Onset of Convection near a Point Source of Heat and Gravity

Physics

Scientific paper

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Scientific paper

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 = l(l+1) [2l(l+1)+1+3μV/2]γ/(γ-1), where l is the number of flow cells, μV is the second-to-first viscosity ratio, and γ is the specific heat ratio.

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