Tides in differentially rotating convective envelopes. I - The inviscid tidal velocity

Astronomy and Astrophysics – Astrophysics

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Atmospheric Tides, Binary Stars, Convective Flow, Stellar Envelopes, Stellar Rotation, Velocity Distribution, Energy Dissipation, Inviscid Flow, Stellar Atmospheres, Stellar Models, Viscous Flow

Scientific paper

The purpose of the considered investigation is to calculate the tidal coupling between a star with a convective envelope and its companion, when differential rotation prevents tides from bringing the star into exactly synchronous rotation with the binary system. The analysis follows closely the treatment of tides by Zahn (1966), with two essential differences. First, the tidal velocity field is shown in this study to have nonvanishing divergence; and second, the velocity field is shown to depend on the way in which differential rotation is driven. These two differences are not independent; if one assumes that the velocity field is divergenceless, as Zahn does, then the tidal response is independent of the mechanism that drives the differential rotation.

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