The effective thermal conductivity of a suspension
type: Item
instance of: scholarly article
title: The effective thermal conductivity of a suspension
zbMATH Open document ID: 0604.76084
DOI: 10.1016/0021-8928(84)90088-1
author: A. M. Golovin
author: V. E. Chizhov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The effective thermal conductivity of an inhomogeneous suspension is considered for the case of low and moderate volume densities of randomly distributed spherical particles. A mathematical apparatus of convolutions of the \(\Lambda\)-functions is developed enabling closed formulas to be derived for the dipole moment of a particle in the system. An exact expression for the dipole moment averaged over the ensemble that is accurate to terms of the order of the square of the particle density is given for a spatially homogeneous distribution of particles. The effective thermal conductivity of the suspension is calculated to the same approximation. It is shown that when the region occupied by the spherical particles represents an ellipsoid of revolution and the temperature gradient away from this region tends to a given constant value, the effective thermal conductivity becomes independent of the ratio of the ellipsoid semiaxes, i.e. independent of the form of the region occupied by the system.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3976664
zbMATH Keywords: effective thermal conductivity
zbMATH Keywords: inhomogeneous suspension
zbMATH Keywords: randomly distributed spherical particles
zbMATH Keywords: convolutions
zbMATH Keywords: dipole moment of a particle
zbMATH Keywords: spatially homogeneous distribution of particles
zbMATH Keywords: ellipsoid of revolution
MaRDI profile type: Publication
full work available at URL: 0021-8928(84)90088-1
OpenAlex ID: W1982246811
cites work: Effective thermal conductivity of a suspension
cites work: Q5735118
cites work: Q3960213
cites work: Sedimentation in a dilute dispersion of spheres
cites work: Q5601079
description: scientific article; zbMATH DE number 3976664