Physics – General Physics
Scientific paper
Mar 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrva..35.2207b&link_type=abstract
Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 35, March 1, 1987, p. 2207-2220. Navy-supported research.
Physics
General Physics
97
Concentric Cylinders, Couette Flow, Power Spectra, Rotating Cylinders, Strange Attractors, Turbulent Flow, Chaos, Flow Visualization, Fractals, Laser Doppler Velocimeters, Liapunov Functions, Poincare Problem, Reynolds Number, Vortices, Working Fluids
Scientific paper
An experiment is conducted on the transition from quasi-periodic to weakly turbulent flow of a fluid contained between concentric cylinders with the inner cylinder rotating and the outer cylinder at rest. Power spectra, phase-space portraits, and circle maps obtained from velocity time-series data indicate that the nonperiodic behavior observed is deterministic, that is, it is described by strange attractors. Various problems that arise in computing the dimension of strange attractors constructed from experimental data are discussed and it is shown that these problems impose severe requirements on the quantity and accuracy of data necessary for determining dimensions greater than about 5. In the present experiment the attractor dimension increases from 2 at the onset of turbulence to about 4 at a Reynolds number 50-percent above the onset of turbulence.
Brandstater A.
Swinney Harry L.
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