Other
Scientific paper
Jun 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...293...44l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 293, June 1, 1985, p. 44-51.
Other
3
Gas Expansion, Magnetohydrodynamics, Rotating Fluids, Centrifugal Force, Gravitation, Pressure Gradients, Time Dependence
Scientific paper
A differentially rotating adiabatic gas can exhibit axisymmetric, time-dependent, self-similar expansion. Analytic hydrodynamic solutions describing such an expansion are derived. These solutions are the generalization of well known spherically symmetric self-similar solutions for which rotation is not included. Basic properties are discussed and illustrated with explicit solutions for rotating gaseous bodies expanding freely in vacuum. The existence of these self-similar solutions is due to a compatibility in the transport of the pressure, density, and angular momentum of a gamma = 5/3 adiabatic gas undergoing expansion. The distribution of pressure gradient and centrifugal force can be maintained in an invariant form so that acceleration is everywhere radial at all time. A rotating, ejected stellar envelope may evolve asymptotically into such a state of motion. The discussion relates these self-similar solutions to others found recently for time-dependent magnetohydrodynamic flows in the presence of gravity.
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