Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts

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dc.contributor.authorValani, R.N.
dc.contributor.authorHarding, B.
dc.contributor.authorStokes, Y.M.
dc.date.issued2022
dc.description.abstractParticles suspended in fluid flow through a curved duct focus to stable equilibrium positions in the duct cross-section due to the balance of two dominant forces: (i) inertial lift force, arising from the inertia of the fluid, and (ii) secondary drag force, resulting from cross-sectional vortices induced by the curvature of the duct. Such particle focusing is exploited in various medical and industrial technologies aimed at separating particles by size. Using the theoretical model developed by Harding, Stokes, and Bertozzi [J. Fluid Mech., 875 (2019), pp. 1–43], we numerically investigate the dynamics of neutrally buoyant particles in fluid flow through curved ducts with rectangular cross-sections at low flow rates. We explore the rich bifurcations that take place in the particle equilibria as a function of three system parameters—particle size, duct bend radius, and aspect ratio of the cross-section. We also explore the transient dynamics of particles as they focus to their equilibria by delineating the effects of these three parameters, as well as the initial location of the particle inside the cross-section, on the focusing dynamics.
dc.description.statementofresponsibilityRahil N. Valani, Brendan Harding, and Yvonne M. Stokes
dc.identifier.citationSIAM Journal on Applied Dynamical Systems, 2022; 21(4):2371-2392
dc.identifier.doi10.1137/21m1451919
dc.identifier.issn1536-0040
dc.identifier.issn1536-0040
dc.identifier.orcidValani, R.N. [0000-0001-8346-0739]
dc.identifier.orcidStokes, Y.M. [0000-0003-0027-6077]
dc.identifier.urihttps://hdl.handle.net/2440/137128
dc.language.isoen
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.granthttp://purl.org/au-research/grants/arc/DP160102021
dc.relation.granthttp://purl.org/au-research/grants/arc/DP200100834
dc.rights© 2022 Society for Industrial and Applied Mathematics
dc.source.urihttps://doi.org/10.1137/21m1451919
dc.subjectinertial particle focusing; inertial migration; inertial microfluidics; inertial lift force; bifurcations
dc.titleBifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts
dc.typeJournal article
pubs.publication-statusPublished online

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