Gas–Solid Particle Flow in Horizontal Channels: Decomposition of the Particle-Phase Flow and Interparticle Collision Effects

[+] Author and Article Information
Alexander Kartushinsky

Laboratory of Multiphase Media Physics, Tallin University of Technology, Tallinn 12618, Estoniaaleksander.kartusinsky@ttu.ee

Efstathios E. Michaelides

Department of Mechanical and Energy Engineering, University of North Texas, Denton, TX 76092emichael@unt.edu

J. Fluids Eng 129(6), 702-712 (Nov 13, 2006) (11 pages) doi:10.1115/1.2734202 History: Received January 23, 2006; Accepted November 13, 2006

This paper examines the turbulent flow of heavy particles in horizontal channels and pipes. Calculations for the fluid are performed within an Eulerian frame of reference, while the particulate phase is considered as several continuous polydisperse media, each constituting a separate phase. The interparticle collisions include two mechanisms: collisions with sliding friction and collisions without sliding friction. The collisions of particles are accounted for, by collisions due to the difference in the average and fluctuating velocities of the several particulate fractions. This work introduces an original model for the closure for the mass and momentum equations based on the collisions as well as an original description of the particle motion in a horizontal channel, by introducing the decomposition of the particle-phase motion into two types of particle phases: falling and rebounding particles. The decomposition allows the correct calculation of the influence of the wall on the motion of particles.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Longitudinal dimensionless velocity profiles of the gas and solid phases across the horizontal pipe from the top (y∕H=0) to the bottom (h∕H=2): d=210μm, m=2.5kg∕kg, u¯=15m∕s

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Figure 2

Dimensionless fluctuation velocity, d=210μm, m=2.5, u¯=15m∕s

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Figure 3

Profiles of particle mass concentrations across the horizontal pipe, d=210μm

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Figure 4

Profiles of collision kinetic energy due to particle fluctuating motion (TNFLK) and average motion (TNAWK), u¯=6m∕s and 15m∕s, m=2.5 and 15

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Figure 5

Profiles of the coefficient of diffusion of collision kinetic energy due to the average motion of particles (DSPAW)

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Figure 6

Profiles of coefficient of diffusion of collision kinetic energy only due to the fluctuating motion of the particles (DSPFL)

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Figure 7

Profiles of turbulent energy of along entire cross section: d=32μm, 44μm, and 88μm

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Figure 8

Profiles of particle mass concentration across the flow channel for particles, u¯=50m∕s

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Figure 9

The effect of the inclusion of the Magnus and Saffman lift forces on the normalized longitudinal velocities of the carrier phase and the particles

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Figure 10

Normalized transverse velocity profiles of the gas and particles with and without the lift forces

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Figure 11

Normalized profiles of particulate mass concentration calculated with and without the lift forces. α0 is the particle mass concentration at the flow axis (y∕H=1).




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