Gravitational collapse of gas clouds with spherical, cylindrical, or plane symmetry in the linear wave flow approximation

Details Gravitational collapse of gas clouds with spherical, cylindrical, or plane symmetry in the linear wave flow approximation Gravitational collapse of gas clouds with spherical, cylindrical, or plane symmetry in the linear wave flow approximation

Sep 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..95..145i&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 95, no. 1, Sept. 1983, p. 145-162. Research supported by the Universidad d

Astronomy and Astrophysics

Astrophysics

2

Astronomical Models, Cylindrical Plasmas, Gravitational Collapse, Molecular Clouds, Spherical Plasmas, Two Dimensional Flow, Galactic Evolution, Gas Dynamics, Magnetohydrodynamic Flow, Plasma Equilibrium, Polytropic Processes, Stellar Evolution

Scientific paper

The equations of gas dynamics are solved, quasi-analytically by applying McVittie's method for spherical, cylindrical and plane configurations. The hypothesis of linear wave flow is applied and it is assumed that the final state of collapsing clouds is a hydrostatic equilibrium state, determined by complete polytropes. Complete analytical solutions are found when the generalized (to the three symmetries) Emden equation admits of analytical solutions. Otherwise the solutions are left in terms of the numerical solutions of the Emden equation. Numerical solutions to the Emden equation in the plane case are found and tabulated. A strong dependence of amplification, of density, pressure and temperature of the gas, on the symmetry is found. In addition, it is concluded that the flow remains subsonic, during the collapse, except toward the boundaries of the collapsing clouds.

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