Abstract
The effect of gravity on the turbulence structure of an inclined two-phase jet is evaluated according to the Prandtl theory of mixing length.
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Abbreviations
- Cx :
-
drag coefficient for a particle
- Dp :
-
particle diameter
- gi :
-
components of the acceleration g due to gravity acting on a particle in the direction of jet flow (gi=g sin α) and in the direction normal to it (gi=g cos α)
- V′poi ±, V′goi ± :
-
fluctuation components of the velocities of the particles and gas, respectively, at the end of a mole formation
- Vfi :
-
free-fall velocity of a particle
- l u :
-
mixing length
- mp :
-
particle mass
- t p :
-
length of time of particle-mole interaction
- V′pi ±, V′gi ± :
-
positive and negative fluctuation velocities of particles and of the gas respectively, with the components u′p ±, u′g ±, v′p ±, v′g ±, k=V′goi/Vfi
- V′∼i ± :
-
relative velocity of the gas
- α :
-
jet inclination angle relative to the earth's surface
- β :
-
empirical constant
- δ u,δ χ :
-
jet boundaries in terms of velocity and concentration
- η u=y/δ u :
-
dimensionless velocity ordinate
- η χ=y/δ χ :
-
dimensionless concentration ordinate
- χ:
-
admixture concentration
- um, χm :
-
velocity and the concentration of the admixture at the jet axis
- μ g :
-
dynamic viscosity of the gas
- ρ s,ρ g :
-
densities of the particle material and of the gas
- τ g,τ p :
-
shearing stresses in the gas and in the “gas” of particles
- τ m,τ 0 :
-
shearing stresses in the mixture and in pure gas, respectively
Literatuee cited
G. N. Abramovich, “Effect of an admixture of solid particles or liquid drops on the structure of a turbulent gas jet,” Dokl. Akad. NaukSSSR,190, 1052–1055 (1970).
G. N. Abramovich and T. A. Girshovich, “Turbulent jets carrying solid or liquid admixtures,” in: Vapor-Liquid Streams [in Russian], A. V. Lykov Inst. Teplo-Mass. Obmena, Akad. Nauk BSSR, Minsk (1977), pp. 155–175.
G. N. Abramovich and T. A. Girshovich, “Diffusion of heavy particles in turbulent gas streams,” Dokl. Akad. Nauk SSSR,212, No. 3, 573–576 (1973).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 3, pp. 422–426, March, 1981.
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Girshovich, T.A., Leonov, V.A. Effect of the weight of the admixture on the turbulence structure of a two-phase jet. Journal of Engineering Physics 40, 257–260 (1981). https://doi.org/10.1007/BF00820550
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DOI: https://doi.org/10.1007/BF00820550