Abstract
On the basis of the kinetic equation for the colliding-particle velocity probability density distribution in a turbulent flow, a model for calculating the dispersed phase motion is constructed for a broad range of variation of the number density and particle size.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
O. Simonin, “Second-moment prediction of dispersed phase turbulence in particle-laden flows,” in:Proc. 8th Symp. on Turbulent Shear Flows, Munich, 7.4.1.–7.4.6 (1991).
M. Y. Louge, E. Mastorakos, and J. T. Jenkins, “The role of particle collisions in pneumatic transport,”J. Fluid Mech.,231, 345 (1991).
M. V. Reeks, “On a kinetic equation for the transport of particles in turbulent flows,”Phys. Fluids A.,3, 446 (1991).
I. V. Derevich and L. I. Zaichik, “Equation for the probability density of the particle velocity and temperature in turbulent flow simulation by a Gaussian random field,”Prikl. Mat. Mekh.,54, 767 (1990).
C. K. K. Lun, S. B. Savage, D. J. Jeffrey, and N. Chepurniy, “Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flow-field,”J. Fluid Mech.,140, 223 (1984).
J. Ding, and D. Gidaspow, “A bubbling fluidization model using kinetic theory of granular flow,”AIChE Journal,36, 523 (1990).
L. I. Zaichik, “Kinetic model for particle transfer in turbulent flows with allowance for collisions,”Inzh.-Fiz. Zh.,63, 44 (1992).
D. L. Koch, “Kinetic theory for a monodisperse gas-solid suspension,”Phys. Fluids,A2, No. 10, 1711 (1990).
J. O. Hirschfelder, C. F. Curtis, and R. B. Bird,Molecular Theory of Gases and Liquids, New York (1965).
S. Ogawa, A. Umemura, and N. Oshima, “On the equation of fully fluidized granular materials,”Z. Ang. Math.,31, 483 (1980).
I. V. Derevich and V. M. Eroshenko, “Calculation of the average phase velocity slip in turbulent multiphase flow,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 69 (1990).
I. N. Gusev, E. I. Guseva, and L. I. Zaichik, “Model of particle deposition from a turbulent gas-solid flow in channels with absorbent walls,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 58 (1992).
V. A. Naumov, “Two approaches to the description of the impact of a spherical body on a rough wall,”Prikl. Mekh.,25, No. 5, 116 (1989).
M. K. Laats and A. S. Mul'gi, “Experimental investigation of the kinematic pattern of finely dispersed pipe flow,” in:Turbulent Two-Phase Flows, Tallinn (1979), P. 32.
S. L. Lee and F. Durst, “On the motion of particles in turbulent duct flows,”Int. J. Multiphase Flow,8, 125 (1982).
L. I. Krupnik, P. V. Ovsienko, V. N. Oleinik, and V. G. Ainshtein, “Chaotic motion of solid particles and energy dissipation in two-phase flow,”Inzh.-Fiz. Zh.,58, 207 (1992).
Y. Tsuji, Y. Morikawa, and H. Shiomi, “LDV measurements of an air-solid two-phase flow in a vertical pipe,”J. Fluid Mech.,139, 417 (1984).
D. D. McCoy and T. J. Hanratty, “Rate of deposition of droplets in angular two-phase flow,”Int. J. Multiphase Flow,3, 319 (1977).
L. J. Forney and L. A. Spilman, “Deposition of coarse aerosols from turbulent flow,”J. Aerosol Sci.,5, 257 (1974).
B. Y. H. Liu and J. K. Agarwal, “Experimental observation of aerosol deposition in turbulent flow,”J. Aerosol Sci.,5, 145 (1974).
E. N. Ganic and K. Mastanaiah, “Investigation of droplet deposition from a turbulent gas stream,”Int. J. Multiphase Flow,7, 401 (1981).
M. M. El-Kassaby and E. N. Ganic, “Droplet deposition in two-phase, turbulent flow,”Int. J. Heat and Mass Transfer,29, 1149 (1986).
M. M. Lee, T. J. Hanratty, and R. J. Adrian, “The interpretation of droplet deposition measurements with a diffusion-model,”Int. J. Multiphase Flow,15, 459 (1989).
J. L. Binder and T. J. Hanratty, “A diffusion-model for droplet deposition in gas-liquid annular-flow,”Int. J. Multiphase Flow,17, 1 (1991).
Additional information
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 62–78, January–February, 1995.
Rights and permissions
About this article
Cite this article
Zaichik, I.I., Pershukov, V.A. Modeling of particle motion in a turbulent flow with allowance for collisions. Fluid Dyn 30, 49–63 (1995). https://doi.org/10.1007/BF02029927
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02029927