We review viscoplastic flow over inclined surfaces, focusing on constant-flux extrusions from small vents and the slumping of a fixed volume of material. Lubrication theory is used for shallow and slow flows to reduce the governing equations to a nonlinear diffusion-type equation for the local fluid depth; this model is used as the basis for exploration of the problem. Theory is compared to experiments. A number of complications and additional physical effects are discussed that enrich real situations.
Viscoplastic flow over an inclined surface / N.J. Balmforth, R.V. Craster, A.C. Rust, R. Sassi. - In: JOURNAL OF NON-NEWTONIAN FLUID MECHANICS. - ISSN 0377-0257. - 139:1-2(2006 Nov), pp. 103-127. ((Intervento presentato al convegno Workshop on Viscoplastic Fluids tenutosi a Banff nel 2005.
Viscoplastic flow over an inclined surface
R. SassiUltimo
2006
Abstract
We review viscoplastic flow over inclined surfaces, focusing on constant-flux extrusions from small vents and the slumping of a fixed volume of material. Lubrication theory is used for shallow and slow flows to reduce the governing equations to a nonlinear diffusion-type equation for the local fluid depth; this model is used as the basis for exploration of the problem. Theory is compared to experiments. A number of complications and additional physical effects are discussed that enrich real situations.
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