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

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Title: Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts.
Authors: Valani, Rahil N.1 rahil.valani@adelaide.edu.au, Harding, Brendan2 brendan.harding@vuw.ac.nz, Stokes, Yvonne M.1 yvonne.stokes@adelaide.edu
Source: SIAM Journal on Applied Dynamical Systems. 2022, Vol. 21 Issue 4, p2371-2392. 22p.
Subjects: Transients (Dynamics), Fluid flow, Lift (Aerodynamics), Granular flow, Drag force, Helmholtz resonators, Fluid-structure interaction
Abstract: Particles 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. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Applied Dynamical Systems is the property of Society for Industrial & Applied Mathematics 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
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DbLabel: Engineering Source
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  Data: Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts.
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  Data: <searchLink fieldCode="AR" term="%22Valani%2C+Rahil+N%2E%22">Valani, Rahil N.</searchLink><relatesTo>1</relatesTo><i> rahil.valani@adelaide.edu.au</i><br /><searchLink fieldCode="AR" term="%22Harding%2C+Brendan%22">Harding, Brendan</searchLink><relatesTo>2</relatesTo><i> brendan.harding@vuw.ac.nz</i><br /><searchLink fieldCode="AR" term="%22Stokes%2C+Yvonne+M%2E%22">Stokes, Yvonne M.</searchLink><relatesTo>1</relatesTo><i> yvonne.stokes@adelaide.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Applied+Dynamical+Systems%22">SIAM Journal on Applied Dynamical Systems</searchLink>. 2022, Vol. 21 Issue 4, p2371-2392. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Transients+%28Dynamics%29%22">Transients (Dynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+flow%22">Fluid flow</searchLink><br /><searchLink fieldCode="DE" term="%22Lift+%28Aerodynamics%29%22">Lift (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Granular+flow%22">Granular flow</searchLink><br /><searchLink fieldCode="DE" term="%22Drag+force%22">Drag force</searchLink><br /><searchLink fieldCode="DE" term="%22Helmholtz+resonators%22">Helmholtz resonators</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid-structure+interaction%22">Fluid-structure interaction</searchLink>
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  Data: Particles 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of SIAM Journal on Applied Dynamical Systems is the property of Society for Industrial & Applied Mathematics 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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        Value: 10.1137/21M1451919
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      – Code: eng
        Text: English
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        PageCount: 22
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      – SubjectFull: Transients (Dynamics)
        Type: general
      – SubjectFull: Fluid flow
        Type: general
      – SubjectFull: Lift (Aerodynamics)
        Type: general
      – SubjectFull: Granular flow
        Type: general
      – SubjectFull: Drag force
        Type: general
      – SubjectFull: Helmholtz resonators
        Type: general
      – SubjectFull: Fluid-structure interaction
        Type: general
    Titles:
      – TitleFull: Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts.
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            NameFull: Valani, Rahil N.
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            NameFull: Harding, Brendan
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            NameFull: Stokes, Yvonne M.
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              M: 10
              Text: 2022
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              Y: 2022
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