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Long-wavelength modulation of turbulent shear flows. (English) Zbl 1036.76023
Summary: The reverse transition from turbulent to laminar flow is studied in very large aspect ratio plane Couette and Taylor-Couette experiments. We show that laminar-turbulence coexistence dynamics (turbulent spots, spiral turbulence, etc.) can be seen as the ultimate stage of a modulation of turbulent flows present at higher Reynolds number, leading to regular long-wavelength inclined stripes. This new type of instability, whose originality is to arise within a macroscopically fluctuating state, can be described in the framework of Ginzburg-Landau equations to which noise is heuristically added to take into account the intrinsic fluctuations of the basic state.

MSC:
76F06 Transition to turbulence
76F10 Shear flows and turbulence
76-05 Experimental work for problems pertaining to fluid mechanics
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