EFFECTIVE DIFFUSION COEFFICIENT IN POROUS MEDIA
Abstract:
Recent calculations of upper bounds for the ef fective diffusion coefficient or conductivity in porous media, in terms of certain statistical parameters of the random geometry, are reformulated so as to apply specifically to a bed of spherical particles. The calculations are simplified by considering an idealized bed in which centers are randomly situated without restricting the spheres to nonoverlapping locations. The result, applicable to randomly overlapping spheres either uniform or nonuniform sizes, gives the upper bound for the effective diffusion coeffi cient. The result is compared with experimental results by various investigators for nonoverlapping spheres and also with the best upper bound that can be calculated without taking the sta tistics of a particular random geometry into account.