Document Type

Article

Publication Date

2010

Journal or Book Title

Industrial & Engineering Chemistry Research

Volume

49

First Page

5174

Last Page

5187

DOI

10.1021/ie9013138

Abstract

A quadrature-based moment model is derived for moderately dense polydisperse gas-particle flows starting from the inelastic Boltzmann-Enskog kinetic equation including terms for particle acceleration (e.g., gravity and fluid drag). The derivation is carried out for the joint number density function, f(t,x,m,u), of particle mass and velocity, and thus, the model can describe the transport of polydisperse particles with size and density differences. The transport equations for the integer moments of the velocity distribution function are derived in exact form for all values of the coefficient of restitution for particle-particle collisions. For particular limiting cases, the moment model is shown to be consistent with hydrodynamic models for gas-particle flows. However, the moment model is more general than the hydrodynamic models because its derivation does not require that the particle Knudsen number (and Mach number) be small.

Comments

This article is from Industrial & Engineering Chemistry Research 49 (2010): 5174-5187, doi: 10.1021/ie9013138. Posted with permission.

Copyright Owner

American Chemical Society

Language

en

File Format

application/pdf

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