Abstract
Based on numerical integration of the equations of mechanics of multiphase media, an effect of focusing of a particle flux generated by a source located on the upper wall of a closed vessel has been revealed and investigated.
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Abbreviations
- t :
-
time
- x, y :
-
Cartesian coordinates
- U1 (u 1, v1),P, ρ1 :
-
velocity, pressure, and density of the gas
- ρ2,U 2 :
-
mean density and velocity of the dispersed phase
- V k , r k :
-
velocity and radius vector of a macroparticle
- g :
-
gravitational acceleration
- e(0–1):
-
gravity force vector
- η:
-
dynamic viscosity of the gas
- f :
-
friction force of particles in the gas
- Eu, Re:
-
Euler and Reynolds numbers
- τ:
-
dimensionless time of the high-rate relaxation of particles
References
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G. M. Makhviladze and O. I. Melikhov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 64–73 (1982).
J. Happel and G. Brenner, Fluid Dynamics at Low Reynolds Numbers [Russian translation], Moscow (1976).
R. I. Nigmatulin, Fundamentals of the Mechanics of Heterogeneous Media [in Russian], Moscow (1978).
G. M. Makhviladze, O. I. Melikhov, and E. B. Soboleva, in: Proc. of the VIII-th All-Union Symposium on Combustion and Explosion [in Russian], Chernogolovka (1986), pp. 20–22.
G. M. Makhviladze and S. B. Shcherbak, Inzh.-Fiz. Zh.,38, 528–538 (1980).
F. Harlaw, Computational Methods in Fluid Dynamics [Russian translation], Moscow (1967), pp. 316–342.
Additional information
Élektrogorsk Research Center, Russia; Institute of Mechanics and Biomechanics, Sofia, Bulgaria; Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 3, pp. 355–360, May–June, 1995.
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Makhviladze, G.M., Melikhov, O.I. & Nikolova, I.P. Hydrodynamic focusing of a particle flux. J Eng Phys Thermophys 68, 297–301 (1995). https://doi.org/10.1007/BF00859038
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DOI: https://doi.org/10.1007/BF00859038