Integral constraints on convective overshooting

Physics – Fluid Dynamics

Scientific paper

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Convection, Stellar Evolution, Stellar Models, Dissipation, Fluid Dynamics, Mixing Length Flow Theory, Nonadiabatic Conditions, Stellar Structure

Scientific paper

The integral constraint used to estimate the uncertainty in present knowledge of convection and convective overshooting is rederived for the general compressible case and shown to reduce to the previous result for almost adiabatically stratified convective zones when viscous dissipation is neglected. It is further shown that the objections by Baker and Kuhfuss (1987) require the stratification to be strongly nonadiabatic and that this then renders invalid standard models of stellar structure. Evidence from solar oscillations does not indicate such a large departure from adiabaticity.

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