Transition to shear-driven turbulence in Couette-Taylor flow

Daniel P. Lathrop*, Jay Fineberg, Harry L. Swinney

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

220 Scopus citations

Abstract

Turbulent flow between concentric cylinders is studied in experiments for Reynolds numbers 800<R<1.23×106 for a system with radius ratio η=0.7246. Despite predictions for the torque scaling as a power law of the Reynolds number, high-precision torque measurements reveal no Reynolds-number range with a fixed power law. A well-defined nonhysteretic transition at R=1.3×104 is marked by a change in the Reynolds-number dependence of the torque. Flow quantities such as the axial turbulent diffusivity, the time scales asociated with the fluctuations of the wall shear stress, and the root-mean-square fluctuations of the wall shear stress and its time derivative are all shown to be simply related to the global torque measurements. Above the transition, the torque measurements and observed time scales indicate a close correspondence between this closed-flow system and open-wall-bounded-shear flows such as pipe flow, duct flow, and flow over a flat plate.

Original languageAmerican English
Pages (from-to)6390-6405
Number of pages16
JournalPhysical Review A
Volume46
Issue number10
DOIs
StatePublished - 1992
Externally publishedYes

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