1904
DOI: 10.1061/taceat.0001655
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On Sedimentation

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Cited by 96 publications
(16 citation statements)
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“…where c(r, t) is the volume concentration of particles, r is the horizontal distance from the plume center, h(r, t) is the thickness of the umbrella layer, u(r, t) is the thickness-averaged horizontal velocity of the flow, and w s is the settling speed of the particle species being considered. The right-hand side represents the rate of particle fallout, which is modeled as proportional to the concentration and the settling speed 42,43,67,68 . Numerical analysis of the fully time-dependent gravitycurrent equations 66 shows that the current extends along a near-steady envelope.…”
Section: Methodsmentioning
confidence: 99%
“…where c(r, t) is the volume concentration of particles, r is the horizontal distance from the plume center, h(r, t) is the thickness of the umbrella layer, u(r, t) is the thickness-averaged horizontal velocity of the flow, and w s is the settling speed of the particle species being considered. The right-hand side represents the rate of particle fallout, which is modeled as proportional to the concentration and the settling speed 42,43,67,68 . Numerical analysis of the fully time-dependent gravitycurrent equations 66 shows that the current extends along a near-steady envelope.…”
Section: Methodsmentioning
confidence: 99%
“…A step-like concentration gradient develops at the base of the upper layer, as some particles settle from the layer, while others are swept back into it by turbulence rather than settling through the boundary. The solution is well-known in volcanology and sedimentation research generally [21,60,61]:…”
Section: Eulerian Analytical Formulationmentioning
confidence: 99%
“…where 1 ¡ n is the solid mass fraction and v s represents the mean settling speed of particles in the current, which, for simplicity, we take as being constant (Bursik & Woods 1996). The sedimentation law (3.3) is a generalization of the settling law that has been introduced by various authors following Hazen (1904). Essentially, the law implies that particles that are swept to the base of the ®ow settle from the dilute suspension and into the basal deposit or some dense under®ow.…”
Section: The Gravity-driven°owmentioning
confidence: 99%