Convective instability in bounded uniform self-gravitating spherical clouds

Details Convective instability in bounded uniform self-gravitating spherical clouds Convective instability in bounded uniform self-gravitating spherical clouds

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...251..271b&link_type=abstract

Astrophysical Journal, Part 1, vol. 251, Dec. 1, 1981, p. 271-277. Navy-supported research.

Astronomy and Astrophysics

Astrophysics

2

Cloud Physics, Dynamic Stability, Free Convection, Gravitational Collapse, Perturbation Theory, Astrophysics, Asymptotic Methods, Cosmic Dust, Flow Stability, Hydrodynamics, Interstellar Matter, Molecular Clouds, Nebulae, Stellar Evolution, Time Dependence

Scientific paper

A new type of instability which is similar to thermal convective instabilities is found to occur in self-gravitating spherical clouds with finite pressure homologously expanding or collapsing in a vacuum. The instability has a growth rate that increases with zonal mode number l, so that objects of arbitrarily small size are unstable. Perturbation amplitudes grow algebraically at first, and then at late times become proportional to the unperturbed cloud radius. The theory is distinct from the Jeans and the Rayleigh-Taylor instabilities, and persists in the limit of vanishing gravitational interaction.

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