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Travelling Wave Solutions in Square Duct Flow

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Book cover Progress in Turbulence and Wind Energy IV

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 141))

Abstract

Three nonlinear travelling wave solutions for square duct flow are discovered. One of them, the asymmetric solution, which is predicted by the stability analysis, bifurcates from the mirror-symmetric solution found by Okino et al., J. Fluid Mech. 657, 413 (2010). The solution is characterized by asymmetric crosssectional flow patterns with streamwise vortices attached to one of the side walls. The other two solutions, which have rotational symmetry by π and π /2, respectively, are found by a homotopy approach using artificially arranged body forces. Each of the new solutions shows striking similarity to that of pipe flow.

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Author information

Authors and Affiliations

  1. Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto, 606-8501, Japan

    Shinya Okino & Masato Nagata

  2. Dipartmento di Ingegneria, delle Costruzioni, dell’Ambiente e del Territorio, University of Genova, Via Montallegro 1, 16145, Genoa, Italy

    Håkan Wedin & Alessandro Bottaro

Authors
  1. Shinya Okino
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  2. Masato Nagata
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  3. Håkan Wedin
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  4. Alessandro Bottaro
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Corresponding author

Correspondence to Shinya Okino .

Editor information

Editors and Affiliations

  1. , Department of Mechanical Engineering, Technische Universität Darmstadt, Petersenstr., Darmstadt, 64287, Germany

    Martin Oberlack

  2. , Institute of Physics & ForWind, University of Oldenburg, Carl-von-Ossietzky-Straße, Oldenburg, 26111, Germany

    Joachim Peinke

  3. , II Facoltà di Ingegneria, Universita di Bologna, Via Fontanelle 40, Forli, 47100, Italy

    Alessandro Talamelli

  4. , Mechanical, Aerospace & Nuclear, Rensselaer Polytechnic Institute, 110 8th St., Troy, 12180, USA

    Luciano Castillo

  5. , Institute of Physics & ForWind, University of Oldenburg, Carl-von-Ossietzky-Straße, Oldenburg, 26111, Germany

    Michael Hölling

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© 2012 Springer-Verlag Berlin Heidelberg

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Okino, S., Nagata, M., Wedin, H., Bottaro, A. (2012). Travelling Wave Solutions in Square Duct Flow. In: Oberlack, M., Peinke, J., Talamelli, A., Castillo, L., Hölling, M. (eds) Progress in Turbulence and Wind Energy IV. Springer Proceedings in Physics, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28968-2_28

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