Fluid Dynamics

, Volume 31, Issue 2, pp 249–260 | Cite as

Particle collisions in a turbulent flow

  • I. V. Derevich


An equation for the two-point probability density function of the two-particle the coordinate and velocity distribution is obtained. A closed system of equations for the first and second two-point moments of the velocity fluctuations of a pair of particles with allowance for the turbulent flow inhomogeneity is given. Boundary conditions for the equations of the particle concentration and the intensity of the relative random velocity during particle collision are obtained. A unified formula describing the interparticle collision process as a result of turbulent motion and the average relative particle velocity slip is obtained for the kernel of the coagulation equation. The effect of the average velocity slip of the particles and the carrier phase on the parameters of motion of the dispersed admixture and its coagulation is investigated on the basis of a two-point two-time velocity fluctuation autocorrelation function with two time and space scales representing the energy-bearing and small-scale motion of the fluid phase.


Probability Density Function Velocity Fluctuation Velocity Slip Carrier Phase Turbulent Motion 


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© Plenum Publishing Corporation 1996

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  • I. V. Derevich

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