ABSTRACT
This chapter considers the simple case of a "two-dimensional" sheet of fluid flowing over an inclined plane. It explores the simple stoppage problems and the general problem of slow spreading. The chapter also considers the case of the unconfined spreading of fluid over an inclined plane. It also explores the edge shape of simple deposits can be predicted theoretically. The chapter concerns the geometrical form of the front of a wide transient flow on an inclined plane. In addition the relationship between slow transient flow characteristics and rheological parameters may also be useful for the interpretation of mudflow deposit forms in rheological terms. Because of fluid yield stress the thickness of the deposits is significant and this constitutes a fundamental characteristic of mudflows. The chapter utilises the long-wave approximation for the steady three-dimensional flow of a Herschel-Bulkley fluid down a wide inclined plane.
