Transverse motion of an elastic sphere in a shear field

Tam, Christopher K. W.; Hyman, William A.

doi:10.1017/s0022112073001497

Cited by 44 publications

(34 citation statements)

References 10 publications

(2 reference statements)

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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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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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“…Deformable cells experience an additional lift force toward the centerline in confined channels. 38,39 Thus, a larger shear-gradient lift force ͑i.e., larger cell diameter͒ would be required to direct live cells into vortex required for successful trapping.…”

Section: A Flow Visualization and Critical Capturing Diametermentioning

confidence: 99%

High-throughput size-based rare cell enrichment using microscale vortices

2011

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Cell isolation in designated regions or from heterogeneous samples is often required for many microfluidic cell-based assays. However, current techniques have either limited throughput or are incapable of viable off-chip collection. We present an innovative approach, allowing high-throughput and label-free cell isolation and enrichment from heterogeneous solution using cell size as a biomarker. The approach utilizes the irreversible migration of particles into microscale vortices, developed in parallel expansion-contraction trapping reservoirs, as the cell isolation mechanism. We empirically determined the critical particle/cell diameter D crt and the operational flow rate above which trapping of cells/particles in microvortices is initiated. Using this approach we successfully separated larger cancer cells spiked in blood from the smaller blood cells with processing rates as high as 7.5 ϫ 10 6 cells/ s. Viable long-term culture was established using cells collected offchip, suggesting that the proposed technique would be useful for clinical and research applications in which in vitro culture is often desired. The presented technology improves on current technology by enriching cells based on size without clogging mechanical filters, employing only a simple single-layered microfluidic device and processing cell solutions at the ml/min scale.

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“…This and similar techniques were widely used for a variety of different boundary conditions, e.g., those describing Stokesian flows around a submerged fluid drop or gas bubble, elastic particle, particle with a slip surface, etc. [35][36][37][38] Applying the expressions for the fluid velocity field in Eq. ͑6͒ and tangential stress vector in Eq.…”

Section: Solution Of the Unperturbed Problemmentioning

confidence: 99%

Thermophoresis of a slightly deformed aerosol sphere

Senchenko

Keh

2007

Physics of Fluids

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An analytical study is presented for the thermophoretic motion of a freely suspended aerosol particle with an arbitrary, slightly deformed spherical surface in a uniformly prescribed temperature gradient. The Knudsen number is assumed to be small so that the fluid flow is described by a continuum model with a temperature jump, a thermal slip, and a frictional slip at the surface of the particle. A first attempt is made to obtain analytical approximations for the thermophoretic velocity of the particle in the limit of vanishing Peclet and Reynolds numbers. To the first order in the small parameter characterizing the deformation of the spherical shape of the particle, explicit expressions are derived for its drift and rotational velocities. The angular velocity of a particle undergoing thermophoresis is found to be zero for any shape, which is the first indication that the fluid motion around a single thermophoretic particle of an arbitrary shape is irrotational, as is known to be in the case of thin-double-layer electrophoresis. A comparison of our first-order approximation for the thermophoretic velocity of a spheroid with the available exact solution shows that the agreement is quite good, even for relatively large deformations of the spherical shape of the particle. Our results for the motion of a spheroid demonstrate that its relative physical and surface properties, its aspect ratio, and its orientation relative to the imposed temperature gradient can have significant effects on its thermophoretic mobility.

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Transverse motion of an elastic sphere in a shear field

Cited by 44 publications

References 10 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

High-throughput size-based rare cell enrichment using microscale vortices

Thermophoresis of a slightly deformed aerosol sphere

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