Selfsimilar condensation of spherically symmetric selfgravitating isothermal gas clouds
Abstract
The authors show that similarity solutions for the condensation of spherically symmetric selfgravitating 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 twoparameter continuum of such solutions. Moreover, the two parameters (z_{0}, w_{0}) admit a clear and useful physical interpretation. z_{0} 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. w_{0} 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.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 May 1985
 DOI:
 10.1093/mnras/214.1.1
 Bibcode:
 1985MNRAS.214....1W
 Keywords:

 Computational Astrophysics;
 Condensing;
 Gas Flow;
 Gravitation Theory;
 Molecular Clouds;
 Stellar Gravitation;
 Gas Dynamics;
 Isothermal Flow;
 Sound Waves;
 Spheres;
 Symmetry;
 Transonic Flow;
 Wave Propagation;
 Astrophysics