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

Physics

Scientific paper

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Broken Symmetry, Chaos, Convective Flow, Jet Flow, Mathematical Models, Rotating Fluids, Couette Flow, Directional Control, Jupiter (Planet), Planetary Rotation, Planetary Waves, Rossby Regimes, Standing Waves, Transport Properties, Traveling Waves, Turbulence, Vortices

Scientific paper

Laboratory experiments and numerical simulation 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 characteristics 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 implications 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.

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