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Phys. Rev. Lett. 66, 1579–1582 (1991)

Supercritical transition in plane channel flow with spatially periodic perturbations

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

Paul F. Fischer and Anthony T. Patera
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 17 September 1990; published in the issue dated 25 March 1991

Laboratory experiments and numerical simulations have been conducted for plane channel flow with a streamwise-periodic array of cylinders. The primary transition in this open flow occurs as a convective rather than absolute instability and leads to traveling-wave packets, which advect out of the system. The ordered secondary state is characteristic of closed flows, in contrast with other open flows where the primary transition often leads directly to turbulence.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.66.1579
DOI:
10.1103/PhysRevLett.66.1579
PACS:
47.20.Ky, 47.20.Ft, 47.60.+i