Generalization of Rayleigh criterion for compressible rotating flows includes Mach number dependence, validated by simulations; accretion disk criterion equivalent to Solberg-Høiland.
The reconfinement of AGN jets
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abstract
In this paper we study the reconfinement of initially freely-expanding unmagnetised relativistic jets by the pressure of non-uniform external gas using numerical approach. The results are compared with the simple semi-analytic model proposed by Komissarov & Falle (1997). In particular, we explore the reconfinement in power-law atmospheres and in the King atmosphere, which describes the X-ray coronas of giant elliptic galaxies. The results show significant deviations from the KF model, which systematically underestimates the reconfinement scale. For the power-law atmospheres the disagreement increases with the power index k, exceeding two orders of magnitude for k=1.5. For the King model, strong deviations are found on the outskirts of the atmosphere, where the distribution approaches a power law. However for jets reconfined inside the core, the reconfinement scale is increased only by the factor of two. When the King model is modified by adding a central cusp, this has little impact on the jets which are reconfined outside of the cusp region but inside the cusp the reconfinement scale significantly reduces.
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Centrifugal instability of compressible flows and the hydrodynamic stability of accretion disks
Generalization of Rayleigh criterion for compressible rotating flows includes Mach number dependence, validated by simulations; accretion disk criterion equivalent to Solberg-Høiland.