Symmetry breaking and cross-streamline migration of three-dimensional vesicles in an axial Poiseuille flow

Farutin, Alexander; Misbah, Chaouqi

doi:10.1103/physreve.89.042709

Cited by 33 publications

(46 citation statements)

References 57 publications

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“…In 3D, a semi-axisymmetric croissant shape (as opposed to fully axisymmetric parachute shape; see Fig. 1) has also been observed in recent simulations by Farutin et al [8] in unconfined Poiseuille flow. That study reported a phase diagram similar to [5] for near spherical vesicles (ν ≥ 0.9) with viscosity contrast λ = 1.…”

Section: Introductionsupporting

confidence: 75%

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Stable shapes of three-dimensional vesicles in unconfined and confined Poiseuille flow

Agarwal

Biros

2020

Phys. Rev. Fluids

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We use numerical simulations to study the dynamics of three dimensional vesicles in unconfined and confined Poiseuille flow. Previous numerical studies have shown that when the fluid viscosity inside and outside the vesicle is same (no viscosity contrast), a transition from asymmetric slippers to symmetric parachutes takes place as viscous forcing or capillary number is increased. At higher viscosity contrast, an outward migration tendency has also been observed in unconfined flow simulations. In this paper, we study how the presence of viscosity contrast and confining walls affect the dynamics of vesicles and present phase diagrams for confined Poiseuille flow with and without viscosity contrast. To our knowledge, this is the first study that provides a phase diagram for 3D vesicles with viscosity contrast in confined Poiseuille flow. The confining walls push the vesicle towards the center while the viscosity contrast has the opposite effect. This interplay leads to important differences in the dynamics like bistability at high capillary numbers. arXiv:1909.13012v1 [cond-mat.soft]

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Section: Introductionsupporting

confidence: 75%

“…We use this study of unconfined flow with no viscosity contrast (i.e., λ = 1) as a validation of our code as these results have been reported in [8]. In the unconfined Poiseuille flow simulations for reduced volumes ν = 0.90 and 0.95, "slipper ", "croissant" and "parachute" shapes are observed as C a is increased.…”

Section: A Viscosity Contrast λ =mentioning

confidence: 79%

Stable shapes of three-dimensional vesicles in unconfined and confined Poiseuille flow

Agarwal

Biros

2020

Phys. Rev. Fluids

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“…We show the steady state deformation in Figure 2 for Ca = 0.05, 0.3, 0.6. The steady state is nearly spherical for stiff capsules, whereas, by increasing the capillary number, it develops a frontrear asymmetry and displays first a bullet-like, and then a croissant-like shape [41,43,44]. We refer to the shape as "croissant" rather than "parachute" following the convention in [41,44] according to which a "parachute" shape is perfectly axisymmetric.…”

Section: Resultsmentioning

confidence: 99%

“…The steady state is nearly spherical for stiff capsules, whereas, by increasing the capillary number, it develops a frontrear asymmetry and displays first a bullet-like, and then a croissant-like shape [41,43,44]. We refer to the shape as "croissant" rather than "parachute" following the convention in [41,44] according to which a "parachute" shape is perfectly axisymmetric. This is not the case here since the capsule either sees the periodic boundary conditions in z and the walls in y or adapts to the duct square crosssection [43,45].…”

Section: Resultsmentioning

confidence: 99%

Motion of an elastic capsule in a constricted microchannel

et al. 2015

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We study the motion of an elastic capsule through a microchannel characterized by a localized constriction. We consider a capsule with a stress-free spherical shape and impose its steady state configuration in an infinitely long straight channel as the initial condition for our calculations. We report how the capsule deformation, velocity, retention time, and maximum stress of the membrane are affected by the capillary number, Ca, and the constriction shape. We estimate the deformation by measuring the variation of the three-dimensional surface area and a series of alternative quantities easier to extract from experiments. These are the Taylor parameter, the perimeter and the area of the capsule in the spanwise plane. We find that the perimeter is the quantity that reproduces the behavior of the three-dimensional surface area the best. This is maximum at the centre of the constriction and shows a second peak after it, whose location depends on the Ca number. We observe that, in general, area-deformation correlated quantities grow linearly with Ca, while velocity-correlated quantities saturate for large Ca but display a steeper increase for small Ca. The velocity of the capsule divided by the velocity of the flow displays, surprisingly, two different qualitative behaviors for small and large capillary numbers. Finally, we report that longer constrictions and spanwise wall bounded (versus spanwise periodic) domains cause larger deformations and velocities. If the deformation and velocity in the spanwise wall bounded domains are rescaled by the initial equilibrium deformation and velocity, their behavior is undistinguishable from that in a periodic domain. In contrast, a remarkably different behavior is reported in sinusoidally shaped and smoothed rectangular constrictions indicating that the capsule dynamics is particularly sensitive to abrupt changes in the cross section. In a smoothed rectangular constriction larger deformations and velocities occur over a larger distance.

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“…This initial position is chosen since, in pressure-driven flows, deformable objects, e.g., elastic beads, capsules, and cells, naturally migrate toward the channel centerline of axisymmetric channels [36][37][38][39][40][41]. Therefore, the inlet channel can be considered as the final part of a sufficiently long straight channel.…”

Section: Resultsmentioning

confidence: 99%

Numerical design of a T-shaped microfluidic device for deformability-based separation of elastic capsules and soft beads

2017

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Document VersionAccepted manuscript including changes made at the peer-review stage Please check the document version of this publication:• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. (2017). Numerical design of a T-shaped microfluidic device for deformability-based separation of elastic capsules and soft beads. Physical Review E, 96(5), [053103]. DOI: 10.1103/PhysRevE.96.053103 Link to publication Citation for published version (APA): General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. We propose a square cross section microfluidic channel with an orthogonal side branch (asymmetric T-shaped bifurcation) for the separation of elastic capsules and soft beads suspended in a Newtonian liquid on the basis of their mechanical properties.The design is performed through 3D direct numerical simulations.When suspended objects start near the inflow channel centerline and the carrier fluid is equally partitioned between the two outflow branches, particle separation can be achieved based on their deformability, with the stiffer ones going 'straight' and the softer ones being deviated to the 'side' branch. The effects of the geometrical and physical parameters of the system on the phenomenon are investigated.Since cell deformability can be significantly modified by pathology, we give a proof of concept on the possibility of separating diseased cells from healthy ones, thus leading to illness diagnosis.

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Symmetry breaking and cross-streamline migration of three-dimensional vesicles in an axial Poiseuille flow

Cited by 33 publications

References 57 publications

Stable shapes of three-dimensional vesicles in unconfined and confined Poiseuille flow

Stable shapes of three-dimensional vesicles in unconfined and confined Poiseuille flow

Motion of an elastic capsule in a constricted microchannel

Numerical design of a T-shaped microfluidic device for deformability-based separation of elastic capsules and soft beads

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