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Updated: Feb 9, 2026

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
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Turbulence Statistics in a Two-Dimensional Vortex Condensate.

Anna Frishman1,2, Corentin Herbert2,3

  • 1Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA.

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|June 5, 2018
PubMed
Summary
This summary is machine-generated.

Understanding fluid mechanics is key. This study reveals distinct mechanisms governing momentum flux and turbulent energy in a 2D flow, offering new insights into turbulence modeling.

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Area of Science:

  • Fluid mechanics
  • Turbulence theory
  • Nonlinear dynamics

Background:

  • The interaction between coherent mean flow and turbulent fluctuations is crucial in fluid dynamics.
  • This interaction, governed by the Navier-Stokes equations, impacts various natural and engineered flows.
  • Current turbulence models are often hampered by the complexity of these interactions.

Purpose of the Study:

  • To investigate the distinct mechanisms driving momentum flux and turbulent energy in a simplified 2D turbulent flow.
  • To provide direct evidence for theoretical predictions regarding momentum flux in such systems.
  • To derive a predictive formula for the turbulent energy profile within emergent vortices.

Main Methods:

  • Numerical simulations of a 2D flow in a periodic box.
  • Perturbative closure methods applied to analyze turbulence statistics.
  • Analytical computations combined with numerical data.

Main Results:

  • Explicit results for the Reynolds stress tensor components were obtained.
  • Direct evidence was found supporting the prediction that momentum flux balances forcing and mean-flow advection.
  • A formula was derived for the turbulent energy profile, showing it's solely determined by mean-flow advection.

Conclusions:

  • Momentum flux and turbulent energy in this 2D flow system are governed by different physical mechanisms.
  • The findings offer a more accurate understanding of turbulence and mean-flow interactions.
  • This work provides a foundation for improved turbulence modeling.