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Nonlinear coherent structures in a square duct

  • Håkan WedinEmail author
  • Alessandro Bottaro
  • Masato Nagata
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 132)

Abstract

The transition to turbulence in a square duct is an intriguing problem of hydrodynamics and has been studied since the work by Nikuradse [5]. The mean secondary flow of the turbulent state is made up by 8 vortices in the cross-sectional plane with 2 vortices in each corner, symmetric about the diagonals [2, 3, 5, 6, 7, 8]. The underlying mechanism causing this flow has been related to anisotropic turbulent fluctuations. Recently it has been shown through numerical simulations that the flow at transitional Reynolds numbers (\(Re_{b} = \widehat{U}_{b}\widehat{b}/\widehat{v}\), where \(\widehat{U}_{b}\) is the bulk speed, \(\widehat{v}\) the kinematic viscosity and \(\widehat{b}\) the half duct height) can feature instantaneous 4-vortex states (Biau & Bottaro [1] and Uhlmann et al [7]). The lower limit for transition in Re b is between 865 and 1077 [1, 7].

Keywords

Direct Numerical Simulation Coherent Structure Travel Wave Solution Nonlinear Solution Constant Pressure Gradient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Håkan Wedin
    • 1
    Email author
  • Alessandro Bottaro
    • 1
  • Masato Nagata
    • 2
  1. 1.DICATUniversity of GenovaGenovaItaly
  2. 2.Graduate School of EngineeringKyoto UniversitySakyo-kuJapan

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