Turbulence Regeneration in Pipe Flow at Moderate Reynolds Numbers

Björn Hof, Casimir W. H. van Doorne, Jerry Westerweel, and Frans T. M. Nieuwstadt
Phys. Rev. Lett. 95, 214502 – Published 17 November 2005

Abstract

We present the results of an experimental investigation into the nature and structure of turbulent pipe flow at moderate Reynolds numbers. A turbulence regeneration mechanism is identified which sustains a symmetric traveling wave within the flow. The periodicity of the mechanism allows comparison to the wavelength of numerically observed exact traveling wave solutions and close agreement is found. The advection speed of the upstream turbulence laminar interface in the experimental flow is observed to form a lower bound on the phase velocities of the exact traveling wave solutions. Overall our observations suggest that the dynamics of the turbulent flow at moderate Reynolds numbers are governed by unstable nonlinear traveling waves.

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  • Received 20 May 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.214502

©2005 American Physical Society

Authors & Affiliations

Björn Hof*, Casimir W. H. van Doorne, Jerry Westerweel, and Frans T. M. Nieuwstadt

  • Laboratory for Aero- and Hydrodynamics, Delft University of Technology, Leeghwaterstraat 21, 2628 CA Delft, The Netherlands

  • *Present address: Nonlinear and Liquid Crystal Physics Group, School of Physics and Astronomy, Brunswick Road, University of Manchester, Manchester M13 9PL, United Kingdom. Electronic address: bjorn@reynolds.ph.man.ac.uk
  • Electronic address: J.Westerweel@wbmt.tudelft.nl
  • Deceased.

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Issue

Vol. 95, Iss. 21 — 18 November 2005

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