Energy diffusion in a granular flow of disk shaped solids
type: Item
instance of: scholarly article
title: Energy diffusion in a granular flow of disk shaped solids
zbMATH Open document ID: 0586.73002
DOI: 10.1016/0020-7225(86)90045-5
author: Hayley H. Shen
author: Norbert L. Ackermann
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: The kinetic energy of a granular flow consists in part of the energy associated with the random velocity fluctuations v' of the individual solid particles. When the magnitude of v' varies throughout the flow field a transfer of kinetic energy \(\rho \nu '{}^ 2/2\) occurs that must be considered when evaluating the energy balance relationship. In the present investigation this energy transfer or diffusion is quantified for the flow of a granular continuum consisting of disk-shaped solids. The theoretical development involves a detailed analysis of the binary collision mechanics which results from the interaction between adjacent disks within the granular mixture. The energy diffusion term developed in this investigation, in conjunction with the stress and energy dissipation functions previously reported by the authors, ibid. 22, 829-843 (1984; Zbl 0556.73001), provides all of the constitutive relationships that are necessary to describe the two-dimensional uniform flow of a granular mixture of disk-shaped solids.
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74A99
zbMATH DE Number: 3940792
zbMATH Keywords: kinetic energy
zbMATH Keywords: granular flow
zbMATH Keywords: random velocity fluctuations
zbMATH Keywords: energy balance relationship
zbMATH Keywords: energy transfer
zbMATH Keywords: diffusion
zbMATH Keywords: flow of a granular continuum
zbMATH Keywords: disk-shaped solids
zbMATH Keywords: binary collision mechanics
zbMATH Keywords: two- dimensional uniform flow
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90045-5
OpenAlex ID: W2048641795
cites work: Constitutive equations for a simple shear flow of a disk shaped granular mixture
cites work: Grain flow as a fluid-mechanical phenomenon
cites work: A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles
cites work: Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield
cites work: The stress tensor in a granular flow at high shear rates
description: scientific article; zbMATH DE number 3940792