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Related Experiment Videos

Probability density function and "plus" and "minus" structure functions in a turbulent channel flow.

M Onorato1, G Iuso

  • 1Dipartimento di Fisica Generale, Università di Torino, Via Pietro Giuria 1, 10125 Torino, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
Summary

Turbulent channel flow shows skewed velocity differences near walls, with right-tail scaling exponents unaffected by the wall. This finding aids understanding of turbulence near surfaces.

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Area of Science:

  • Fluid dynamics
  • Turbulence research
  • Statistical mechanics

Background:

  • Turbulent channel flow is a fundamental model in fluid dynamics.
  • Understanding velocity fluctuations near walls is crucial for predicting drag and heat transfer.
  • Previous studies often assumed homogeneity and isotropy, which do not apply near walls.

Purpose of the Study:

  • To investigate the statistical properties of longitudinal velocity increments in turbulent channel flow.
  • To analyze the influence of wall proximity on turbulence statistics.
  • To compare near-wall turbulence with homogeneous and isotropic turbulence.

Main Methods:

  • Analysis of longitudinal velocity increments at various distances from the wall.
  • Computation of probability density functions (PDFs) for streamwise velocity differences.

Related Experiment Videos

  • Separate calculation of statistics for the right and left tails of the PDF using "plus" and "minus" structure functions.

    • Main Results:

    • The PDF of streamwise velocity differences near the wall is strongly skewed with a pronounced left tail, especially at small scales.
    • Relative scaling exponents for the right tail are minimally affected by the wall's presence.
    • These exponents align with experimental findings from homogeneous and isotropic turbulence.

    Conclusions:

    • The wall has a significant impact on the asymmetry of velocity fluctuations.
    • The right-tail statistics offer a more universal description of turbulent scaling, less influenced by boundary effects.
    • A phenomenological model was developed to explain these observed statistical properties.