Bifurcations in Inertial Focusing of a Particle Suspended in Flow Through Curved Rectangular Ducts

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dc.contributor.authorValani, R.N.
dc.contributor.authorHarding, B.
dc.contributor.authorStokes, Y.M.
dc.contributor.conferenceInternational Conference on Dynamical Systems Theory and Applications, DSTA 2021 (6 Dec 2021 - 9 Dec 2021 : Lodz, Poland)
dc.contributor.editorAwrejcewicz, J.
dc.date.issued2024
dc.description.abstractParticles suspended in a fluid flow through a curved duct can focus to specific locations within the duct cross-section. This particle focusing is a result of a balance between two dominant forces acting on the particle: (i) the inertial lift force arising from small but non-negligible inertia of the fluid, and (ii) the secondary drag force due to the cross-sectional vortices induced by the curvature of the duct. By adopting a simplified particle dynamics model developed by Ha et al. (Dynamics of small particle inertial migration in curved square ducts, SIAM J. Appl. Dyn. Syst., vol 21, 2022, pp 714–734), we investigate both analytically and numerically, the particle equilibria and their bifurcations when a small particle is suspended in lowflow-rate fluid flow through a curved duct having a 2 × 1 and a 1 × 2 rectangular cross-section. In certain parameter regimes of the model, we analytically obtain the particle equilibria and deduce their stability, while for other parameter regimes, we numerically calculate the particle equilibria and stability. Moreover, we observe a number of different bifurcations in particle equilibria such as saddle-node, pitchfork and Hopf, as the model parameters are varied. These results may aid in the design of inertial microfluidic devices aimed at particle separation by size.
dc.description.statementofresponsibilityRahil N. Valani, Brendan Harding, and Yvonne M. Stokes
dc.identifier.citationSpringer Proceedings in Mathematics and Statistics, 2024 / Awrejcewicz, J. (ed./s), vol.454, pp.667-683
dc.identifier.doi10.1007/978-3-031-56496-3_43
dc.identifier.isbn9783031564956
dc.identifier.issn2194-1009
dc.identifier.issn2194-1017
dc.identifier.orcidValani, R.N. [0000-0001-8346-0739]
dc.identifier.orcidStokes, Y.M. [0000-0003-0027-6077]
dc.identifier.urihttps://hdl.handle.net/2440/143827
dc.language.isoen
dc.publisherSpringer International Publishing
dc.publisher.placeOnline
dc.relation.granthttp://purl.org/au-research/grants/arc/DP160102021
dc.relation.granthttp://purl.org/au-research/grants/arc/DP200100834
dc.relation.ispartofseriesSpringer Proceedings in Mathematics & Statistics
dc.rights© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
dc.source.urihttp://dx.doi.org/10.1007/978-3-031-56496-3_43
dc.subjectBifurcations; Inertial lift; Inertial focusing; Inertial particle focusing; Inertial microfluidics; Particle separation
dc.titleBifurcations in Inertial Focusing of a Particle Suspended in Flow Through Curved Rectangular Ducts
dc.typeConference paper
pubs.publication-statusPublished

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