On the dynamics of laminar-turbulent patterns in plane Couette flow

Paul Manneville

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arXiv · 1603.06139

On the dynamics of laminar-turbulent patterns in plane Couette flow

Paul Manneville

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Abstract

Plane Couette flow presents a regular oblique turbulent-laminar pattern over a wide range of Reynolds numbers R between the globally stable base flow profile at low R R_t. The numerical simulations that we have performed on a pattern displaying a wavelength modulation show a relaxation of that modulation in agreement with what one would expect from a standard approach in terms of dissipative structures in extended geometry though the structuration develops on a turbulent background. Some consequences are discussed.

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Paul Manneville. 2016-03-19. On the dynamics of laminar-turbulent patterns in plane Couette flow. https://arxiv.org/abs/1603.06139

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