Abstract
view Abstract Citations (73) References (22) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Spatial Stability of Jets: The Nonaxisymmetric Fundamental and Reflection Modes Hardee, Philip E. Abstract A spatial stability analysis of the relativistic dispersion relation governing the growth and propagation of harmonic components comprising a perturbation to the surface of a cylindrical jet is performed. The spatial growth of harmonic components associated with the nonaxisymmetric fundamental solution and reflection solutions of several Fourier modes are analyzed. Approximate analytical expressions describing resonant frequencies and wavelengths, and maximum growth rates at resonance applicable to relativistic jets are found from the dispersion relation, and the nature of the resonances is explored. On transonic jets there is only a fundamental solution for each Fourier mode with no resonance or maximum growth rate. On supersonic jets there is a fundamental solution and reflection solutions for each Fourier mode, and each solution contains a resonance at which the growth rate is a maximum. A numerical analysis of the fundamental and first three reflection solutions of the axisymmetric and first three nonaxisymmetric Fourier modes is performed. The numerical analysis is restricted to nonrelativistic flows but otherwise covers a broad range of Mach numbers and jet densities. The numerical results are used along with the analytical results to obtain accurate expressions for resonant frequencies, wavelengths, and growth rates as a function of Mach numnber and jet density. In all cases the fastest spatial growth rate at a given frequency is of harmonic components associated with the fundamental solution of one of the nonaxisymmetric Fourier modes.the application of these results to jet structure and implication of these results for jet structure in extragalactic radio sources are considered. Publication: The Astrophysical Journal Pub Date: February 1987 DOI: 10.1086/165000 Bibcode: 1987ApJ...313..607H Keywords: Extragalactic Radio Sources; Galactic Structure; Magnetohydrodynamic Stability; Radio Jets (Astronomy); Spatial Distribution; Cylinders; Fourier Analysis; Harmonic Analysis; Perturbation Theory; Propagation Modes; Relativistic Effects; Wavelengths; Astrophysics; GALAXIES: JETS; HYDROMAGNETICS full text sources ADS |
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