Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975mnras.173..207e&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 173, Oct. 1975, p. 207-221.
Astronomy and Astrophysics
Astronomy
1
Astronomical Models, Boussinesq Approximation, Flow Stability, Stellar Evolution, Stellar Structure, Thermal Instability, Boundary Conditions, Boundary Value Problems, Convective Flow, Equations Of Motion, Flow Distribution, Incompressible Fluids, Neutrinos, Perturbation Theory, Potential Gradients, Rayleigh Number, Transcendental Functions, Velocity Distribution
Scientific paper
An analytic model is presented to study the effect of energy generation and composition gradients on the convective stability of stellar cores. Equations are solved for the motion within a Boussinesq sphere subject to free and rigid boundary conditions. The approach taken can be extended to include the stabilizing effect of neutrino losses. A good approximation is given for the Rayleigh number at high energy generation rates, and the implications for the study of advanced stellar evolution are stressed.
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