Modeling transitional plane Couette flow

Details Modeling transitional plane Couette flow Modeling transitional plane Couette flow

2008-11-22

arxiv.org/abs/0811.3694v1

Eur. Phys. J. B vol. 58 (2007) 433-447

Physics

Fluid Dynamics

33 pages, 10 figures

Scientific paper

10.1140/epjb/e2007-00243-y

The Galerkin method is used to derive a realistic model of plane Couette flow in terms of partial differential equations governing the space-time dependence of the amplitude of a few cross-stream modes. Numerical simulations show that it reproduces the globally sub-critical behavior typical of this flow. In particular, the statistics of turbulent transients at decay from turbulent to laminar flow displays striking similarities with experimental findings.

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