Effective Coefficients of Thermal Conductivity of a Composite with Ellipsoidal Inclusions

A mathematical model of heat transfer in a composite with inclusions of ellipsoidal shape, which have the identical orientation ofprimary axes ofellipsoids, is developed. The estimates of effective coefficients of composite's thermal conductivity are obtained; among them are those derived by using the dual formulation of variational problem of stationary heat conduction, which can be utilizedfor prediction of effective coefficients of thermal conductivity of the composite modified by nanostructural elements including nanotubes.