Frictional stress formulation for solid-liquid two-phase flows

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TypeTechnical Report
AbstractA formulation of the frictional stress for flowing granular materials is presented. The objective is to provide a model for the frictional stresses which is suitable for solids-liquid, two-phase flows. The new formulation overcomes the main problem facing two-phase modeling that involves granular materials; namely the ability to account for stagnant regions where the granular phase remains at rest. That behaviour is encountered in several applications such as deposition of tailings and transport of slurries in pipes. The formulation accounts for differing behaviour between contracting and expanding bulk granular materials. This contrasts the familiar approaches which are based on a critical state assumption. The formulation is tested against experimental measurements of passive earth pressure. The comparison shows that the representation of material convergence (or divergence) is key to reproducing the appropriate behaviour. The comparison with experimental data also provides estimates for the values of material properties that are used in the formulation. Additional test cases addressing single-phase solids flow through bins and the formation of granular heaps are also carried out. Those tests illustrate that the formulation produces expected flow patterns.
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AffiliationNRC Canadian Hydraulics Centre; National Research Council Canada
Peer reviewedNo
NRC numberCHC-TR-072
NPARC number17712915
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Record identifier52199b65-4340-4441-9dcb-483ebbbb1290
Record created2011-04-08
Record modified2016-10-03
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