Statistics – Computation
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.129..361s&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 129, no. 2, Jan. 1987, p. 361-402.
Statistics
Computation
3
Accretion Disks, Black Holes (Astronomy), Plasma Jets, Radio Jets (Astronomy), Swirling, Viscous Flow, Angular Momentum, Axisymmetric Flow, Computational Fluid Dynamics, Extragalactic Radio Sources, Incompressible Flow, Mach Number
Scientific paper
A systematic study is performed of a model for the axisymmetric low-sonic-Mach-number flows of a viscous fluid (in which the viscosity is an eddy viscosity due to turbulence in the sheared flows) with angular momentum outside of a black hole. Semisimilar solutions arise naturally, reducing the Navier-Stokes equations to a set of nonlinear ordinary differential equations. These are solved analytically for flows of constant specific angular momentum and numerically for more general flows. Applications to astrophysical jets are considered. Special attention is given to an assessment of the influence of a magnetic field on the hydrodynamic flows. It was found that, in the limit of infinite electrical conductivity, the possible types of flow patterns are the same as in the hydrodynamic case; the magnetic field alters the relative amounts of reversible and irreversible momentum and angular momentum transport by the flow. For a flow with turbulent viscosity, the magnetic field acts to reduce the level of the turbulence and the effective value of the eddy viscosity.
Lovelace Richard V. E.
Scott H. A.
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