Secondary instability in plane channel flow with spatially periodic perturbations

Michael F. Schatz and Harry L. Swinney
Phys. Rev. Lett. 69, 434 – Published 20 July 1992
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Abstract

Laboratory experiments on plane channel flow with a streamwise-periodic array of cylinders reveal a bifurcation from two-dimensional traveling waves to three-dimensional spanwise standing waves. The standing waves select a wave number that is independent of the wave number imposed initially by time-periodic disturbances. The stable tertiary flow stands in contrast with most open flows where instability develops directly to turbulence.

  • Received 20 April 1992

DOI:https://doi.org/10.1103/PhysRevLett.69.434

©1992 American Physical Society

Authors & Affiliations

Michael F. Schatz and Harry L. Swinney

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

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Issue

Vol. 69, Iss. 3 — 20 July 1992

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