The stability of differential rotation with non-axisymmetric perturbations. II - The necessary conditions

Details The stability of differential rotation with non-axisymmetric perturbations. II - The necessary conditions The stability of differential rotation with non-axisymmetric perturbations. II - The necessary conditions

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..33..127s&link_type=abstract

Astrophysics and Space Science, vol. 33, Mar. 1975, p. 127-140.

Astronomy and Astrophysics

Astrophysics

7

Astronomical Models, Boussinesq Approximation, Flow Stability, Plane Waves, Rotating Fluids, Stellar Rotation, Compressible Flow, Concentric Cylinders, Convective Flow, Eigenvalues, Energy Dissipation, Modal Response, Radiative Transfer, Shear Properties, Thermal Stability, Turbulent Flow

Scientific paper

A plane-wave analysis of a simplified scheme based on the Boussinesq approximation and shallow convection is used to establish the necessary conditions for stability of a differentially rotating compressible flow between two coaxial cylinders subject to nonaxisymmetric perturbations. A normal mode analysis of the simplified scheme is then performed to obtain the sufficient conditions for stability which agree with the results of a previous paper based on an exact eigenvalue problem. Necessary conditions for stability are established for the dissipative and nondissipative cases, and the scheme is shown to be applicable to stellar models where rotation is a function of the radial distance from the axis of rotation. The stabilizing influence of uniform rotation and the destabilizing influence of differential rotation are discussed.

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