Effect of yield stress on the behavior of rigid zones during the laminar flow of Herschel-Bulkley fluid

Abstract

The paper is devoted to study numerically the evolution of rigid zones that appear during the flow of Herschel-Bulkley fluids. For this aim, we consider a laminar flow of two fluids of this type in a bounded domain. The effect of yield stress on the behavior of rigid zones is examined, and the location of these solid regions is shown. This numerical study allows us to plot and to propose a model that describes the relationship between the area of rigid zones and the yield stress, as well as to clarify the influence of yield stress on the location of solid cores.