The Dynamics of Two-dimensional Local and Finite Perturbations in Envelopes of Rotating White Dwarfs. I.

Details The Dynamics of Two-dimensional Local and Finite Perturbations in Envelopes of Rotating White Dwarfs. I. The Dynamics of Two-dimensional Local and Finite Perturbations in Envelopes of Rotating White Dwarfs. I.

Jul 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...447..797g&link_type=abstract

Astrophysical Journal v.447, p.797

Astronomy and Astrophysics

Astronomy

5

Hydrodynamics, Nuclear Reactions, Nucleosynthesis, Abundances, Stars: White Dwarfs, Turbulence

Scientific paper

This is a first paper in a series in which we investigate the behavior of two-dimensional local and finite perturbations in envelopes of stars. In this paper we explore the dynamics of local and finite perturbations in an accreted envelope placed on a white dwarf. Viscosity and rotation are included in a full two-dimensional Navier-Stokes system of equations. A time-dependent Chebyshev method of collocation has been developed and implemented for solving numerically the problem of the propagation of perturbation in the envelope of a white dwarf.
Our most important result is that a local perturbation develops in two basic phases: In phase A, which lasts about one dynamics timescale, the perturbation remains local. In phase B the perturbation expands all over the star by means of pressure waves. Thus, a local perturbation becomes a global one after about one dynamic timescale The present calculations were carried out with a Reynolds number of 103 and 105 and we find that for these Reynolds numbers the viscosity (shear or turbulent) has a minor effect on the development of the local perturbation into a global one.

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