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

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Flow fields
flow distribution
convection
Viscosity
Rayleigh number
viscosity
Linear stability analysis
Hopf bifurcation
Direct numerical simulation
Flow patterns
convective flow
direct numerical simulation
Temperature
Fluids
temperature
fluids
cells
Convection

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Onset and two-dimensional patterns of convection with strongly temperature-dependent viscosity. / Bottaro, Alessandro; Metzener, Philippe; Matalon, Moshe.

In: Physics of Fluids A, Vol. 4, No. 4, 01.01.1992, p. 655-663.

Research output: Contribution to journalArticle

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