A non-local theory of time-dependent convection for numerical application of the radial pulsation of stars

Astronomy and Astrophysics – Astrophysics

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Cepheid Variables, Convection, Pulsars, Stellar Oscillations, Time Dependence, Heat Flux, Mixing Length Flow Theory, Specific Heat, Thermodynamics

Scientific paper

A linear perturbation of Ulrich's (1976) non-local theory of convection in non-pulsating stars is used to build up a non-local theory for the influence of the convective heat flux on the pulsation of cepheid type stars. The unphysical oscillations observed in eigenfunctions given by local theories are completely eliminated. It is shown that, in regions where the time scale of convection is smaller than that of pulsation, the convective heat flux drives the pulsation. This driving must be added to the damping due to turbulent viscosity which may be included in the theory.

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