Inertial particle focusing in fluid flow through spiral ducts: dynamics, tipping phenomena and particle separation.
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| Title: | Inertial particle focusing in fluid flow through spiral ducts: dynamics, tipping phenomena and particle separation. |
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| Authors: | Valani, Rahil N.1 (AUTHOR) rahil.valani@adelaide.edu.au, Harding, Brendan2 (AUTHOR), Stokes, Yvonne M.1 (AUTHOR) |
| Source: | Journal of Fluid Mechanics. 8/12/2024, Vol. 990, p1-30. 30p. |
| Subjects: | Axial flow, Fluid flow, Particle dynamics, Lift (Aerodynamics), Drag force |
| Abstract: | Small finite-size particles suspended in fluid flow through an enclosed curved duct can focus to points or periodic orbits in the two-dimensional duct cross-section. This particle focusing is due to a balance between inertial lift forces arising from axial flow and drag forces arising from cross-sectional vortices. The inertial particle focusing phenomenon has been exploited in various industrial and medical applications to passively separate particles by size using purely hydrodynamic effects. A fixed size particle in a circular duct with a uniform rectangular cross-section can have a variety of particle attractors, such as stable nodes/spirals or limit cycles, depending on the radius of curvature of the duct. Bifurcations occur at different radii of curvature, such as pitchfork, saddle-node and saddle-node infinite period (SNIPER), which result in variations in the location, number and nature of these particle attractors. By using a quasi-steady approximation, we extend the theoretical model of Harding et al. (J. Fluid Mech. , vol. 875, 2019, pp. 1–43) developed for the particle dynamics in circular ducts to spiral duct geometries with slowly varying curvature, and numerically explore the particle dynamics within. Bifurcations of particle attractors with respect to radius of curvature can be traversed within spiral ducts and give rise to a rich nonlinear particle dynamics and various types of tipping phenomena, such as bifurcation-induced tipping (B-tipping), rate-induced tipping (R-tipping) and a combination of both, which we explore in detail. We discuss implications of these unsteady dynamical behaviours for particle separation and propose novel mechanisms to separate particles by size in a non-equilibrium manner. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 179538254 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Inertial particle focusing in fluid flow through spiral ducts: dynamics, tipping phenomena and particle separation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Valani%2C+Rahil+N%2E%22">Valani, Rahil N.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rahil.valani@adelaide.edu.au</i><br /><searchLink fieldCode="AR" term="%22Harding%2C+Brendan%22">Harding, Brendan</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Stokes%2C+Yvonne+M%2E%22">Stokes, Yvonne M.</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 8/12/2024, Vol. 990, p1-30. 30p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Axial+flow%22">Axial flow</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+flow%22">Fluid flow</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+dynamics%22">Particle dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Lift+%28Aerodynamics%29%22">Lift (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Drag+force%22">Drag force</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Small finite-size particles suspended in fluid flow through an enclosed curved duct can focus to points or periodic orbits in the two-dimensional duct cross-section. This particle focusing is due to a balance between inertial lift forces arising from axial flow and drag forces arising from cross-sectional vortices. The inertial particle focusing phenomenon has been exploited in various industrial and medical applications to passively separate particles by size using purely hydrodynamic effects. A fixed size particle in a circular duct with a uniform rectangular cross-section can have a variety of particle attractors, such as stable nodes/spirals or limit cycles, depending on the radius of curvature of the duct. Bifurcations occur at different radii of curvature, such as pitchfork, saddle-node and saddle-node infinite period (SNIPER), which result in variations in the location, number and nature of these particle attractors. By using a quasi-steady approximation, we extend the theoretical model of Harding et al. (J. Fluid Mech. , vol. 875, 2019, pp. 1–43) developed for the particle dynamics in circular ducts to spiral duct geometries with slowly varying curvature, and numerically explore the particle dynamics within. Bifurcations of particle attractors with respect to radius of curvature can be traversed within spiral ducts and give rise to a rich nonlinear particle dynamics and various types of tipping phenomena, such as bifurcation-induced tipping (B-tipping), rate-induced tipping (R-tipping) and a combination of both, which we explore in detail. We discuss implications of these unsteady dynamical behaviours for particle separation and propose novel mechanisms to separate particles by size in a non-equilibrium manner. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1017/jfm.2024.487 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 30 StartPage: 1 Subjects: – SubjectFull: Axial flow Type: general – SubjectFull: Fluid flow Type: general – SubjectFull: Particle dynamics Type: general – SubjectFull: Lift (Aerodynamics) Type: general – SubjectFull: Drag force Type: general Titles: – TitleFull: Inertial particle focusing in fluid flow through spiral ducts: dynamics, tipping phenomena and particle separation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Valani, Rahil N. – PersonEntity: Name: NameFull: Harding, Brendan – PersonEntity: Name: NameFull: Stokes, Yvonne M. IsPartOfRelationships: – BibEntity: Dates: – D: 12 M: 08 Text: 8/12/2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 00221120 Numbering: – Type: volume Value: 990 Titles: – TitleFull: Journal of Fluid Mechanics Type: main |
| ResultId | 1 |
