Background lectures on ideal visco-plastic fluid flows

Abstract

These notes are intended to supplement a short lecture course covering the theoretical background of the dynamics of ideal visco-plastic fluids, e.g. Bingham fluids, Herschel-Bulkley fluids. They are targeted at an applied mathematics or engineering audience. The intention is to give a non-rigorous introduction to those parts of the theory that: (a) appear to have use in applications; (b) are needed for computational methods; (c) mark out visco-plastic fluids from purely viscous generalised Newtonian fluids.