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Updated: Jun 28, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

Variable-range projection model for turbulence-driven collisions.

K Gustavsson1, B Mehlig, M Wilkinson

  • 1Department of Physics, Göteborg University, Gothenburg, Sweden.

Physical Review Letters
|November 13, 2008
PubMed
Summary
This summary is machine-generated.

In highly turbulent gas, large inertial particles exhibit a specific speed distribution, influencing particle collision rates. This finding is crucial for understanding planet formation from dust in nebulae.

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Area of Science:

  • Fluid Dynamics
  • Astrophysics
  • Particle Physics

Background:

  • Understanding particle behavior in turbulent flows is essential for various scientific fields.
  • The inertia of particles, quantified by the Stokes number, significantly impacts their dynamics in gas suspensions.
  • Previous models often simplify particle inertia, limiting their applicability to highly turbulent environments.

Purpose of the Study:

  • To investigate the relative speeds (DeltaV) of inertial particles in highly turbulent gas for large Stokes numbers.
  • To identify the underlying mechanism governing the distribution of particle speeds.
  • To determine the implications of these findings for particle collision rates and planet formation.

Main Methods:

  • Analysis of particle dynamics in turbulent gas flows.
  • Derivation of the particle speed distribution function.
  • Numerical simulations to validate theoretical predictions.
  • Analytical solution of a model equation of motion.

Main Results:

  • Identified a novel mechanism for particle speed distribution in highly turbulent gas.
  • Derived the approximate distribution P(DeltaV) ~ exp(-C|DeltaV|(4/3)) for large Stokes numbers.
  • Validated the theoretical distribution through numerical simulations and analytical solutions.
  • Quantified the rate of collisions between suspended particles based on their speed distribution.

Conclusions:

  • The derived particle speed distribution accurately describes inertial particle behavior in highly turbulent gas.
  • The findings provide a quantitative basis for understanding particle aggregation in circumstellar nebulae.
  • This research offers insights into the initial stages of planet formation through dust accretion.