Rheology of foams. I. Theory for dry foams
type: Item
instance of: scholarly article
title: Rheology of foams. I. Theory for dry foams
zbMATH Open document ID: 0619.76013
DOI: 10.1016/0377-0257(86)80001-5
author: S. A. Khan
author: Robert C. Armstrong
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1986-01-01T00:00:00Z
review text: A two-dimensional model for foams having gas volume fraction approaching unity has been developed. A general expression for the stress tensor is obtained which gives the total stress in terms of the shape of the cells, interfacial tension, the initial cell orientation, and the rate of deformation in the liquid. A formalism for describing cell deformation is also presented. By assuming hexagonal, monodisperse foam cells, we are able to obtain analytical expressions for stresses for small shearing and elongational deformations (below the yield strain) as well as for steady shear flow. For strains below the yield point, the stress-strain relation is independent of initial cell orientation. However, the critical strain varies with orientation, and therefore, the yield stress, \(\tau_ 0\), is a function of orientation.
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 4005811
zbMATH Keywords: two-dimensional model
zbMATH Keywords: foams
zbMATH Keywords: gas volume fraction
zbMATH Keywords: total stress
zbMATH Keywords: initial cell orientation
zbMATH Keywords: rate of deformation
zbMATH Keywords: hexagonal, monodisperse foam cells
zbMATH Keywords: elongational deformations
zbMATH Keywords: stress-strain relation
MaRDI profile type: Publication
full work available at URL: 0377-0257(86)80001-5
OpenAlex ID: W2083903589
description: scientific article; zbMATH DE number 4005811