Inertial oscillations in the solar convection zone. III - A cylindrical model for nonaxisymmetric oscillations in a superadiabatic gradient

Abstract

The effects of a superadiabatic gradient and differential rotation upon inertial oscillations that are nonaxisymmetric about the axis of rotation are examined as a generalization of earlier calculations published by Gilman and Guenther in 1985 for a cylindrical model of a stellar convection zone. It is shown that the frequencies of these oscillations are sensitive to both superadiabatic gradient and differential rotation. If such oscillations can be detected on the sun, then they could be used to measure the degree of superadiabaticity of the convection zone, and also to distinguish fine differences in the radial gradient of angular velocity, for example, between rotation independent of depth, and one constant on cylinders parallel to the rotation axis, matched to the surface profile of latitudinal differential rotation, such as predicted for the sun by various global convection models. 10 references.