Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phdt.........3s&link_type=abstract
Ph.D. Thesis Cornell Univ., Ithaca, NY.
Astronomy and Astrophysics
Astronomy
1
Galactic Nuclei, Hydrodynamics, Magnetohydrodynamic Flow, Stellar Mass Accretion, Angular Momentum, Black Holes (Astronomy), Differential Equations, Gravitational Effects, Magnetic Fields, Navier-Stokes Equation, Radio Sources (Astronomy)
Scientific paper
A study is made of steady-state axisymmetric hydrodynamic and magnetohydrodynamic accretion of matter with angular momentum. The primary application in mind is to accretion of gaseous matter onto massive black holes at rates approx. 1 solar mass/yr. In the case of a viscous, incompressible fluid, self-similar solutions arise naturally, reducing the Navier-Stokes equations to a set of nonlinear ordinary differential equations. Physical interpretations of the solutions show that these flows arise in response to point sources of momentum at the origin, in the + or - directions. For flows with non-constant specific angular momentum, there is a planar discontinuity which is interpreted as an accretion disc. In general, two flow regions appear on each side of the disc, corresponding to accretion onto the disc and jet-like outflows along the + or axes. The magnetic field alters the relative amounts of reversible and irreversible momentum and angular momentum transport by the flow and can act to suppress the level of turbulence present and decrease the effective viscosity. Axisymmetric gravitational accretion of a perfect fluid with angular momentum is also considered. The distinctive aspect of these flows is the existence of an empty vortex funnel, if the specific angular momentum of the fluid is non-zero near the symmetry axis. Applications of the results are made to extragalactic double radio sources.
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