Nonlinear diffusive instabilities in differentially rotating stars

Details Nonlinear diffusive instabilities in differentially rotating stars Nonlinear diffusive instabilities in differentially rotating stars

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gapfd..22..133k&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 22, no. 1-2, 1982, p. 133-158. Research supported by the Alfred P. Sloan Fou

Astronomy and Astrophysics

Astrophysics

5

Angular Momentum, Astrophysics, Dynamic Stability, Stellar Rotation, Branching (Physics), Latitude, Linear Systems, Nonlinear Systems, Stratification

Scientific paper

Angular momentum driven instabilities in a stratified differentially rotating star are investigated. In the strong buoyancy limit axisymmetric instabilities of the Goldreich-Schubert type are the most important. A detailed discussion of the linear and small amplitude theories at an arbitrary latitude is given. The bifurcation to finite amplitude steady modes is typically transcritical, and occurs whenever the angular momentum or its gradient is neither parallel not perpendicular to local gravity. Such misalignments enhance the time scale for transport of angular momentum by the Goldreich-Schubert instability. Depending on the turbulent viscosity produced by secondary shear instabilities time scales as short as the Kelvin-Helmholtz time scale are possible.

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