Distribution of velocity gradients and rate of caustic formation in turbulent aerosols at finite Kubo numbers

Abstract

In a one-dimensional model for a turbulent aerosol (inertial particles suspended in a random flow) we compute the distributions of particle-velocity gradients and the rate of caustic formation at finite but small Kubo numbers Ku, for arbitrary Stokes numbers St. Our results are consistent with those obtained earlier in the limit of small Ku and and large St, such that Ku^2 St remains constant. We show how finite-time correlations and non-ergodic effects influence the inertial-particle dynamics at finite but small Kubo numbers.

12 pages, 3 figures

References in corpus (6)

• Heavy particle concentration in turbulence at dissipative and inertial scales
• Caustic activation of rain showers
• Unmixing in Random Flows
• Stokes trapping and planet formation
• Inertial particles driven by a telegraph noise
• Advective collisions

Cited by in corpus (6)

• Caustics and clustering in the vicinity of a vortex
• Paths to caustic formation in turbulent aerosols
• Rate of formation of caustics in heavy particles advected by turbulence
• Weak-strong clustering transition in renewing compressible flows
• Caustic formation in a non-Gaussian model for turbulent aerosols
• Fluid dynamics in clouds: The sum of its parts