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Multiple collisions in turbulent flows.

Michel Vosskuhle1, Emmanuel Lévêque2, Michael Wilkinson3

  • 1Laboratoire de Physique, ENS de Lyon and CNRS, UMR5672, 46, allée d'Italie, F-69007 Lyon, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
PubMed
Summary
This summary is machine-generated.

The ghost collision approximation (GCA) may overestimate particle collision rates in turbulent suspensions. This study reveals multiple collisions cause overestimation, particularly with low particle inertia.

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Area of Science:

  • Fluid dynamics
  • Particle physics
  • Turbulence research

Background:

  • Collision rates in turbulent suspensions are crucial for particle interactions like coalescence and reaction.
  • The ghost collision approximation (GCA) is widely used in numerical studies to estimate collision rates.
  • GCA may overestimate actual collision frequencies due to multiple collisions between particle pairs.

Purpose of the Study:

  • To investigate the occurrence and characteristics of multiple particle collisions in turbulent flows.
  • To quantify the overestimation of collision rates caused by the GCA.
  • To analyze the impact of particle inertia on multiple collision events.

Main Methods:

  • Utilizing fully resolved direct numerical simulations of turbulent flows.
  • Simulating turbulent flows at a moderate Reynolds number (Re(λ)=130).
  • Analyzing the probability distribution of multiple collisions and contact times.

Main Results:

  • The probability of multiple collisions, P(N(c)), follows a power-law form P(N(c))=βα(N(c)) for N(c)>1.
  • Contact time statistics differ for first collisions compared to subsequent ones.
  • The GCA overestimates collision rates by approximately 15% for small particle inertia, decreasing as inertia increases.

Conclusions:

  • Multiple collisions are a significant factor affecting collision rate accuracy in turbulent suspensions.
  • The GCA provides a systematic, albeit small, overestimate of collision rates.
  • Particle inertia plays a key role in modulating the frequency and impact of multiple collisions.