Self-similar solutions and their stability for the flow of relativistic fluids through channels

Details Self-similar solutions and their stability for the flow of relativistic fluids through channels Self-similar solutions and their stability for the flow of relativistic fluids through channels

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..68..475l&link_type=abstract

Astrophysics and Space Science, vol. 68, no. 2, Apr. 1980, p. 475-485.

Astronomy and Astrophysics

Astrophysics

2

Astrophysics, Channel Flow, Fluid Flow, Radio Galaxies, Relativistic Particles, Cross Sections, Flow Velocity, Solitary Waves

Scientific paper

The paper analyzes the flow of a perfect relativistic fluid in a circular confining channel of variable cross-section, a situation which is currently thought to be relevant for models of beams protruding from radio galaxies. Families of self-similar solutions are found, and some of their topological characteristics are illustrated. However, a perturbative investigation of the solutions indicates that all such self-similar modes are unstable and would eventually evolve into some non-self-similar form.

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