LASER DOPPLER VELOCIMETRY STUDY OF THE ONSET OF CHAOS IN TAYLOR VORTEX FLOW.
Item
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Title
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LASER DOPPLER VELOCIMETRY STUDY OF THE ONSET OF CHAOS IN TAYLOR VORTEX FLOW.
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Identifier
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AAI8103925
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identifier
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8103925
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Creator
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FENSTERMACHER, PHILIP RANDOLPH.
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Contributor
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Harry L. Swinney | J. P Gollub
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Date
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1980
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Fluid and Plasma
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Abstract
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The Laser Doppler Velocimetry technique was used to study the mechanism by which chaos can appear in a system governed by deterministic equations of motion and time-independent boundary conditions. Incompressible fluid flow between concentric cylinders, induced by the rotation of the inner one with the outer one fixed, was chosen because it displays a progression of instabilties with increasing Reynolds number before the onset of chaos. Early workers {lcub}1{rcub} thought the number of instabilities so large that the flow appears chaotic when it is actually highly multiply-periodic. Recent work {lcub}2{rcub} cast doubt on this picture. The present study used a mini-computer on line to a PDP-10 mainframe to acquire long data records. The computed velocity power spectral densities therefore had a resolution of (10('-4)). High optical mixing efficiency provided a signal to noise ratio three orders of magnitude higher than previous studies. As a result, we have been able to precisely characterize a quasi-periodic flow and show that chaos appears after two time-dependent instabilities. Relationships of the mode frequencies at the onset of chaos are examined.;('1)Landau, L. 1944 "On the problem of turbulence." C. R. (Dokl.) Acad. Sci. URSS 44, 311-315.;('2)Gollub, J. P. and Swinney, H. L. 1975 "Onset of turbulence in a rotating fluid." Phys. Rev. Lett. 35, 927-930.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
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Program
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Physics
