Self-similar condensation of spherically symmetric self-gravitating isothermal gas clouds

Whitworth, Anthony Peter ORCID: https://orcid.org/0000-0002-1178-5486 and Summers, D. 1985. Self-similar condensation of spherically symmetric self-gravitating isothermal gas clouds. Monthly Notices of the Royal Astronomical Society 214 (1) , pp. 1-25. 10.1093/mnras/214.1.1

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Abstract

The authors show that similarity solutions for the condensation of spherically symmetric self-gravitating isothermal gas clouds are much more abundant than was hitherto believed; they have discovered that each of the discrete solutions found by previous authors must be replaced by a bounded two-parameter continuum of such solutions. Moreover, the two parameters (z0, w0) admit a clear and useful physical interpretation. z0 characterizes the asymptotic form of a solution as t→-∞ (i.e. at very early times), and reflects how intrinsically unstable against contraction the cloud interior is from the outset. w0 characterizes the asymptotic form of a solution as t→+∞ (i.e. at very late times) and reflects how important external pressure is in driving compression. The evolution of the flow is presented and discussed.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Uncontrolled Keywords:	Computational Astrophysics, Condensing, Gas Flow, Gravitation Theory, Molecular Clouds, Stellar Gravitation, Gas Dynamics, Isothermal Flow, Sound Waves, Spheres, Symmetry, Transonic Flow, Wave Propagation
Publisher:	Oxford University Press
ISSN:	0035-8711
Last Modified:	28 Oct 2022 09:27
URI:	https://orca.cardiff.ac.uk/id/eprint/74586

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