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Phys. Rev. Lett. 69, 434–437 (1992)

Secondary instability in plane channel flow with spatially periodic perturbations

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Michael F. Schatz and Harry L. Swinney
Center for Nonlinear Dynamics and Department of Phyics, The University of Texas, Austin, Texas 78712

Received 20 April 1992; published in the issue dated 20 July 1992

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.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.69.434
DOI:
10.1103/PhysRevLett.69.434
PACS:
47.20.Ky, 47.20.Ft, 47.35.+i, 47.60.+i