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Statistical analysis of coherent structures in transitional pipe flow.

Tobias M Schneider1, Bruno Eckhardt, Jürgen Vollmer

  • 1Fachbereich Physik, Philipps-Universität Marburg, Renthof 6, D-35032 Marburg, Germany. tobias.schneider@physick.uni-marburg.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
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This study introduces a detector for coherent flow structures in transitional pipe flow, finding they occupy over 24% of the time at Re=2200. A Markov model accurately describes transitions between these vortex states.

Area of Science:

  • Fluid Dynamics
  • Turbulence Studies
  • Nonlinear Dynamics

Background:

  • Transitional pipe flow exhibits coherent structures dominated by downstream vortices.
  • These structures significantly contribute to increased Reynolds stresses in turbulent flow.

Purpose of the Study:

  • To develop a detector for coherent vortical structures in transitional pipe flow.
  • To quantify the occurrence of these structures and model their transitions.
  • To understand flow dynamics changes with increasing Reynolds number.

Main Methods:

  • Numerical and experimental investigation of pipe flow.
  • Development of a novel detector for coherent vortical states.
  • Application of a Markov model to analyze state transitions.

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Main Results:

  • The fraction of time exhibiting vortical structures exceeds 24% at Re=2200, decreasing to 20% at Re=2500.
  • The Markov model shows good agreement with observed state fractions and reasonable agreement with persistence predictions.
  • The model provides insights into qualitative flow changes as the Reynolds number increases.

Conclusions:

  • A reliable method for detecting coherent vortical structures in transitional pipe flow has been established.
  • The Markov model effectively captures the dynamics of transitions between flow states.
  • This research enhances understanding of turbulence generation mechanisms in pipe flows.