Physics
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992soph..138....1r&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 138, March 1992, p. 1-9.
Physics
4
Free Convection, Mixing Length Flow Theory, Numerical Stability, Plasma Turbulence, Solar Physics, Boussinesq Approximation, Hydrodynamic Equations, Rayleigh Number, Stellar Models
Scientific paper
The stability of the solutions of the mean-field theories of turbulent media is questioned. It is done here for the model equations for the solar convection zone which have been used, in particular, to explain the differential rotation. An approximation is presented valid for axisymmetric, short-wave disturbances. A critical local Rayleigh number can be defined, involving eddy diffusivities, above which the stratification becomes unstable. For mixing-length models of the solar convection zone sub-critical Rayleigh numbers are always found. It is necessary to be careful, however, with other theoretical models. Those that were considered here do not reach sufficiently high surface pressure values so that there the associated Rayleigh numbers exceed their critical limits. In the outermost layers in such models, therefore, the solutions could really be unstable.
Ruediger Guenther
Spahn Frank
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