ABSTRACT
This chapter explores a free surface flows of Herschel-Bulkley fluids. It shows that gradually varied mudflows considered as shear-thinning yield stress fluids are similar to water flows. Gradually varied steady flow occurs at the approach of a boundary around which the former uniform flow conditions cannot prevail. The chapter considers rapidly varied flows with, in particular, the problems of hydraulic jump and flow through singularities. The equation for the "hydraulic jump" may be found by applying the momentum equation in integral form to a portion of fluid including the jump. With regard to confined flows of Bingham fluids few works concerning lubrication flows are available. The chapter also explores the general flow profile equation for a channel of any cross-section. It also considers the case of an infinitely wide inclined plane.
