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Toward a Structural Understanding of Turbulent Drag Reduction: Nonlinear Coherent States in Viscoelastic Shear Flows

2001/12/31 by Philip A. Stone, Fabian Waleffe, Michael D. Graham · 1 citation
Chemical Engineering · Engineering · Medicine · Physics and Astronomy · #Blood properties and coagulation #Fluid Dynamics and Turbulent Flows #Rheology and Fluid Dynamics Studies #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.1103/physrevlett.89.208301

5 pages, 3 figures, published version, Phys. Rev. Lett. 89, 208301 (2002)

openalex publication_date 2002/10/24 · arxiv created 2002/11/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Nontrivial steady flows have recently been found that capture the main structures of the turbulent buffer layer. We study the effects of polymer addition on these "exact coherent states" (ECS) in plane Couette flow. Despite the simplicity of the ECS flows, these effects closely mirror those observed experimentally: Structures shift to larger length scales, wall-normal fluctuations are suppressed while streamwise ones are enhanced, and drag is reduced. The mechanism underlying these effects is elucidated. These results suggest that the ECS are closely related to buffer layer turbulence.

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