The deformations and stresses during squeeze flows are evaluated for a wider class of
materials than previously covered in articles on this subject. These include generalised …

Viscosity regularisation methods are probably the most popular current method for
computing visco-plastic fluid flows. They are however generally used in an ad hoc manner …

The augmented Lagrangian method is applied to the steady flow problems of Bingham,
Casson and Herschel–Bulkley fluids in pipes of circular and square cross-sections. The plug …

We consider the slow motion of a gas bubble in a cylindrical column filled with a viscoplastic
fluid, modeled here as a Herschel–Bulkley fluid. Because of the yield stress of the fluid, it is …

Ensuring cement sheath placement is of paramount importance for the success of a primary
cementing operation. Poor mud displacement and fluid contamination can lead to cement …

We establish the wellposedness of the time‐independent Navier–Stokes equations with
threshold slip boundary conditions in bounded domains. The boundary condition is a …

We solve numerically the cessation of axisymmetric Poiseuille flow of a Herschel–Bulkley
fluid under the assumption that slip occurs along the wall. The Papanastasiou regularization …

We prove the existence, uniqueness and continuous dependence on the data of weak
solutions to boundary-value problems that model steady flows of incompressible Newtonian …

A theoretical and numerical study of complex sliding flows of yield-stress fluids is presented.
Yield-stress fluids are known to slide over solid surfaces if the tangential stress exceeds the …

We develop an asymptotic solution for the axisymmetric squeeze flow of a viscoplastic
medium. The standard lubrication-style expansions of the problem predict a plug speed …