The critical Rayleigh number Rc and the basic features of the flow field at criticality have been identified based on a linear stability analysis. Convective flow patterns near and beyond criticality have been determined based on a direct numerical simulation. It is shown that, as the Rayleigh number R increases beyond Rc, steady rolls first emerge supercritically and that at sufficiently large values of R there is a secondary Hopf bifurcation corresponding to pulsating cells; the peculiar structure of the flow field in each case has been described.

Original languageEnglish (US)
Pages (from-to)655-663
Number of pages9
JournalPhysics of Fluids A
Volume4
Issue number4
DOIs
StatePublished - Jan 1 1992
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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