Journal of engineering physics

, Volume 40, Issue 3, pp 257–260 | Cite as

Effect of the weight of the admixture on the turbulence structure of a two-phase jet

  • T. A. Girshovich
  • V. A. Leonov
Article
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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.

Keywords

Statistical Physic Turbulence Structure Prandtl Theory 

Notation

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

lu

mixing length

mp

particle mass

tp

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

δu,δχ

jet boundaries in terms of velocity and concentration

ηu=y/δu

dimensionless velocity ordinate

ηχ=y/δχ

dimensionless concentration ordinate

χ

admixture concentration

um, χm

velocity and the concentration of the admixture at the jet axis

μg

dynamic viscosity of the gas

ρs,ρg

densities of the particle material and of the gas

τg,τp

shearing stresses in the gas and in the “gas” of particles

τm,τ0

shearing stresses in the mixture and in pure gas, respectively

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Literatuee cited

  1. 1.
    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).Google Scholar
  2. 2.
    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.Google Scholar
  3. 3.
    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).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • T. A. Girshovich
    • 1
  • V. A. Leonov
    • 1
  1. 1.S. Ordzhonikidze Moscow Institute of AviationUSSR

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