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Updated: Feb 8, 2026

Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques
Published on: March 12, 2019
Size distribution spectrum of noninertial particles in turbulence
Izumi Saito1, Toshiyuki Gotoh1, Takeshi Watanabe1
1Department of Physical Science and Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan.
Abstract:
Collision-coalescence growth of noninertial particles in three-dimensional homogeneous isotropic turbulence is studied. Smoluchowski's coagulation equation describes the evolution of the size distribution of particles in this system. By applying a methodology based on turbulence theory, the equation is shown to have a steady-state solution, which corresponds to the Kolmogorov-type power-law spectrum. Direct numerical simulations of turbulence and Lagrangian particles are conducted. The result shows that the size distribution in a statistically steady state agrees accurately with the theoretical prediction.
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