The dominant underlying parameters controlling the dispersion of falling particle curtains

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dc.contributor.authorSedaghatizadeh, N.
dc.contributor.authorArjomandi, M.
dc.contributor.authorLau, T.
dc.contributor.authorNathan, G.
dc.date.issued2022
dc.description.abstractA new analytical model of a free-falling curtain of heavier-than-fluid particles from a wedge-shaped hopper in a quiescent medium is presented and used to determine the key underlying–non-dimensional parameters that control its dispersion. The model calculates the particle velocity and the volumetric flow rate of the induced air into the particle stream, using an Eulerian approach based on the momentum transfer between the two phases. It employs a newdragmodel to account for the sphericity of the particles over awide range of Reynolds numbers to achieve a root mean square error of less than 10% in the predicted drag coefficient relative to available data over awide range of sphericities (ψ=0.023−1), even including granular particles. The solid-phase is modelled as a streamof particles, with the dynamics of the streamapproximated by a stream coefficient determined from the published experimental data. The effects of particle size, mass flowrate, sphericity, and particle density on the particle velocity, entrained air, curtain thickness, and solid fraction are incorporated into themodel. The model is used to provide new method of characterising the evolution of falling particle curtains onto a single regime map, which collapses all previous data. The velocity in near-field is controlled by the flow in the hopper. It then transitions to a similarity regime inwhich the mean velocity of particle stream normalised by the terminal velocity of single particle scaleswith the axial distance fromthe nozzle exit normalised by the product of the particle diameter and Froude number. Further downstream again the particles asymptote toward the settling velocity of the individual particles, which is greater when particles are decelerated from above than when accelerated from below. Other insights, such as the role of non-sphericity, are also reported.
dc.description.statementofresponsibilityNima Sedaghatizadeh, Maziar Arjomandi, Timothy Lau, Graham Nathan
dc.identifier.citationPowder Technology, 2022; 402:117343-1-117343-11
dc.identifier.doi10.1016/j.powtec.2022.117343
dc.identifier.issn0032-5910
dc.identifier.issn0032-5910
dc.identifier.orcidArjomandi, M. [0000-0002-7669-2221]
dc.identifier.orcidLau, T. [0000-0003-1851-706X]
dc.identifier.orcidNathan, G. [0000-0002-6922-848X]
dc.identifier.urihttps://hdl.handle.net/2440/146334
dc.language.isoen
dc.publisherElsevier
dc.rights© 2022 Elsevier B.V. All rights reserved.
dc.source.urihttps://doi.org/10.1016/j.powtec.2022.117343
dc.subjectParticle stream; Drag model; Sphericity; Air entrainment
dc.titleThe dominant underlying parameters controlling the dispersion of falling particle curtains
dc.typeJournal article
pubs.publication-statusPublished

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