Effective diffusion and conduction in two‐phase media: A unified approach
Hsueh‐Chia Chang · AIChE Journal · 1983
Abstract A multiscale analysis based on two widely different length scales that exist instagnant two‐phase media is carried out to investigate diffusion and conduction in periodic and random systems. A variational form of the resulting unit cell equations allows one to demonstrate its equivalence to the cell equations of other independent approaches, thus unifying these widely different methods. The variational approach is also shown to facilitate numerical studies and to provide a link between random and periodic media by yielding an upper bound for the effective diffusivity in random media in terms of the periodic one.