On local theories of time-dependent convection in the stellar pulsation problem. III - The effect of turbulent viscosity

Astronomy and Astrophysics – Astrophysics

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Convection, Stellar Oscillations, Time Dependence, Turbulence Effects, Variable Stars, Viscous Fluids, Cepheid Variables, Coupling, Flow Stability, Stellar Atmospheres, Velocity Distribution

Scientific paper

Improvement in the linear theory of the radial pulsation of stars, taking into account the coupling between pulsation and convection is discussed. The results of the full computations including the turbulent viscosity in the equation of motion are presented. It is shown how the turbulent viscosity is introduced in the equation of momentum, and a new set of differential equations is discussed. The corresponding expression for the energy integral is given, and the origin of the pulsating velocity gradients is shown. The local action of the turbulent viscosity is described for a particular stellar atmosphere and its global action on the instability coefficient of a series of 18 Cepheids is discussed. Finally, the connection between turbulent viscosity, pulsating velocity gradients and thermal dissipation is studied. All the results concern the fundamental mode of radial pulsation.

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