An analytical model for a Keplerian disc and a boundary layer around a rapidly rotating star

Statistics – Computation

Scientific paper

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Accretion Disks, Astronomical Models, Kepler Laws, Stellar Rotation, White Dwarf Stars, Boundary Layers, Computational Astrophysics, Energy Transfer, Neutron Stars, Stellar Models, Viscosity

Scientific paper

An analytical model for a disk accreting onto a rapidly rotating star through a boundary layer is presented. The disk is isothermal along the radial direction, and a polytropic equation of state is used to model the transport of energy along the vertical direction; the kinematic viscosity of the fluid is constant. The analytical reaction between the specific angular momentum accreted by the star j* and the stellar angular velocity Omega* is determined for the present isothermal model. It is shown that the magnitude of j*(Omega*) and its functional form depend rather sensitively on the way energy is transported in the disk along the radial direction, and on the viscosity law. The result is argued to be relevant for models of neutron star formation from accretion-induced collapse of massive rapidly rotating white dwarfs.

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