Permeability of medium composed of cylindrical fibers with fractal porous adlayer

The flow of viscous liquid in the porous medium formed by cylindrical fibers coated with a fractal porous adlayer is considered. Based on the Happel-Brenner cell method, the hydrodynamic permeability of a medium is calculated using the Brinkman equations. The analysis is performed for boundary conditions on cell surfaces of four types corresponding to the Happel, Kuwabara, Kvashnin, and Cunningham models. Different (transversal, longitudinal, and random) orientations of fibers with respect to liquid flow are considered.