Onset of convection near a point source of heat and gravity

Vladimir Shtern, Fazle Hussain

Research output: Contribution to journalArticlepeer-review

Abstract

A paradoxical symmetry breaking—development of a unidirectional flow via thermal instability—is predicted by an analytical solution for compressible convection near a point source of both heat and gravity. Such a flow can propel a cosmic hot body (e.g., a protostar) in a molecular cloud. This convection emerges at the critical Rayleigh number Ra=1(1+1)[21(1+1)+1+3μV/2]γ/(γ-1), where 1 is the number of flow cells, μV is the second-to-first viscosity ratio, and γ is the specific heat ratio.

Original languageEnglish
Pages (from-to)264301-1-264301-4
JournalPhysical Review Letters
Volume87
Issue number26
DOIs
StatePublished - Dec 24 2001

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