Towards consistency in simple prescriptions for stellar convection

Statistics – Computation

Scientific paper

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Convective Heat Transfer, Stellar Evolution, Stellar Structure, Turbulent Heat Transfer, Computational Fluid Dynamics, Eddy Viscosity, Mixing Length Flow Theory, Stellar Oscillations, Time Dependence

Scientific paper

A consideration of heat transport by turbulent convection is important in studies of stellar structure and evolution. It is also necessary to have a concept for the consideration of convective mixing. For reasons of consistency, the development of such a concept should utilize the same procedure which has been employed in considering the heat transport. The present investigation is concerned with the implementation of such a consistent approach. Two averaging processes are postulated. These processes can be applied systematically to each of the normal fluid dynamical equations which govern the composition distribution, the temperature distribution, and the momentum distribution. The result is a time-dependent (and potentially nonlocal) 'theory' of convection. It is shown that the 'theory' is equivalent to the mixing-length theory in a steady, homogeneous layer, provided that nonlocal terms are ignored.

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