Relative velocities in bidisperse turbulent suspensions
arXiv:1703.01669 · doi:10.1103/PhysRevE.96.061102
Abstract
We investigate the distribution of relative velocities between small heavy particles of different sizes in turbulence by analysing a statistical model for bidisperse turbulent suspensions, containing particles with two different Stokes numbers. This number, , is a measure of particle inertia which in turn depends on particle size. When the Stokes numbers are similar, the distribution exhibits power-law tails, just as in the case of equal . The power-law exponent is a non-analytic function of the mean Stokes number , so that the exponent cannot be calculated in perturbation theory around the advective limit. When the Stokes-number difference is larger, the power law disappears, but the tails of the distribution still dominate the relative-velocity moments, if is large enough.
revised version, 6 pages, 2 figures, supplemental material
References in corpus (14)
- Heavy particle concentration in turbulence at dissipative and inertial scales
- Caustic activation of rain showers
- Sling effect in collisions of water droplets in turbulent clouds
- Lyapunov exponents of heavy particles in turbulence
- Microbubbles and microparticles are not faithful tracers of turbulent acceleration
- Unmixing in Random Flows
- Stokes trapping and planet formation
- Colliding Particles in Highly Turbulent Flows
- Turbulence-Induced Relative Velocity of Dust Particles II: The Bidisperse Case
- Localization-delocalization transitions in turbophoresis of inertial particles
- Distribution of velocity gradients and rate of caustic formation in turbulent aerosols at finite Kubo numbers
- Turbulence-Induced Relative Velocity of Dust Particles III: The Probability Distribution
- Variable-range Projection Model for Turbulence-driven Collisions
- How Violent are the Collisions of Different Sized Droplets in a Turbulent Flow?
Cited by in corpus (11)
- Statistical models for the dynamics of heavy particles in turbulence
- Condensational and collisional growth of cloud droplets in a turbulent environment
- Effect of turbulence on collisional growth of cloud droplets
- Alignment statistics of rods with the Lagrangian stretching direction in a channel flow
- Relative velocities in bi-disperse turbulent aerosols: simulations and theory
- Caustics in turbulent aerosols form along the Vieillefosse line at weak particle inertia
- Fractal catastrophes
- Caustic formation in a non-Gaussian model for turbulent aerosols
- Heavy particles in a persistent random flow with traps
- Fluid dynamics in clouds: The sum of its parts
- Fractal dimensions and trajectory crossings in correlated random walks