Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phdt........21s&link_type=abstract
PhD Dissertation, North Carolina Univ. Chapel Hill, NC United States
Astronomy and Astrophysics
Astrophysics
Magnetic Fields, Active Galactic Nuclei, Magnetohydrodynamics, Astrophysics, Collimation, Eigenvectors, Ideal Fluids, Stellar Rotation, Bipolarity, Stability Tests
Scientific paper
Magnetic fields possibly supply the collimation mechanism for many astrophysical outflows. These include winds from rapidly rotating stars and the bipolar outflows (jets) observed emerging from young stellar objects (YSO) and active galactic nuclei (AGN). The analysis presented examines the kinematics of the stationary magnetized wind problem and the stability of the ensuing outflow. We find self-similar solutions to the super-Alfvenic limit of the equations describing this flow. These asymptotically self-similar solutions enjoy many of the properties of the globally self-similar solutions derived in the seminal research of Blandford and Payne, but exist for broader choices of the stream functions, which are quantities conserved along each field line. Furthermore, we derive a general technique for performing the linear stability analysis of arbitrary cylindrically symmetric ideal magnetohydrodynamic (MHD) fluids. The methodology presented incorporates the capability to calculate the dispersion relationship for equilibriums that do not have analytical solutions for the radial dependence of the eigenfunctions to the pertubation equations.
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