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Updated: Feb 15, 2026

Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques

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Published on: March 12, 2019

Relative velocities in bidisperse turbulent suspensions.

J Meibohm¹, L Pistone¹, K Gustavsson¹

¹Department of Physics, Gothenburg University, SE-41296 Gothenburg, Sweden.

Physical Review. E

|January 20, 2018

Summary

We studied how particle sizes affect relative velocities in turbulent flows. When particle inertia is similar, power-law tails emerge, but disappear with larger differences.

Area of Science:

Fluid Dynamics
Turbulence
Particle Dynamics

Background:

Turbulent suspensions involve particles with varying inertia.
Particle size influences inertia, measured by Stokes number (St).
Understanding relative velocities is crucial for multiphase flow analysis.

Purpose of the Study:

Investigate relative velocity distributions in bidisperse turbulent suspensions.
Analyze the impact of differing particle sizes (Stokes numbers) on velocity distributions.
Determine conditions under which power-law tails appear and dominate.

Main Methods:

Statistical modeling of bidisperse turbulent suspensions.
Analysis of particle relative velocities based on Stokes numbers.
Examination of power-law tail behavior and its dependence on mean Stokes number.

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Main Results:

Similar Stokes numbers lead to power-law tails in relative velocity distributions.
The power-law exponent is a nonanalytic function of the mean Stokes number.
Larger Stokes number differences cause power laws to vanish, but tails still dominate moments at high mean Stokes numbers.

Conclusions:

Particle inertia differences significantly alter relative velocity distributions in turbulence.
Power-law tails are a key feature when particle inertia is similar.
The statistical model provides insights into complex particle dynamics in turbulent flows.