Influence of imbedded particles on steady-state diffusion

Abstract

The two-dimensional diffusion behaviour of a composite sheet is studied using numerical techniques. The effective diffusion coefficient is obtained for long particles of a dispersed phase arranged on a regular lattice in a continuum. Typical concentration and flow patterns are presented. The effects of the shape, size and position of the dispersed phase are investigated and the acceptability of existing approximate models is assessed. A new approximate formula is proposed.