On the pressure and stress singularities induced by steady flows of a pair of nonmiscible, incompressible, viscous fluids contacting a wall with slip

An earlier asymptotic analysis identified the flow-induced power and log singularities present when two nonmiscible, incompressible, viscous fluids contact a wall with no slip permitted. Here a parallel asymptotic analysis identifies such singularities in pressures and stresses when slip is admitted. While the singularity exponents for the two types of contact conditions are similar, the angles of interface impingement that have either power or log singularities are usually quite distinct.