Hydrodynamical calculations towards steady state structures in boundary layers in accretion disks. 1: 1-D polytropic boundary layers

Astronomy and Astrophysics – Astrophysics

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Accretion Disks, Boundary Layers, Hydrodynamic Equations, Mathematical Models, Steady State, Stellar Rotation, White Dwarf Stars, Angular Momentum, Boundary Conditions, Chaos, Finite Volume Method, Flow Velocity, Stellar Oscillations, Time Dependence

Scientific paper

We apply the one dimensional version of the multi-dimensional robust solver developed by Hujeirat & Rannacher (1994) to follow the viscous evolution of various models of polytropic boundary layers in accretion disks around a non-magnetic white dwarf. In this paper, we present the results of 13 different time-dependent hydrodynamical calculations. The results indicate that (1) no steady structure of the flow in the boundary layer is encountered. The solutions show that a quasi-standing shock is always present for very small alpha and high stellar rotation, (2) the rate of accreted angular momentum into the central object is much less than the corresponding Keplerian one, (3) the radial extent of the boundary layer (delta RBL) is much smaller than the vertical one as well as the radial extent of classical viscous boundary layers, (4) delta RBL increases with the rotational speed of the star, (5) an instability of the shock position is detected as well as quasi-periodic oscillations which are viscosity-dependent, (6) the polytropic equation of state with gamma = 2 yields unstable and chaotic behavior of the flow in the disk region.

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