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SPECIAL SECTION ON THE FLUID MECHANICS AND RHEOLOGY OF NONLINEAR MATERIALS AT THE MACRO, MICRO AND NANO SCALE

Momentum Transfer Between Polydisperse Particles in Dense Granular Flow

[+] Author and Article Information
D. Gao1

 Ames Laboratory, Ames, IA 50011

R. Fan

Chemical Engineering Department, Iowa State University, Ames, IA 50011

S. Subramaniam

Mechanical Engineering Department, Iowa State University and Ames Laboratory, Ames, IA 50011

R. O. Fox

Chemical Engineering Department, Iowa State University and Ames Laboratory, Ames, IA 50011

D. Hoffman

 Ames Laboratory, Ames, IA 50011

1

Corresponding author. Email: gao_ma@yahoo.com

J. Fluids Eng 128(1), 62-68 (Apr 12, 2005) (7 pages) doi:10.1115/1.2140803 History: Received May 05, 2004; Revised April 12, 2005

We perform molecular dynamics (MD) simulations (based on the soft-sphere model) of a model dry granular system consisting of two types of spherical particles differing in size and/or density to characterize particle-particle momentum transfer (solid drag). The velocity difference between two types of particles is specified in the initial conditions, and the evolution of relative mean velocity and the velocity fluctuations in terms of granular temperature are quantified. The dependence of the momentum transfer is studied as a function of volume fraction, size and density ratio of the two types of particles, inelasticity, and friction coefficient. An existing continuum model of particle-particle momentum transfer is compared to the MD simulations. A modified continuum solid drag model is suggested for a limited range of parameters.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 2

Velocity difference u12 for ϵ1=ϵ2=0.152, d2∕d1=1∕1, and ρ2∕ρ1=1∕1

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Figure 3

b as a function of total volume fraction ϵs

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Figure 4

Velocity difference u12 at various total volume fractions for d2∕d1=1∕1, ρ2∕ρ1=1∕1, e=0.88, and μ=0.5

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Figure 5

Velocity difference u12 at various densities for ϵ1=ϵ2=0.152 and d2∕d1=1∕1

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Figure 6

Velocity difference u12 at different sizes for e=0.88, μ=0.5, ϵ1=ϵ2=0.152, and ρ2∕ρ1=1

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Figure 7

Granular temperature θ at different sizes for e=0.88, μ=0.5, ϵ1=ϵ2=0.152, and ρ2∕ρ1=1. P1 denotes particle phase 1.

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Figure 8

Radial distribution function g12(r) for two cases of d2∕d1=1 and d2∕d1=1.25∕0.75

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Figure 9

Velocity difference at different sizes for e=1.0, μ=0, ϵ1=ϵ2=0.152, and ρ2∕ρ1=1 “model” means modified model in this work

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Figure 10

Granular temperature θ at different sizes for e=1.0, μ=0, ϵ1=ϵ2=0.152, and ρ2∕ρ1=1. P1 denotes particle phase 1.

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Figure 1

Velocity difference u12 for ϵ1=ϵ2=0.262, d2∕d1=1∕1, and ρ2∕ρ1=1∕1

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