Physics
Scientific paper
Feb 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apjs...45..335g&link_type=abstract
Astrophysical Journal Supplement Series, vol. 45, Feb. 1981, p. 335-388.
Physics
99
Anelasticity, Compressible Fluids, Convection, Solar Physics, Solar Rotation, Spherical Shells, Vorticity, Boussinesq Approximation, Linear Equations, Mass Flow, Newton-Raphson Method, Nonlinear Equations, Perturbation Theory, Plasma Density
Scientific paper
In order to develop equations whose solution will clarify the role played by large solar convection zone density variations in differential rotation transports, anelastic equations for convection of a compressible fluid in a deep, rotating spherical shell are derived in the first part of the study. The model equations represent a generalization of a Boussinesq system that has been studied extensively with the solar differential rotation problem in mind, and are expected to apply best in the deep part of a convection zone where departures of the fluid from an adiabatic atmosphere are smallest. The second part of the study focuses on the onset of convection for a compressible fluid in a rotating spherical shell via linear inelastic fluid equations for a depth of 40% of the radius, constant kinematic viscosity and thermometric diffusivity, Taylor numbers up to 100,000, and density stratifications up to seven e-folds across the zone. The perturbations are expanded in spherical harmonics, and the radially dependent equations are solved with a Newton-Raphson relaxation method.
Gilman Peter A.
Glatzmaier Gary A.
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