Patterns in Wall-Bounded Shear Flows

• Laurette S. Tuckerman ^[3] ; Matthew Chantry ^[1] ; Dwight Barkley ^[2]
  1. [1] University of Oxford

     University of Oxford

     Oxford District, Reino Unido

     
  2. [2] University of Warwick

     University of Warwick

     Reino Unido

     
  3. [3] Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), ESPCI Paris, PSL University, Sorbonne Université, and Université de Paris, France

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• Localización: Annual review of fluid mechanics, ISSN 0066-4189, Nº.52 52, 2020, págs. 343-367
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Experiments and numerical simulations have shown that turbulence in transitional wall-bounded shear flows frequently takes the form of long oblique bands if the domains are sufficiently large to accommodate them. These turbulent bands have been observed in plane Couette flow, plane Poiseuille flow, counter-rotating Taylor–Couette flow, torsional Couette flow, and annular pipe flow. At their upper Reynolds number threshold, laminar regions carve out gaps in otherwise uniform turbulence, ultimately forming regular turbulent–laminar patterns with a large spatial wavelength. At the lower threshold, isolated turbulent bands sparsely populate otherwise laminar domains, and complete laminarization takes place via their disappearance. We review results for plane Couette flow, plane Poiseuille flow, and free-slip Waleffe flow, focusing on thresholds, wavelengths, and mean flows, with many of the results coming from numerical simulations in tilted rectangular domains that form the minimal flow unit for the turbulent–laminar bands.