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Extreme fluctuations of the relative velocities between droplets in turbulent airflow

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Saw,  Ewe-Wei
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Bewley,  Gregory P.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Saw, E.-W., Bewley, G. P., Ray, S. S., & Bec, J. (2014). Extreme fluctuations of the relative velocities between droplets in turbulent airflow. Physics of Fluids, 26, 111702-1-111702-7. doi:10.1063/1.4900848.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0EF1-B
Abstract
We compare experiments and direct numerical simulations to evaluate the accuracy of the Stokes-drag model, which is used widely in studies of inertial particles in turbulence. We focus on statistics at the dissipation scale and on extreme values of relative particle velocities for moderately inertial particles (St < 1). The probability distributions of relative velocities in the simulations were qualitatively similar to those in the experiments. The agreement improved with increasing Stokes number and decreasing relative velocity. Simulations underestimated the probability of extreme events, which suggests that the Stokes drag model misses important dynamics. Nevertheless, the scaling behavior of the extreme events in both the experiments and the simulations can be captured by the same multi-fractal model.