Models of stellar differential rotation on the lower main sequence

Astronomy and Astrophysics – Astrophysics

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Main Sequence Stars, Stellar Models, Stellar Rotation, Convective Heat Transfer, Dynamo Theory, Magnetic Fields, Mathematical Models, Solar Rotation, X Rays

Scientific paper

The Belvedere et al (1981, 1982) theory explaining solar differential rotation as due to convective energy transport anisotropy caused by solar rotation is parameterized by a coefficient proportional to a power of the Taylor number. The theory has been extended to differential rotation over the lower main sequence, dynamo generation of magnetic fields, and X-ray production, on the basis of a solar model calibration. This calibration is presently shown to be sensitive to arbitrary boundary conditions, as well as the neglect of radiative energy transport in the convection zone. The neglect of centrifugal terms in the poloidal equations of motion is judged to be especially unjustified, and illustrative calculations lead to the conclusion that the Belvedere et al results are based on arbitrary premises. The trend of differential rotation with spectral type along the lower main sequence is radically altered when the large viscosity-slow rotation limit is removed.

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