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A New Hydrodynamic Spherical Accretion Exact Solution and Its Quasi-spherical Perturbations by Hernandez, X.; Nasser, L.; Aguayo-Ortiz, A. is a scholarly article available to read on EtoBox.

What is A New Hydrodynamic Spherical Accretion Exact Solution and Its Quasi-spherical Perturbations about?

We present an exact $\gamma=5/3$ spherical accretion solution which modifies the Bondi boundary condition of $\rho \to const.$ as $r\to \infty$ to $\rho \to 0$ as $r \to \infty$. This change allows for simple power law solutions on the density and infall velocity fields, ranging from a cold empty free-fall condition where pressure tends to zero, to a hot hydrostatic equilibrium limit with no infall velocity. As in the case of the Bondi solution, a maximum accretion rate appears. As in the $\gamma=5/3$ case of the Bondi solution, no sonic radius appears, this time however, because the flow is always characterised by a constant Mach number. This number equals 1 for the case of the maximum accretion rate, diverges towards the cold empty state, and becomes subsonic towards the hydrostatic equilibrium limit. It can be shown that in the limit as { $r \to 0$}, the Bondi solution tends to the new solution presented, { extending the validity of the Bondi accretion value to} cases where the accretion density profile does not remain at a fixed constant value out to infinity. We then explore small deviations from sphericity and the presence of angular momentum through an analytic perturbative

Author

Hernandez, X.; Nasser, L.; Aguayo-Ortiz, A.

Published

2022

Language

EN