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TECHNICAL PAPERS

Large-Eddy Simulation With Simplified Collisional Microdynamics in a High Reynolds Number Particle-Laden Channel Flow

[+] Author and Article Information
Anna Chtab

CORIA-UMR 6614, University of Rouen,  Site Universitaire du Madrillet, 76801 Saint-Etienne du Rouvray, FranceLMFA UMR 5509, Ecole Centrale de Lyon, 36 avenue Guy-de-Collongue, 69134 Ecully Cedex, France

Mikhael Gorokhovski1

CORIA-UMR 6614, University of Rouen,  Site Universitaire du Madrillet, 76801 Saint-Etienne du Rouvray, Francemikhael.gorokhovski@ec-lyon.frLMFA UMR 5509, Ecole Centrale de Lyon, 36 avenue Guy-de-Collongue, 69134 Ecully Cedex, Francemikhael.gorokhovski@ec-lyon.fr

1

Corresponding author.

J. Fluids Eng 129(5), 613-620 (Oct 25, 2006) (8 pages) doi:10.1115/1.2717619 History: Received February 17, 2006; Revised October 25, 2006

Computing high Reynolds number channel flows laden by heavy solid particles requires excessive CPU resources to calculate interparticle collisions. Since the frequency of these collisions is high, the kinematic details of each elementary collision may not be essential when calculating particle statistics. In this paper, the dynamics of a particle with a phase trajectory that is discontinuous (due to collisions) is simulated using a hypothetical “noncolliding” particle moving along a trajectory smoothed over interparticle collisions. The statistical temperature of this particle is assumed to be in equilibrium with the statistical “temperature” of the resolved turbulence. This simplified microdynamic is introduced into ballistic calculations of particles within the framework of the “two-way” LES approach. The simulation was conducted specifically to compare the velocity statistics of the hypothetical particle with statistics yielded by measurements in the gas∕particle channel flow and by the LES∕particle approach where binary collisions were simulated. This paper shows that, by assuming the universality of collisional microdynamics, one may predict the experimental observation and the results of detailed simulations without requiring supplementary CPU resources to compute the binary collisions.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Calculation configuration for channel flow

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Figure 2

Comparison of present LES and DNS in the channel single-phase flow with measurements of Kulick (1) and with the LES of Yamomoto (14) and Wang and Squires (11): (a) mean velocity; (b) streamwise variance; (c) wall-normal variance

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Figure 3

Comparison of computed statistics of hypothetical particle with measured statistics of Kulick (1) and the results from the LES of Yamomoto (14), where binary interparticle collisions are simulated (70μm copper particles with mass loading f=0.2): (a) streamwise mean velocity; (b) rms of streamwise velocity; (c) rms of wall-normal velocity. Solid line represents results without considering the interparticle collision.

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Figure 4

Comparison of computed statistics of hypothetical particle velocity with measured statistics of Kulick (1) (50μm glass particles with mass loading f=0.02): (a) streamwise mean velocity; (b) rms of streamwise velocity; (c) rms of wall-normal velocity. Solid line represents results without considering of interparticle collision.

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Figure 5

Comparison of computed statistics of hypothetical particle velocity with measured statistics of Benson and Eaton (3) (150μm glass particles with mass loading f=0.2; channel with perfectly smoothed walls): (a) streamwise mean velocity; (b) rms of streamwise velocity. Solid line represents results without considering the interparticle collision.

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Figure 6

Comparison of computed gas velocity profiles with measurements of Kulick (1), for different mass loadings: (a) Streamwise mean velocity; (b) rms of streamwise velocity; (c) rms of wall-normal velocity. Additional computation for f=1 is presented by the long dashed line.

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Figure 7

Attenuation of turbulence at the channel centerline with different mass loadings of 70μm copper particles: (a)–(c) streamwise velocity spectra in the middle of the centerline with and without considering the collision; (d) gas-phase turbulent kinetic energy and dissipation; filled symbols, measurements of Kulick (1)

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