Symmetry breaking bifurcations and the growth of chaos in a rotating fluid

Details Symmetry breaking bifurcations and the growth of chaos in a rotating fluid Symmetry breaking bifurcations and the growth of chaos in a rotating fluid

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988uta..reptr....s&link_type=abstract

Annual Report, 1 Oct. 1987 - 30 Sep. 1988 Texas Univ., Austin. Dept. of Physics.

Physics

Broken Symmetry, Chaos, Couette Flow, Digital Simulation, Planetary Waves, Rossby Regimes, Rotating Fluids, Shear Properties, Cylindrical Bodies, Entropy, Jupiter (Planet), Planetary Rotation, Standing Waves, Traveling Waves, Vortices

Scientific paper

Laboratory experiments and numerical simulations on flow between concentric independently rotating cylinders (the Couette-Taylor system) reveal a primary bifurcation to a new state, ribbons, which are traveling waves in the azimuthal direction but standing waves in the axial direction. Other experiments, conducted on a rigid rapidly rotating annulus, are designed to explore parameter regimes characteristic of planetary scale flows. Eastward jets are found to exhibit Rossby waves for a wide range of control parameters, and these jets (or, more precisely, the potential vorticity gradients in the core of the jets) act as a strong barrier to tracer transport: these observations have important implication for the transport of pollutants in oceans and the atmosphere. The behavior of westward jets is found to be markedly different from that of eastward jets: persistent vortices (like the Great Red Spot of Jupiter) are found to form spontaneously in a turbulent shear flow formed by westward jets.

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