Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...395..604t&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 395, no. 2, Aug. 20, 1992, p. 604-611.
Astronomy and Astrophysics
Astrophysics
11
Binary Stars, Boundary Value Problems, Ekman Layer, Stellar Interiors, Stellar Rotation, Angular Momentum, Boundary Conditions, Boundary Layer Transition, Navier-Stokes Equation, Spherical Harmonics
Scientific paper
In this paper we discuss the large-scale motions in a nonsynchronous binary component with constant properties. A consistent solution requires a two-parameter expansion in the small quantities epsilon(t) and delta/R- where epsilon(t) is the ratio of the tidal force to gravity at the equator, and delta/R is the relative thickness of the Ekman-type boundary layer. Indeed, because a purely azimuthal flow generates a tangential stress vector that has both a 'meridian' component and a smaller 'azimuthal' component that is proportional to epsilon(t), a large-scale meridional flow is always required to cancel out the latter component at the free surface. However, because our local approach breaks down in the equatorial belt, a global boundary-value method is used to describe this time-dependent motion in the tidally distorted configuration. In agreement with our previous studies of synchronization, it is found that these transient, tidally driven currents exchange mass - and, hence, angular momentum - between the surface boundary layer and the inviscid interior. This Ekman-pumping mechanism spins down the configuration in a time which is much smaller than the viscous decay time of residual motions.
Tassoul Jean Louis
Tassoul Monique
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