ON THE SMOOTH TRANSITION TO CONVECTION.

John Tavantzis*, Edward L. Reiss, Bernard J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

In the classical mathematical description of the convection of a viscous fluid heated from below, there is a sharp transition from conduction to convection as the Rayleigh number exceeds a critical value. The convection state bifurcates from the conduction state at the critical Rayleigh number. This is in contrast to experiments, where the transition is smooth as the Rayleigh number is increased. A theory was developed to show that small imperfections are sufficient to explain the smooth transition.

Original languageEnglish (US)
Pages (from-to)322-337
Number of pages16
JournalSIAM Journal on Applied Mathematics
Volume34
Issue number2
DOIs
StatePublished - Jan 1 1978

ASJC Scopus subject areas

  • Applied Mathematics

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