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Strange attractors in weakly turbulent Couette-Taylor flowAn 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.
Document ID
19870047887
Document Type
Reprint (Version printed in journal)
Authors
Brandstater, A. (Texas Univ. Austin, TX, United States)
Swinney, Harry L. (Texas, University Austin, United States)
Date Acquired
August 13, 2013
Publication Date
March 1, 1987
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 35
ISSN: 0556-2791
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Funding Number(s)
CONTRACT_GRANT: NSF MSM-82-06889
CONTRACT_GRANT: NCA2-IR-781-401
Distribution Limits
Public
Copyright
Other