A numerical study of cylindrically symmetric accretion flow

Statistics – Computation

Scientific paper

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Astronomical Models, Computational Fluid Dynamics, Cylindrical Plasmas, Magnetohydrodynamic Flow, Particle In Cell Technique, Stellar Mass Accretion, Boundary Value Problems, Density Distribution, Eddington Approximation, Gravitational Effects, Point Sources, Velocity Distribution

Scientific paper

The paper presents model calculations of cylindrically symmetric accretion flow to a gravitational point source. The flow is calculated using a form of the particle-in-cell method. Two polytropic equations of state (gamma = 1.0 and gamma = 5/3), and one in which the effects of radiation pressure are taken into account are considered. In the latter case radiation transport is included in the diffusion approximation. The result of previous studies that the mass accretion rate is well approximated by the classical Hoyle-Lyttleton estimate is confirmed. The kinetic energy dissipation rate is found to be several times larger than the classical estimate, the exact value depending on the equation of state and the Mach number of the flow. It is stressed that although the mass accretion rate is necessarily limited to the Eddington rate, the kinetic energy dissipation rate is not limited in this way as long as the surroundings of the accreting object are optically thick.

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