Acoustic Phenomena in Relativistic Shear Flows

Computer Science – Sound

Scientific paper

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3

47.20.Ft, 47.15.Fe, 47.40.Dc, 43.20.+G

Scientific paper

Acoustic perturbations in a parallel relativistic flow of an inviscid fluid are considered. The general expression for the frequency of the sound waves in a uniformly (with zero shear) moving medium is derived. It is shown that the perturbations cease to be purely irrotational as they are in the nonrelativistic case. For a non-uniformly moving fluid it is shown that the recently found [Phys. Rev. E50, 4283 (1994)] velocity shear induced acoustical effects (the excitation of vortical, transiently growing perturbations, and the excitation of sound-type perturbations, extracting the kinetic energy of the background flow) are significantly intensified by the relativistc character of the motion. The possible relevance of this remarkable circumstance to processes in astrophysical relativistic shear flows is pointed out.

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