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Inertial Focusing Dynamics of Spherical Particles in Curved Microfluidic Ducts with a Trapezoidal Cross Section.

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Title: Inertial Focusing Dynamics of Spherical Particles in Curved Microfluidic Ducts with a Trapezoidal Cross Section.
Authors: Harding, Brendan1 brendan.harding@vuw.ac.nz, Stokes, Yvonne M.2 yvonne.stokes@adelaide.edu.au, Valani, Rahil N.2 rahil.valani@gmail.com
Source: SIAM Journal on Applied Dynamical Systems. 2024, Vol. 23 Issue 3, p1805-1835. 31p.
Subjects: Lift (Aerodynamics), Drag force, Multiphase flow, Particle dynamics
Abstract: Inertial focusing in curved microfluidic ducts exploits the interaction of the drag force from the Dean flow with the inertial lift force to separate particles or cells laterally across the cross-section width according to their size. Experimental work has identified that using a trapezoidal cross section, as opposed to a rectangular one, can enhance the sized based separation of particles/cells over a wide range of flow rates. Using our model, derived by carefully examining the way the Dean drag and inertial lift forces interact at low flow rates, we calculate the leading order approximation of these forces for a range of trapezoidal ducts, both vertically symmetric and nonsymmetric, with an increasing amount of skew towards the outside wall. We then conduct a systematic study to examine the bifurcations in the particle equilbira that occur with respect to a shape parameter characterizing the trapezoidal cross section. We reveal how the dynamics associated with particle migration are modified by the degree of skew in the cross-section shape, and show the existence of cusp bifurcations (with the bend radius as a second parameter). Additionally, our investigation suggests an optimal amount of skew for the trapezoidal cross section for the purposes of maximizing particle separation over a wide range of bend radii. [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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  Data: Inertial Focusing Dynamics of Spherical Particles in Curved Microfluidic Ducts with a Trapezoidal Cross Section.
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  Data: <searchLink fieldCode="AR" term="%22Harding%2C+Brendan%22">Harding, Brendan</searchLink><relatesTo>1</relatesTo><i> brendan.harding@vuw.ac.nz</i><br /><searchLink fieldCode="AR" term="%22Stokes%2C+Yvonne+M%2E%22">Stokes, Yvonne M.</searchLink><relatesTo>2</relatesTo><i> yvonne.stokes@adelaide.edu.au</i><br /><searchLink fieldCode="AR" term="%22Valani%2C+Rahil+N%2E%22">Valani, Rahil N.</searchLink><relatesTo>2</relatesTo><i> rahil.valani@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Applied+Dynamical+Systems%22">SIAM Journal on Applied Dynamical Systems</searchLink>. 2024, Vol. 23 Issue 3, p1805-1835. 31p.
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  Data: <searchLink fieldCode="DE" term="%22Lift+%28Aerodynamics%29%22">Lift (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Drag+force%22">Drag force</searchLink><br /><searchLink fieldCode="DE" term="%22Multiphase+flow%22">Multiphase flow</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+dynamics%22">Particle dynamics</searchLink>
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  Label: Abstract
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  Data: Inertial focusing in curved microfluidic ducts exploits the interaction of the drag force from the Dean flow with the inertial lift force to separate particles or cells laterally across the cross-section width according to their size. Experimental work has identified that using a trapezoidal cross section, as opposed to a rectangular one, can enhance the sized based separation of particles/cells over a wide range of flow rates. Using our model, derived by carefully examining the way the Dean drag and inertial lift forces interact at low flow rates, we calculate the leading order approximation of these forces for a range of trapezoidal ducts, both vertically symmetric and nonsymmetric, with an increasing amount of skew towards the outside wall. We then conduct a systematic study to examine the bifurcations in the particle equilbira that occur with respect to a shape parameter characterizing the trapezoidal cross section. We reveal how the dynamics associated with particle migration are modified by the degree of skew in the cross-section shape, and show the existence of cusp bifurcations (with the bend radius as a second parameter). Additionally, our investigation suggests an optimal amount of skew for the trapezoidal cross section for the purposes of maximizing particle separation over a wide range of bend radii. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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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: 10.1137/23M1613220
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 31
        StartPage: 1805
    Subjects:
      – SubjectFull: Lift (Aerodynamics)
        Type: general
      – SubjectFull: Drag force
        Type: general
      – SubjectFull: Multiphase flow
        Type: general
      – SubjectFull: Particle dynamics
        Type: general
    Titles:
      – TitleFull: Inertial Focusing Dynamics of Spherical Particles in Curved Microfluidic Ducts with a Trapezoidal Cross Section.
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            NameFull: Harding, Brendan
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            NameFull: Stokes, Yvonne M.
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            NameFull: Valani, Rahil N.
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            – D: 01
              M: 07
              Text: 2024
              Type: published
              Y: 2024
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            – TitleFull: SIAM Journal on Applied Dynamical Systems
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