Caustics in turbulent aerosols
arXiv:cond-mat/0403011 · doi:10.1209/epl/i2004-10532-7
Abstract
Networks of caustics can occur in the distribution of particles suspended in a randomly moving gas. These can facilitate coagulation of particles by bringing them into close proximity, even in cases where the trajectories do not coalesce. We show that the long-time morphology of these caustic patterns is determined by the Lyapunov exponents lambda_1, lambda_2 of the suspended particles, as well as the rate J at which particles encounter caustics. We develop a theory determining the quantities J, lambda_1, lambda_2 from the statistical properties of the gas flow, in the limit of short correlation times.
4 pages, 3 figures
References in corpus (4)
Cited by in corpus (91)
- Caustic activation of rain showers
- Statistical models for spatial patterns of heavy particles in turbulence
- The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part I: Simulations without gravitational effects
- Experimental study of inertial particles clustering and settling in homogeneous turbulence
- Sling effect in collisions of water droplets in turbulent clouds
- Collisional Aggregation due to Turbulence
- Turbulent pair dispersion of inertial particles
- The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part II: Simulations with gravitational effects
- Lyapunov exponents of heavy particles in turbulence
- Tumbling of small axisymmetric particles in random and turbulent flows
- Observation of the sling effect
- Multiscale preferential sweeping of particles settling in turbulence
- Distribution of relative velocities in turbulent aerosols
- Turbulence-Induced Relative Velocity of Dust Particles I: Identical Particles
- Clustering of particles falling in a turbulent flow
- Preferential sampling and small-scale clustering of gyrotactic microswimmers in turbulence
- Clustering in mixing flows
- On the relationship between the non-local clustering mechanism and preferential concentration
- Relative Velocity of Inertial Particles in Turbulent Flows
- Prevalence of the sling effect for enhancing collision rates in turbulent suspensions
- Inertial-particle dynamics in turbulent flows: caustics, concentration fluctuations, and random uncorrelated motion
- Statistical models for the dynamics of heavy particles in turbulence
- Unmixing in Random Flows
- Dynamics of small heavy particles in homogeneous turbulence: a Lagrangian experimental study
- Relative velocities of inertial particles in turbulent aerosols
- Stochastic suspensions of heavy particles
- Caustics and clustering in the vicinity of a vortex
- Memory effects in chaotic advection of inertial particles
- Small-scale dynamics of settling, bidisperse particles in turbulence
- Multiscale fluid--particle thermal interaction in isotropic turbulence
- Stokes trapping and planet formation
- Colliding Particles in Highly Turbulent Flows
- Finite-time dynamical phase transition in non-equilibrium relaxation
- Tangling clustering of inertial particles in stably stratified turbulence
- Condensational and collisional growth of cloud droplets in a turbulent environment
- Gyrotactic phytoplankton in laminar and turbulent flows: a dynamical systems approach
- Particle-based modelling of aggregation and fragmentation processes: Fractal-like aggregates
- Distribution of velocity gradients and rate of caustic formation in turbulent aerosols at finite Kubo numbers
- Intermittency in the relative separations of tracers and of heavy particles in turbulent flows
- Inhomogeneous distribution of droplets in cloud turbulence
- Power-law distributions of particle concentration in free-surface flows
- Sticky elastic collisions
- Divergence and convergence of inertial particles in high Reynolds number turbulence
- Particle-Pair Relative Velocity Measurement in High-Reynolds-Number Homogeneous and Isotropic Turbulence Using 4-Frame Particle Tracking Velocimetry
- Coagulation and fragmentation dynamics of inertial particles
- On phoretic clustering of particles in turbulence
- Relative velocities in bidisperse turbulent suspensions
- The influence of Reynolds and Froude number on the motion of settling, bidisperse inertial particles in turbulence
- Ergodic properties of a model for turbulent dispersion of inertial particles
- Relative velocities in bi-disperse turbulent aerosols: simulations and theory
- Spectral characterisation of inertial particle clustering in turbulence
- Analysis of the Correlation Dimension for Inertial Particles
- Inhomogeneities and caustics in the sedimentation of noninertial particles in incompressible flows
- The waltz of tiny droplets and the flow they live in
- Paths to caustic formation in turbulent aerosols
- Inertial particles distribute in turbulence as Poissonian points with random intensity inducing clustering and supervoiding
- Drag enhancement in a dusty Kolmogorov flow
- Collision rate for suspensions at large Stokes numbers - comparing Navier-Stokes and synthetic turbulence
- Quantitative prediction of sling events in turbulence at high Reynolds numbers
- Lyapunov exponents for particles advected in compressible random velocity fields at small and large Kubo numbers
- Caustics in turbulent aerosols form along the Vieillefosse line at weak particle inertia
- Analysis of the forward and backward in time pair-separation PDFs for inertial particles in isotropic turbulence
- Topology of two-dimensional turbulent flows of dust and gas
- Enhanced and suppressed multiscale dispersion of bidisperse inertial particles due to gravity
- Fractal catastrophes
- Instability of a dusty Kolmogorov flow
- Aggregation and fragmentation dynamics in random flows: From tracers to inertial aggregates
- Irreversibility-inversions in 2 dimensional turbulence
- Accumulated densities of sedimenting particles in turbulent flows
- Coagulation of inertial particles in supersonic turbulence
- Concentration fluctuations of large Stokes number particles in a one-dimensional random velocity field
- Transport of condensing droplets in Taylor-Green vortex flow in the presence of thermal noise
- Caustic formation in a non-Gaussian model for turbulent aerosols
- Inertial-particle accelerations in turbulence: a Lagrangian closure
- Developments and difficulties in predicting the relative velocities of inertial particles at the small-scales of turbulence
- Heavy particles in a persistent random flow with traps
- Computing differential operators of the particle velocity in moving particle clouds using tessellations
- Bifurcations in droplet collisions
- Dissecting inertial clustering and sling dynamics in high-Reynolds number particle-laden turbulence
- Clustering and collision of inertial particles in random velocity fields
- Tessellation-based analysis of impurity clustering in the edge plasma of tokamaks
- A map for heavy inertial particles in fluid flows
- Statistics of relative velocity for particles settling under gravity in a turbulent flow
- Fractal dimensions and trajectory crossings in correlated random walks
- Forward and backward in time dispersion of fluid and inertial particles in isotropic turbulence
- Kinetic theory based solutions for particle clustering in turbulent flows
- Active Caustics
- Polydisperse collision kernels in droplet-laden turbulence with implications for rain formation
- Linear stability analysis of particle-laden Couette-Poiseuille flows: effect of porous walls
- A lattice model for the Eulerian description of heavy particle suspensions
- Effects of correlated collisions and intermittency on the growth of lucky droplets