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Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
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Persistent accelerations disentangle Lagrangian turbulence.

Lukas Bentkamp1,2, Cristian C Lalescu1, Michael Wilczek3,4

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Turbulent particle acceleration shows simple statistics when conditioned on persistent Lagrangian acceleration. This finding enables a new framework for understanding particle behavior in turbulent flows.

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Area of Science:

  • Fluid dynamics
  • Statistical mechanics
  • Turbulence research

Background:

  • Particles in turbulent flows experience extreme accelerations interspersed with quiescent periods.
  • The complex, scale-dependent statistics of particle motion pose challenges for non-equilibrium statistical mechanics.
  • Extreme events are linked to intense flow structures like vorticity filaments.

Purpose of the Study:

  • To introduce a new metric, persistent Lagrangian acceleration, for analyzing particle dynamics in turbulence.
  • To simplify the complex statistical behavior of particles in turbulent flows.
  • To develop a comprehensive theoretical framework for Lagrangian single-particle statistics.

Main Methods:

  • Introducing persistent Lagrangian acceleration, defined as squared particle acceleration coarse-grained over a viscous time scale.
  • Conditioning Lagrangian particle data from simulations on this coarse-grained acceleration.
  • Developing a theoretical framework based on observed simplified statistics.

Main Results:

  • Conditioning on persistent Lagrangian acceleration reveals remarkably simple, near-Gaussian statistics across various Reynolds numbers.
  • This simplification allows for the decomposition of complex particle statistics into manageable sub-ensembles.
  • The study establishes a direct link between coarse-grained acceleration and particle behavior.

Conclusions:

  • Persistent Lagrangian acceleration provides a powerful tool for simplifying the analysis of particle statistics in turbulence.
  • The developed theoretical framework offers a new approach to understanding acceleration, velocity increments, and dispersion of single particles.
  • This work paves the way for advancements in non-equilibrium statistical mechanics of turbulence.