Diffusion through perforated membranes
V. I. Fabrikant · Journal of Applied Physics · 1987
The diffusion process through a thin membrane, perforated by several holes of arbitrary shape, is considered. A general theorem is established which relates the total flux through each hole with the concentration distribution of some chemical species, prescribed in the hole, by a system of linear algebraic equations. The theorem is applied to the case of arbitrarily located elliptical holes. Several specific examples are considered.