Hydrodynamic Models of Line-Driven Accretion Disk Winds in Cataclysmic Variables

Statistics – Computation

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Scientific paper

We present here one-dimensional isothermal analytic hydrodynamic models, both one-dimensional and two-dimensional isothermal numerical hydrodynamic models, and two-dimensional adiabatic alpha disk numerical models for line-driven accretion disk winds from cataclysmic variable (CV) systems. Using the one-dimensional analytic models we explore the physical conditions necessary for the existence of a disk wind, and study the dependence of wind speed and mass-loss rate on radius. Using the two-dimensional isothermal model we explore the effects of centrifugal forces in the wind, and show that these forces cause the wind stream lines to collide producing enhanced density regions in the disk wind. If these effects were absent, the mass-loss rates obtained would be too low to produce the optical depths required to explain the P Cygni profile of CVs. Thus we show the necessity of two dimensional models where these forces may be represented. Using the two-dimensional adiabatic alpha disk model we calculate wind mass-loss rates, terminal velocities, and line profiles for CIV (1550 A) for various angles. For disk luminosity Ldisk = Lsolar, white dwarf mass Mwd = 0.6Msolar, and white dwarf radii Rwd = 0.01Rsolar, we obtain a wind mass-loss rate of Mwind = 8 × 10-12Msolar yr -1, and a terminal velocity of ~3000 km s-1. The line profiles we obtain through our computational model are consistent with observations in their general form, in particular in the maximum absorption at roughly half the terminal velocity for the blue-shifted component, in the magnitudes of the wind velocities implied by the absorption components, in the FWHM of the emission components, and in the strong dependence in inclination angle.

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