3 research outputs found
Conductances between confined rough walls
Two- and three-dimensional creeping flows and diffusion transport through constricted and possibly
rough surfaces are studied. Asymptotic expansions of conductances are derived as functions of the
constriction local geometry. The validity range of the proposed theoretical approximations is
explored through a comparison either with available exact results for specific two-dimensional
aperture fields or with direct numerical computations for general three-dimensional geometries. The
large validity range of the analytical expressions proposed for the hydraulic conductivity (and to a
lesser extent for the electrical conductivity) opens up interesting perspectives for the simulation of
flows in highly complicated geometries with a large number of constrictions