Physics – General Physics
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrva..31.3460t&link_type=abstract
Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 31, May 1985, p. 3460-3462.
Physics
General Physics
3
Concentric Cylinders, Electromagnetic Fields, Fluid Flow, Liquid Metals, Strange Attractors, Vortices, Chaos, Fractals, Hydrodynamics, Mercury (Metal), Poincare Spheres, Turbulent Flow
Scientific paper
Experimental evidence is presented to support the extension of modeling of weak turbulence by strange attractors in a low-dimensional phase space to spiraling Taylor vortex flows. Mercury was driven between concentric steady cylinders by electromagnetic forces. A steady state of 12 spiraling vortices appeared and featured two pseudo-periodic oscillations. Chaos appeared above a threshold value of the radial current, causing aperiodicity in both angular and axial directions. Two-dimensional Poincare sections for the system in three-dimensional phase space for a given plane reveal that the strange attractors move to a higher dimensional (fractal) phase space when an attractor is destroyed by upping the radial current. A lower bound can be determined for the dimensions of the new attractors. The presence of dimensional jumps in the chaotic attractor indicate that the generation of turbulence by an increased Re should be treated as a discontinuous process.
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