Abstract
The inertial lag in particles' response to turbulent motions drives clustering, but differential sedimentation attenuates it when sizes are unequal. We accurately model the radial distribution function of polydisperse sedimenting particles in turbulence by building on previous theory and direct numerical simulations and validate it against available experimental data. Our model suggests that inertial clustering of micron size drops in clouds promotes like-sized drop collision. This can break the bottleneck of small nearly monodisperse droplets formed by condensation and facilitate a transition to rapid differential-sedimentation-driven coalescence which, in turn, leads to precipitation.
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