Drainage of a Thin Liquid Film Confined between Hydrophobic Surfaces

Hydrodynamic permeability of aggregates of porous particles with an impermeable core

“…Vinogradova [12] pointed out that in most cases the no-slip boundary condition yields the correct results for simple flows, and experiments at macroscopic scales are consistent with the no-slip boundary condition.…”

“…The no-slip boundary condition is in fact an approximation to the Navier boundary condition, corresponding to l  = 0. The limit of infinite slip length corresponds to the conventional condition for а liquid/gas interface (perfect slip) [12]. As the amount of slip is small enough for macroscopic flows, the Navier boundary condition is practically indistinguishable from the no-slip condition in the most cases on the macroscopic scale for smooth surfaces.…”

Force measurements with the atomic force microscope: Technique, interpretation and applications

“…To take slip at the solid surfaces into account Vinogradova introduced a correction factor f * and described the hydrodynamic force by [1027] …”

Microfluidics: The No-Slip Boundary Condition

“…Since stress must be continuous at a liquid-gas interface, a difference of shear viscosities will lead to a difference of strain rates. If a liquid of viscosity µ 1 flows over a layer of height h with viscosity µ 2 , the apparent slip length for the flow above is (see, e.g., [172])…”