Differential multiphase models for polydispersed spheroidal inclusions: thermal conductivity and effective viscosity

The differential scheme is used to construct the effective thermal conductivity and viscosity of multiphase materials, which consist of spheroidal inclusions of diversed sizes randomly distributed in a matrix. The effect of a limited range of sizes of the included phase and locally inhomogeneous distribution of inclusions is taken into account by considering a three-component system, with a fictitious inclusion phase made up of the matrix material, thereby limiting the space available for the real inclusions. (C) 1999 Elsevier Science Ltd. All rights reserved.