Probability density function of small separation between two inertial particles in homogenous isotropic turbulence

Liu, Tianshu

doi:10.1063/1.3407669

Cited by 3 publications

(3 citation statements)

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“…When a separation r between two inertial particles is sufficiently small in homogenous isotropic turbulence, Liu (2009) gives a random differential equation…”

Section: Probability Of Droplet Collisions In Turbulencementioning

confidence: 99%

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Deposition of micron liquid droplets on wall in impinging turbulent air jet

et al. 2009

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The fluid mechanics of deposition of micron liquid (olive oil) droplets on a glass wall in an impinging turbulent air jet is studied experimentally. The spatial patterns of droplets deposited on a wall are measured by using luminescent oil visualization technique, and the statistical data of deposited droplets are obtained through microscopic imagery. Two distinct rings of droplets deposited on a wall are found, and the mechanisms of the formation of the inner and outer rings are investigated based on global diagnostics of velocity and skin friction fields. In particular, the intriguing effects of turbulence, including large-scale coherent vortices and small-scale random turbulence, on micron droplet deposition on a wall and coalescence in the air are explored.

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“…When a separation r between two inertial particles is sufficiently small in homogenous isotropic turbulence, Liu (2009) gives a random differential equation…”

Section: Probability Of Droplet Collisions In Turbulencementioning

confidence: 99%

“…The Fokker-Planck equation is derived from the random differential equation and a stationary solution for the p.d.f. is sought (Liu 2009). When the correlation between In the statistical mechanical modeling and simulation for collisions between inertial particles, the radial distribution function (r.d.f.…”

Section: Probability Of Droplet Collisions In Turbulencementioning

confidence: 99%

Deposition of micron liquid droplets on wall in impinging turbulent air jet

et al. 2009

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“…A striking effect of turbulence on inertial particle transport is the increase of the collision/coalescence rate found, e.g., for rain drops in warm clouds [1][2][3]. The finite inertia promotes a preferential concentration associated to the formation of multi-scale clusters [4][5][6][7][8]. It also induces large relative velocities between nearby particles, leading to the formation of caustics, where particles with different velocities approach the same location [9][10][11].…”

Section: Introductionmentioning

confidence: 99%