Viscous boundary layers of radiation-dominated, relativistic jets. I. The two-stream model

Abstract

Using the relativistic equations of radiation hydrodynamics in the viscous limit, we analyze the boundary layers that develop between radiation-dominated jets and their environments. In this paper we present the solution for the self-similar, 2-D, plane-parallel two-stream problem, wherein the jet and the ambient medium are considered to be separate, interacting fluids, and we compare our results to those of previous authors. (In a companion paper we investigate an alternative scenario, known as the free-streaming jet model.) Consistent with past findings, we show that the boundary layer that develops between the jet and its surroundings creates a region of low-density material. These models may be applicable to sources such as super-Eddington tidal disruption events and long gamma-ray bursts.

9 pages, 6 figures, paper II to appear tomorrow. Accepted for publication in ApJ

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Cited by in corpus (5)

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• Viscous boundary layers of radiation-dominated, relativistic jets. II. The free-streaming jet model
• Neutron Stars, Ungravity, and the I-Love-Q relation
• The radiation hydrodynamics of relativistic shear flows