On mixing the Eddington-Sweet circulation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Eddington Approximation, Stellar Evolution, Stellar Models, Stellar Rotation, Kelvin-Helmholtz Instability, Molecular Weight, Stellar Cores

Scientific paper

A previous formulation of the equations governing possible steady mixing states in a rapidly rotating, evolving Cowling model star with Eddington-Sweet (E-S) circulation is rediscussed in order to bring out explicitly the dependence on the centrifugal ratio epsilon and the ratio eta of the Kelvin-Helmholtz time to the nuclear evolution time. The earlier conclusion is confirmed that even when all but the P2 contribution to the mu field (mu is mean molecular weight) are ignored, the consequent lower limit on epislon in a uniform rotator is unrealistically large, and that only by assuming an implausible nonuniform rotation field can steady mixing of even part of the star by E-S circulation be reconciled with the limits set by hydrostatic equilibrium near the surface.

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