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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.

76F06 Transition to turbulence
76F10 Shear flows and turbulence
76-05 Experimental work for problems pertaining to fluid mechanics
Full Text: DOI
[1] Pomeau, Y, Physica D, 23, 1, (1986)
[2] Daviaud, F; Hegseth, J; Bergé, P, Phys. rev. lett., 69, 17, 2511, (1992)
[3] Dauchot, O; Daviaud, F, Phys. fluids, 7, 2, 335, (1995)
[4] Coles, D, J. fluid mech., 21, 385, (1965)
[5] Van Atta, C, J. fluid mech., 25, 495, (1966)
[6] Andereck, C.D; Liu, S.S; Swinney, H.L, J. fluid mech., 164, 155, (1986)
[7] Prigent, A; Dauchot, O, Phys. fluids, 12, 10, 2688, (2000)
[8] D. Coles, C.W. Van Atta, Phys. Fluids (Suppl.) S120 (1967).
[9] Bottin, S; Chaté, H, Eur. phys. J. B, 6, 143, (1198)
[10] Croquette, V; Williams, H, Physica D, 37, 300, (1989)
[11] van Hecke, M; Storm, C; van Saarloos, W, Physica D, 134, 1, (1999)
[12] Scherer, M.A; Ahlers, G; Hörner, F; Rehberg, I, Phys. rev. lett., 85, 3754, (2001)
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