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Related Experiment Videos

Delayed correlation between turbulent energy injection and dissipation.

Bruce R Pearson1, Tarek A Yousef, Nils Erland L Haugen

  • 1School of Mechanical, Materials, Manufacturing Engineering & Management, University of Nottingham, Nottingham NG7 2RD, United Kingdom. Bruce.Pearson@nottingham.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
Summary

The dimensionless kinetic energy dissipation rate C(epsilon) in slightly compressible turbulence shows strong Reynolds number dependence below Re(lambda) ~100. Beyond this, it stabilizes near 0.5, aligning with experimental findings.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Research
  • Computational Physics

Background:

  • Understanding turbulence is crucial for various scientific and engineering fields.
  • The dimensionless kinetic energy dissipation rate (C(epsilon)) is a key parameter in turbulence modeling.
  • Previous estimations of C(epsilon) have shown variability, necessitating further investigation.

Purpose of the Study:

  • To estimate the dimensionless kinetic energy dissipation rate C(epsilon) in statistically stationary isotropic box turbulence.
  • To investigate the influence of the Taylor microscale Reynolds number (Re(lambda)) on C(epsilon).
  • To reconcile discrepancies between numerical simulations and experimental results for C(epsilon).

Main Methods:

  • Numerical simulations of statistically stationary isotropic box turbulence.

Related Experiment Videos

  • Utilizing a random phase forcing method to achieve statistical stationarity.
  • Analyzing data across a Taylor microscale Reynolds number range of 20 to 220.

    • Main Results:

    • The strong dependence of C(epsilon) on Re(lambda) diminishes around Re(lambda) ≈ 100.
    • C(epsilon) approaches a value of approximately 0.5 for higher Re(lambda).
    • A time lag between energy injection and dissipation can cause C(epsilon) estimates to deviate by up to +/-30% from ensemble averages.

    Conclusions:

    • The study provides a refined estimation of C(epsilon) in slightly compressible turbulence.
    • The findings suggest that the Reynolds number dependence of C(epsilon) plateaus at higher Re(lambda).
    • Accounting for time lags in C(epsilon) estimations is essential to explain variations in published results.