Relativistic and non-relativistic gas flows in astrophysical media - The general symmetric solution in the low pressure limit

Details Relativistic and non-relativistic gas flows in astrophysical media - The general symmetric solution in the low pressure limit Relativistic and non-relativistic gas flows in astrophysical media - The general symmetric solution in the low pressure limit

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..45..327l&link_type=abstract

Astrophysics and Space Science, vol. 45, Dec. 1976, p. 327-336.

Astronomy and Astrophysics

Astrophysics

1

Astrodynamics, Flow Velocity, Gas Flow, Low Pressure, Nonrelativistic Mechanics, Relativistic Velocity, Conservation Equations, Flow Stability, Gas Density, Gas Pressure, Magnetic Fields, Quadratures

Scientific paper

A general technique is outlined for extending the class of Sedov (1959) solutions to the basic problem of gas flow into a surrounding medium within the framework of plane, cylindrical, or spherical symmetry. In its present form, this technique allows for relativistic flow velocities, does not allow for the inclusion of magnetic fields, and is valid only when the gas pressure is much less than the energy density (the low-pressure limit). Approximate low-pressure equations of baryon and momentum conservation are given, and attention is focused on obtaining a general solution to these equations. It is shown that by first assuming an appropriate form for the flow velocity, the associated pressure and density can be determined analytically by quadratures. This technique is illustrated using a simple example in which the fluid is spherically symmetric with constant speed. The possibility of some general method for analyzing flow stability is considered

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