Accretion disc boundary layers - Geometrically an optically thin case

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Accretion Disks, Asymptotic Methods, Boundary Layers, Cataclysmic Variables, Optical Thickness, Angular Velocity, Boundary Value Problems, Radial Velocity, Stellar Mass Accretion, Viscosity

Scientific paper

The method of matched asymptotic expansions is applied to an optically and geometrically thin boundary layer between an accretion disc and the accreting star. Analytical solutions are presented for a particular viscosity prescription in the boundary layer. For a typical example the authors find that the disc closely resembles standard steady-disc theory. It is identical to it everywhere save a narrow boundary layer, where the temperature increases rapidly inward (by an order of magnitude), the angular velocity achieves maximum and decreases to its surface value and other variables also undergo rapid changes. This and previous work can now be used to calculate the emission from accretion discs including the boundary layers for a wide range of parameters.

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