Leonid I Zaichik and Vladimir M Alipchenkov 2009 New J. Phys. 11 103018 doi:10.1088/1367-2630/11/10/103018
Statistical models for predicting pair dispersion and particle clustering in isotropic turbulence and their applications
Leonid I Zaichik1,3 and Vladimir M Alipchenkov2
Show affiliationsThe purpose of this paper is twofold: (i) to advance and extend the statistical two-point models of pair dispersion and particle clustering in isotropic turbulence that were previously proposed by Zaichik and Alipchenkov (2003 Phys. Fluids15 1776–87; 2007 Phys. Fluids 19, 113308) and (ii) to present some applications of these models. The models developed are based on a kinetic equation for the two-point probability density function of the relative velocity distribution of two particles. These models predict the pair relative velocity statistics and the preferential accumulation of heavy particles in stationary and decaying homogeneous isotropic turbulent flows. Moreover, the models are applied to predict the effect of particle clustering on turbulent collisions, sedimentation and intensity of microwave radiation as well as to calculate the mean filtered subgrid stress of the particulate phase. Model predictions are compared with direct numerical simulations and experimental measurements.
- PACS
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47.27.Gs Isotropic turbulence; homogeneous turbulence
- Subjects
- Dates
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Issue 10 (October 2009)
Received 17 June 2009
Published 7 October 2009
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Statistical models for predicting pair dispersion and particle clustering in isotropic turbulence and their applications
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