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Nonlinear standing waves in Couette-Taylor flow

Randall Tagg, W. Stuart Edwards, Harry L. Swinney, and Philip S. Marcus
Phys. Rev. A 39, 3734(R) – Published 1 April 1989
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Abstract

A nonlinear stability analysis by Demay and Iooss of flow between concentric rotating cylinders (the Couette-Taylor system) predicted a transition from the basic flow to a state with ribbons, which are traveling waves in the azimuthal direction but standing waves in the axial direction. We have observed the transition to ribbons in laboratory experiments and numerical simulations, and the measured wave speeds are in accord with those obtained numerically.

  • Received 4 November 1988

DOI:https://doi.org/10.1103/PhysRevA.39.3734

©1989 American Physical Society

Authors & Affiliations

Randall Tagg, W. Stuart Edwards, and Harry L. Swinney

  • Center for Nonlinear Dynamics and Department of Physics, University of Texas, Austin, Texas 78712

Philip S. Marcus

  • Department of Mechanical Engineering, University of California, Berkeley, California 94720

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Vol. 39, Iss. 7 — April 1989

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