Squeeze flow of Bingham, Casson and Herschel-Bulkley fluids with yield slip at the wall by accelerated augmented Lagrangian method

Abstract

The squeeze flow of a viscoplastic material between two parallel coaxial disks with yield slip condition at the wall is examined. The governing equations are solved employing the accelerated augmented Lagrangian method for both the viscoplastic model and the yield slip equation. We compute the shape of the yield surface, the velocity and stress fields using the finite difference method. The effect of squeeze flow parameters was studied. We confirm numerically the recently obtained by Muravleva (2017, 2019) asymptotic solutions. Depending on the ratio of two dimensionless parameters, partial slip (stick-slip) or full slip at the wall are possible.