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Turbulent particle pair diffusion: Numerical simulations.

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  • 1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.

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This summary is machine-generated.

This study numerically investigates turbulent particle pair diffusion, revealing two distinct regimes: quasi-local for short ranges and non-local for infinite ranges. These findings support a new theory on turbulent diffusion in the inertial subrange.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • Statistical Mechanics

Background:

  • Turbulent particle pair diffusion is crucial in understanding various physical phenomena.
  • Existing theories often simplify the complex dynamics within the inertial subrange.
  • A recent theory proposed a new framework for turbulent diffusion.

Purpose of the Study:

  • To numerically investigate a new theory for turbulent particle pair diffusion in the inertial subrange.
  • To validate the theory's predictions using Kinematic Simulations.
  • To explore the behavior of diffusion coefficients under different energy spectra.

Main Methods:

  • Utilized a Lagrangian diffusion model, specifically Kinematic Simulations.
  • Investigated flow fields with generalized energy spectra of the type E(k) ∼ k-p.
  • Analyzed pair diffusion coefficients in both short and asymptotically infinite inertial subranges.

Main Results:

  • Observed all predictions of the theory in generalized energy spectra.
  • Identified two non-Richardson regimes: quasi-local for short inertial subranges and non-local for infinite ones.
  • Diffusion scaling exponent γ was found to be intermediate between purely local and non-local limits, agreeing with experimental data for intermittent turbulence.

Conclusions:

  • The numerical simulations support the proposed theory for turbulent diffusion in the inertial subrange.
  • Turbulent diffusion is governed by a combination of local and non-local transport processes.
  • The findings provide a more comprehensive physical picture of particle diffusion in turbulent flows.