Fluid dynamics of relativistic beams flowing through channels and evolution of double radio sources

Physics – Fluid Dynamics

Scientific paper

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Fluid Dynamics, Galactic Evolution, Galactic Nuclei, Radio Sources (Astronomy), Relativistic Particles, Astronomical Models, Channel Flow, Energetic Particles, Flow Distribution, Hydrodynamic Equations, Magnetic Field Configurations, Magnetohydrodynamic Waves, Shock Wave Propagation

Scientific paper

The dynamical evolution of a relativistic beam ejected from a galactic center is investigated using the similarity method for the relativistic winds flowing through channels. The two stages into which the expansion phase is divided are relativistic expansion and nonrelativistic expansion. A propagation law of the expanding wave front is obtained by the dimensional analysis for a relativistic wind. When the front moves in relativistic fashion, the density of the ambient matter observed in the co-moving frame of the front increases by the Lorentz contraction and mass increment; the propagation law in the classical theory is modified by these relativistic effects. Using a perturbation method, a new similarity method for a relativistic flow whose front velocity is varying with the expansion is presented. The flow structures of the relativistic wind are presented. Also considered are the evolutions of the extragalactic double sources.

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