Flow of viscous liquid in porous model medium with fractal structure

摘要

The flow of viscous liquid in a porous model medium with a fractal structure is considered. The hydrodynamic permeability of a medium is calculated according to the Happel and Brenner cell method using Brinkman equations. An analysis is carried out for boundary conditions on the cell surfaces of four types corresponding to the Happel, Kuwabara, Kvashnin, and Cunningham models. Situations that correspond to the flow of viscous liquid in a porous medium formed by fractal aggregates and the uniform flow of viscous liquid around the single composite particle are analyzed.