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Modeling the hydrodynamics of a spouting layer

Abstract

We have developed a multizone hydrodynamic model of a conic spouting layer, consisting of averaged differential mass, momentum and angular momentum equations and accounting for the radial flow of the dispersed phase. We have obtained a numerical solution of the system of equations for the case in which the layer is divided into two zones, which is consistent with experimental data.

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Abbreviations

d:

equivalent diameter of the particles, m

D:

diameter of the inlet opening of the device, m

F:

cross-sectional area of the layer, m2

ffr :

coefficient taking into account the force of particle friction against the device wall and the viscous force of the particles, ffr=2.4–2.6 was taken

g:

acceleration by gravity, m/sec2

H:

initial height of the layer, m

L:

mass flow rate of the gas, kg/sec

P:

gas pressure, Pa

P0 :

gas pressure on the device axis, Pa

r, ϕ:

coordinates of the spherical system

v, w:

velocities of the gas and dispersed phases, m/sec

θ:

angle of taper of the device, deg

κ:

coefficient equal to κ=1–2.2

ε:

layer porosity

μr :

dynamic viscosity of the gas, Pa sec

ρr, ρM :

gas and particle pressure, kg/m3

i:

zone number

1≤i≤n, r, ϕ:

projection on the coordinate axis

m:

zone number pertaining to the boundary of the spout core

O:

value at the point of entry into the layer

−, +:

values at the inner and outer boundaries of the zone, respectively

−:

average over the cross section

1, 2:

values corresponding to the spout core and the peripheral zone

Literature Cited

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Additional information

Academic Scientific Complex “A. V. Lyukov Heat and Mass Transfer Institute, Belorussian Academy of Sciences, Minsk. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 64, No. 3, pp. 350–356, March, 1993

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Akulich, P.V., Kuts, P.S. & Akulich, A.V. Modeling the hydrodynamics of a spouting layer. J Eng Phys Thermophys 64, 284–289 (1993). https://doi.org/10.1007/BF00858596

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Keywords

  • Experimental Data
  • Statistical Physic
  • Angular Momentum
  • Disperse Phase
  • Momentum Equation