Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999apj...520..613s&link_type=abstract
The Astrophysical Journal, Volume 520, Issue 2, pp. 613-620.
Astronomy and Astrophysics
Astronomy
Galaxies: Jets, Hydrodynamics, Instabilities
Scientific paper
Adiabatic helical disturbances in a cylindrical jet of radius a and constant speed U embedded in an ambient fluid and rotating with constant angular velocity Omega about its axis, which have been investigated by Bodo and collaborators, are reconsidered. The numerical solution constructed covers the case where the parameter omega=Omegaa/c_i(a)<<1, c_i(a) being the sound speed at the periphery of the jet. It is shown that the comparable study by the other authors omits one term in one of the two governing equations of the problem. Stability characteristics in terms of omega, the dimensionless axial wavenumber b, and the Mach number M of the flow for b<<1 are established. Our detailed results are compared, as far as possible, with those of the other authors. We find a new set of unstable modes due to rotation with small growth rates. They set off where the axial velocity of the disturbance equals the sound speed in the ambient gas. We also find substantial differences between our results and those of the other authors, concerning the boundaries of the stability regions of the problem. There is a transformation that converts a stable solution for the case where the gas density rho at the jet interface is continuous to a solution where it is discontinuous. The transformation also converts part of the stability boundary for the former case into part of the stability boundary for the latter case,
Sozou C.
Wilkinson L. C.
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