Effect of inertial lift on a spherical particle suspended in flow through a curved duct

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dc.contributor.authorHarding, T.
dc.contributor.authorStokes, Y.M.
dc.contributor.authorBertozzi, A.L.
dc.date.issued2019
dc.description.abstractWe develop a model of the forces on a spherical particle suspended in flow through a curved duct under the assumption that the particle Reynolds number is small. This extends an asymptotic model of inertial lift force previously developed to study inertial migration in straight ducts. Of particular interest is the existence and location of stable equilibria within the cross-sectional plane towards which particles migrates. The Navier-Stokes equations determine the hydrodynamic forces acting on a particle. A leading order model of the forces within the cross-sectional plane is obtained through the use of a rotating coordinate system and a perturbation expansion in the particle Reynolds number of the disturbance flow. We predict the behaviour of neutrally buoyant particles at low flow rates and examine the variation in focusing position with respect to particle size and bend radius, independent of the flow rate. In this regime, the lateral focusing position of particles approximately collapses with respect to a dimensionless parameter dependent on three length scales, specifically the particle radius, duct height, and duct bend radius. Additionally, a trapezoidal shaped cross-section is considered in order to demonstrate how changes in the cross-section design influence the dynamics of particles.
dc.description.statementofresponsibilityBrendan Harding, Yvonne M. Stokes and Andrea L. Bertozzi
dc.identifier.citationJournal of Fluid Mechanics, 2019; 875:1-43
dc.identifier.doi10.1017/jfm.2019.323
dc.identifier.issn0022-1120
dc.identifier.issn1469-7645
dc.identifier.orcidHarding, T. [0000-0002-6755-9998]
dc.identifier.orcidStokes, Y.M. [0000-0003-0027-6077]
dc.identifier.urihttp://hdl.handle.net/2440/121434
dc.language.isoen
dc.publisherCambridge University Press (CUP)
dc.relation.granthttp://purl.org/au-research/grants/arc/DP160102021
dc.relation.granthttp://purl.org/au-research/grants/arc/FT160100108
dc.rights© Cambridge University Press 2019
dc.source.urihttps://doi.org/10.1017/jfm.2019.323
dc.subjectMicrofluidics
dc.subjectparticle/fluid flows
dc.titleEffect of inertial lift on a spherical particle suspended in flow through a curved duct
dc.typeJournal article
pubs.publication-statusPublished

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