On the internal dynamics of turbulent plumes in the context of stellar convection.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Convection, Hydrodynamics, Turbulence, Sun: Interior, Rotation, Stars: Interiors

Scientific paper

We investigate in some details the modeling of turbulent plumes which have been proposed by Rieutord and Zahn to represent the downflows in a stellar convective zone. We show in particular the limits of Taylor's hypothesis about turbulent entrainment and emphasize its connection with the flow's self-similarity. The role of the dissipation is shown to be important in the choice of the final asymptotic regime. This is illustrated by a paradox which is solved when dissipation is correctly taken into account. It is concluded that in stellar conditions, the lack of self-similarity implies the replacement of Taylor's hypothesis by a proper closure of the mean-field equations in order to obtain a reliable prediction on the large-scale dynamics.

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