Abstract
The aim of the present paper is to formulate explicitly the linearized equations safe-guarding the conservation of mass, energy, and momentum of viscous flow inside a heterogeneous, compressible, rotating fluid configuration, in which the coefficient of viscosity is an arbitrary function of radial distance, and the rotation is about a fixed z axis with angular velocity ω. These equations are then applied to the problem of convection in a homogeneous, self-gravitating, nonrotating fluid sphere of uniform viscosity in which departures from the state of equilibrium give rise to internal motion. The changes of density and radial velocity accompanying steady flow inside the sphere, caused by isothermal compression as well as by thermal expansion, are investigatedunder various boundary conditions and lead to the appearance of certain characteristic numbers.
Published Version
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