Modelling of the motion of particles in non-uniform turbulent flow using the equation for the probability density function

Journal of Applied Mathematics and Mechanics

Volumn 61, Issue 1, 1997, Pages 127-133

  Zaichik, L I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031284109     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(97)00015-4     Document Type: Article

References (13)

1. 1. Buyevich, Yu. A., Statistical hydromechanics of disperse systems. P. 1. Physical background and general equations. J. Fluid Mech., 1971, 49, 489-507.
2. 2. Kroshilin, A. Ye., Kukharenko, V. N. and Nigmatulin, B. I., Deposition of particles on the channel walls in gradient turbulent dispersed flow. Izv. Akad. Nauk SSSR. MZhG, 1985, 4, 57-63.
3. 3. Vatazhin, A. B. and Klimenko, A. Yu., Continual models of the motion of inertial particles in laminar and turbulent flows, based on the Fokker-Planck equations. Izv. Ross. Akad. Nauk. MZhG, 1994, 2, 27-35.
4. 4. Derevich, I. V. and Zaichik, L. I., Deposition of particles from turbulent flow. Izv. Akad. Nauk SSSR. MZhG, 1988, 5, 96-104.
5. 5. Derevich, I. V. and Zaichik, L. I., An equation for the probability density of particle velocity and temperature in turbulent flow, modelled by a Gaussian random field, Prikl. Mat. Mekh., 1990, 54(5), 767-774.
6. 6. Reeks, M. W., On a kinetic equation for the transport of particles in turbulent flows. Phys. Fluids A, 1991, 3(3), 446-456.
7. 7. Reeks, M. W., On the continuum equations for dispersed particles in non-uniform flows. Phys. Fluids A, 1992, 4(6), 1290-1303.
8. 8. Klyatskin, V. I., Stochastic Equations and Waves in Randomly Inhomogeneous Media. Nauka, Moscow, 1980.
9. 9. Zaichik, L. I., Models of turbulent momentum and heat transfer in the dispersed phase, based on the equations for the second and third moments of the velocity pulsations and temperature of the particles. Inzh.-Fiz., 1992, 63(4), 404-413.
10. 10. Riley, J. J. and Corrsin, S., The relation of turbulent diffusivities to Lagrangian velocity statistics for the simplest shear flow. J. Geophys. Res., 1974, 79(12), 1768-1771.
11. 11. Batchelor, G. K., Diffusion in a field of homogeneous turbulence. 1. Eulerian analysis. Aust. J. Sci. Res. A, 1949, 2(4), 437-450.
12. 12. Ounis, H. and Ahmadi, G., Motions of small particles in a turbulent simple shear flow field under microgravity condition. Phys. Fluids A, 1991, 3(11), 2559-2570.
13. 13. Reeks, M. W., On the constitutive relations for dispersed particles in nonuniform flows. P. 1: Dispersion in a simple shear flow. Phys. Fluids A, 1993, 5(3), 750-761.