Interfacial Velocities, Slip Parameters and Other Theoretical Expressions Arising in the Beavers and Joseph Condition

Abstract

The slip hypothesis and the interfacial condition of Beavers and Joseph are discussed in this work, which reports on extensions of this condition to flow through a free-space channel over non-Darcy porous layers, flow through composite porous layers, and flow of pressure-dependent fluids through and over porous layers. Expressions for velocities at the interface and relationships between slip parameters are obtained.