DEVELOPMENT OF CONFINED VISCOPLASTIC FLOWS WITH HETEROGENEOUS WALL SLIP.

The steady, pressure-driven flow of a Herschel-Bulkley fluid in a channel is considered assuming that slip occurs on one wall only due to slip heterogeneities. Hence, the velocity profile is allowed to be asymmetric. The fully-developed solutions are derived and the different flow regimes are identified. The development of the flow is investigated numerically using the Papanastasiou regularization for the constitutive equation, a power-law slip equation, and finite element simulations. The combined effects of slip and the Bingham number are discussed. [ABSTRACT FROM AUTHOR]