Quantitative modelling of granular suspension flows

A broad review is presented of the flow of particulate suspensions. The fundamental concepts are discussed and the governing equations described. Simplified horizontally uniform box-model solutions are obtained and numerical integrations of the nonlinear shallow-water equations are presented, along with a brief description of an approach using the full power of the techniques of computational fluid dynamics. Extra situations, such as the influence of a mean external flow, interstitial fluid which is less dense than the ambient, plumes, entrainment of the ambient, and polydispersivity, are reviewed. Applications from engineering and the Earth sciences are described.