Flow of a spherical capsule in a pore with circular or square cross-section

Hu, Xu-Qu; Salsac, Anne‐Virginie; Barthès-Biesel, Dominique

doi:10.1017/jfm.2011.462

Cited by 74 publications

(74 citation statements)

References 28 publications

(59 reference statements)

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“…We validate our code reproducing the case of an initially spherical capsule suspended on the centerline of a straight channel with a square cross section at β = 0.9 and Ca = 0.02 as in Hu et al [30]. The capsule deformed shape is used in the comparison reported in Fig.…”

Section: Numerical Methods and Code Validationmentioning

confidence: 91%

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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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Section: Numerical Methods and Code Validationmentioning

confidence: 91%

“…where p is a pressure, I is the identity tensor, η is the viscosity of the external and internal liquids (assumed to be the same), with a good capability of describing the behavior of capsule membranes of practical interest, e.g., protein-reticulated membranes [30,31].…”

Section: Governing Equationsmentioning

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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“…The three-dimensional capsule membrane is discretized into 32 768 flat triangular elements connecting 16 386 nodes, leading to a maximum element edge length L c ∼ 0.034R and a ratio L c / x < 0.86. We obtain the capsule profiles at equilibrium and compare them with those obtained by Hu, Salsac & Barthès-Biesel (2012) who used a boundary element method. Very good agreement was achieved in all the cases that were tested.…”

Section: Validationmentioning

confidence: 99%

Motion of a spherical capsule in branched tube flow with finite inertia

et al. 2016

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We computationally study the transient motion of an initially spherical capsule flowing through a right-angled tube bifurcation, composed of tubes having the same diameter. The capsule motion and deformation is simulated using a three-dimensional immersed-boundary lattice Boltzmann method. The capsule is modelled as a liquid droplet enclosed by a hyperelastic membrane following the Skalak's law (Skalak et al., Biophys. J., vol. 13(3), 1973, pp. 245-264). The fluids inside and outside the capsule are assumed to have identical viscosity and density. We mainly focus on path selection of the capsule at the bifurcation as a function of the parameters of the problem: the flow split ratio, the background flow Reynolds number Re, the capsule-to-tube size ratio a/R and the capillary number Ca, which compares the viscous fluid force acting on the capsule to the membrane elastic force. For fixed physical properties of the capsule and of the tube flow, the ratio Ca/Re is constant. Two size ratios are considered: a/R = 0.2 and 0.4. At low Re, the capsule favours the branch which receives most flow. Inertia significantly affects the background flow in the branched tube. As a consequence, at equal flow split, a capsule tends to flow straight into the main branch as Re is increased. Under significant inertial effects, the capsule can flow into the downstream main tube even when it receives much less flow than the side branch. Increasing Ca promotes cross-stream migration of the capsule towards the side branch. The results are summarized in a phase diagram, showing the critical flow split ratio for which the capsule flows into the side branch as a function of size ratio, Re and Ca/Re. We also provide a simplified model of the path selection of a slightly deformed capsule and explore its limits of validity. We finally discuss the experimental feasibility of the flow system and its applicability to capsule sorting.

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“…Taking advantage of the linearity of the Stokes equations, boundary integral methods (BIM) (Pozrikidis 1992(Pozrikidis , 2010 are efficient techniques to solve the dynamics of fluidic particles in an external flow. These methods have been successfully applied to red blood cells (Pozrikidis 1995;Zhao et al 2010;Zhao & Shaqfeh 2011), capsules (Lac et al 2007;Walter et al 2011;Hu et al 2012) and vesicles (Ghigliotti et al 2010;Veerapaneni et al 2011;Biben et al 2011;Boedec et al 2012). An appealing feature of BIM is their precision, as they do not need the discretisation of the fluid domain (Pozrikidis 1992).…”

Section: Introductionmentioning

confidence: 99%

On the damped oscillations of an elastic quasi-circular membrane in a two-dimensional incompressible fluid

2014

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We propose a procedure -partly analytical and partly numerical -to find the frequency and the damping rate of the small-amplitude oscillations of a massless elastic capsule immersed in a two-dimensional viscous incompressible fluid. The unsteady Stokes equations for the stream function are decomposed onto normal modes for the angular and temporal variables, leading to a fourth-order linear ordinary differential equation in the radial variable. The forcing terms are dictated by the properties of the membrane, and result into jump conditions at the interface between the internal and external media. The equation can be solved numerically, and an excellent agreement is found with a fullycomputational approach we developed in parallel. Comparisons are also shown with the results available in the scientific literature for drops, and a model based on the concept of embarked fluid is presented, which allows for a good representation of the results and a consistent interpretation of the underlying physics.

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Flow of a spherical capsule in a pore with circular or square cross-section

Cited by 74 publications

References 28 publications

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

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

Motion of a spherical capsule in branched tube flow with finite inertia

On the damped oscillations of an elastic quasi-circular membrane in a two-dimensional incompressible fluid

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