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Turbulent pair diffusion.

F Nicolleau1, J C Vassilicos

  • 1The University of Sheffield, Department of Mechanical Engineering, Mappin Street, Sheffield, S1 3JD, United Kingdom.

Physical Review Letters
|February 7, 2003
PubMed
Summary
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Turbulent pair diffusion simulations match lab results, showing initial conditions significantly impact particle separation over time. Pairs travel together before violently separating in straining regions.

Area of Science:

  • Fluid dynamics
  • Turbulence research
  • Particle transport

Background:

  • Understanding particle diffusion in turbulent flows is crucial for various scientific fields.
  • Previous laboratory experiments by Jullien et al. provided key data on turbulent pair diffusion.

Purpose of the Study:

  • To validate kinematic simulations against experimental results for turbulent pair diffusion.
  • To investigate the influence of initial conditions on particle separation dynamics.

Main Methods:

  • Conducting kinematic simulations of particle pairs in planar turbulence.
  • Utilizing a k(-5/3) energy spectrum characteristic of turbulent flows.
  • Analyzing the probability density function of pair separations and correlation functions.

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Main Results:

  • Simulations successfully reproduced laboratory findings, including the stretched exponential form of separation probability.
  • Root mean square separation demonstrated strong dependence on initial conditions over extended periods.
  • Observed separation patterns align with a topological model involving particle trajectories and straining regions.

Conclusions:

  • Kinematic simulations are a valid tool for studying turbulent pair diffusion.
  • Initial proximity and encountering turbulent straining regions dictate long-term particle separation.
  • Divergence of accelerations provides further support for the proposed topological separation mechanism.