New mathematical models for particle flow dynamics

Document Type

Article

Publication Date

1-1-1999

Abstract

A new class of integro-partial differential equation models is derived for the prediction of granular flow dynamics. These models are obtained using a novel limiting averaging method (inspired by techniques employed in the derivation of infinite-dimensional dynamical systems models) on the Newtonian equations of motion of a many-particle system incorporating widely used inelastic particle-particle force formulas. By using Taylor series expansions, these models can be approximated by a system of partial differential equations of the Navier-Stokes type. The exact or approximate governing equations obtained are far from simple, but they are less complicated than most of the continuum models now being used to predict particle flow behavior. Solutions of the new models for granular flows down inclined planes and in vibrating beds are compared with known experimental and analytical results and good agreement is obtained. © 1999 Taylor & Francis Group, LLC.

Identifier

0004445849 (Scopus)

Publication Title

Journal of Nonlinear Mathematical Physics

External Full Text Location

https://doi.org/10.2991/jnmp.1999.6.2.6

e-ISSN

17760852

ISSN

14029251

First Page

198

Last Page

221

Issue

2

Volume

6

Grant

9420597

Fund Ref

National Science Foundation

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