HEAT AND MASS TRANSPORT IN COMPOSITES OF ALIGNED SLENDER FIBERS.

A theory is presented to describe the time-dependent and steady transport properties of composite media containing randomly placed, aligned slender fibers. The formalism is based on a diagrammatic representation of the multiple scattering expansion for the configurational-averaged Green function. We perform several topological reductions on the series to remove long- wavelength singularities and to render the theory self-consistent. Approximations based partial summation of the renormalized series have structures that are similar to, but distinct from, effective medium theories. The present approach is systematic and retains a unique subset of the multiple scattering series at each level of approximation.