Self-similar flow behind a spherical shock with varying strength in an inhomogeneous self-gravitating medium

Details Self-similar flow behind a spherical shock with varying strength in an inhomogeneous self-gravitating medium Self-similar flow behind a spherical shock with varying strength in an inhomogeneous self-gravitating medium

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.129...11o&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 129, no. 1, Jan. 1987, p. 11-17.

Astronomy and Astrophysics

Astrophysics

7

Astronomical Models, Cosmic Gases, Flow Geometry, Gravitational Collapse, Mass Distribution, Shock Wave Propagation, Anisotropic Media, Equations Of Motion, Pressure Distribution, Solar Corona, Supernovae, Velocity Distribution

Scientific paper

Shock propagation and related flows are of interest in the study of astrophysical phenomena like supernova explosions and sudden expansions of a corona. Here, a self-similar model of a shock wave, produced by an instantaneous release of energy in an inhomogeneous self-gravitating gaseous mass, is analyzed using equations of motion and equilibrium conditions. The disturbances are headed by a shock of variable strength. The variation of velocity, density, pressure, and mass is studied for different values of the shock strength. It is shown that, when the preshock is of variable strength, the velocity, density, and pressure all increase uniformly and continuously toward the center of the explosion, but these variables become nonuniform near the center. When the shock is of constant strength, the velocity and pressure both decrease, but density first increases slightly and then decreases toward the center of the explosion. Mass decreases toward the center in all the studied cases, but the decrease is more rapid for variable shock strength than for constant shock strength.

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