Long-wavelength modulation of turbulent shear flows |
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| Institution: | 1. Universite de Lorraine, GeoRessources UMR 7359 CNRS-CREGU, 2 rue du Doyen Marcel Roubault TSA 70605, 54518 Vandoeuvre-les-Nancy Cedex, France;2. Perm State University, Department of Theoretical Physics, 15 Bukireva street, 614990 Perm, Russia;3. Institute of Continuous Media Mechanics UB RAS, Laboratory of Computational Fluid Dynamics, 1 Academica Koroleva street, 614013 Perm, Russia;1. University of Montpellier, Institut Montpelliérain Alexander Grothendieck, 34095 Montpellier, France;2. University of Udine, Polytechnic Department of Engineering and Architecture, 33100 Udine, Italy;1. Department of Mathematics, Heriot-Watt University, Riccarton Edinburgh EH14 4AS, UK;2. Technical University Berlin, Institute of Mathematics, Straße des 17. Juni 136, 10623 Berlin, Germany;1. University of Naples Federico II, Department of Mathematics and Applications “Renato Caccioppoli”, Via Cinzia, 80126 Naples, Italy;2. Accademia Nazionale dei Lincei, Via della Lungara 10, 06165 Rome, Italy;1. IFREMER, Marine Structures Laboratory, 150 Quai Gambetta, 62 200 Boulogne-sur-mer, France;2. Laboratoire Ondes et Milieux Complexes, Normandie Univ, UNIHAVRE, CNRS, LOMC, 76 600 Le Havre, France;3. Laboratoire de Mécanique de Normandie, Normandie Univ, INSA Rouen, LMN, 76 000 Rouen, France |
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| Abstract: | 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 the 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. |
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