Large-scale vortices in rotating stratified disks

Details Large-scale vortices in rotating stratified disks Large-scale vortices in rotating stratified disks

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...287..320k&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 287, no. 1, p. 320-324

Computer Science

Numerical Analysis

20

Accretion Disks, Astronomical Models, Magnetohydrodynamics, Rotating Disks, Stratification, Turbulence, Vortices, Dynamo Theory, Eigenvalues, Numerical Analysis, Reynolds Stress, Velocity

Scientific paper

A very new possibility of generation of large-scale flow patterns in turbulent astrophysical bodies is discussed. When the global rotation and the fluid stratification are simultaneously involved, the Reynolds stress tensor contains contributions linear in the mean velocity. Then for sufficiently rapid rotation the system becomes unstable to large-scale motions. The mean velocity equation is very similar to the mean magnetic field equation of dynamo theory. A plane 'dynamo-wave' solution of the Reynolds equation is found in a further analogy of the hydromagnetic dynamo. The numerical solution of a 1D eigenvalue problem leads to a rather low critical 'dynamo number' (approximately = 6) implying that the new mean-flow excitation can indeed act in rotating and stratified astrophysical disks (and spheres?).

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