Huppert, Herbert E. Quantitative modelling of granular suspension flows. (English) Zbl 0916.76007 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1747, 2471-2496 (1998). Summary: 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. Cited in 9 Documents MSC: 76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena 76M99 Basic methods in fluid mechanics 76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics Keywords:light interstitial fluid; buoyant plumes; uniform box-model solutions; numerical integrations; nonlinear shallow-water equations; mean external flow; polydispersivity PDFBibTeX XMLCite \textit{H. E. Huppert}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1747, 2471--2496 (1998; Zbl 0916.76007) Full Text: DOI