Clustering of microscopic particles in constricted blood flow

Bächer, Christian; Schrack, Lukas; Gekle, Stephan

doi:10.1103/physrevfluids.2.013102

Cited by 53 publications

(39 citation statements)

References 65 publications

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“…In the linear theory of elasticity, J S 1 + e, with e := θθ + φφ being the trace of the in-plane strain tensor, also know as the dilatation function 57 . In this work, we use the Skalak model to describe the elastic properties of the capsule membrane such that [58][59][60][61] W (I 1 , I 2 ) = κ S 12…”

Section: Shearing Contributionmentioning

confidence: 99%

Hydrodynamic mobility of a solid particle near a spherical elastic membrane. II. Asymmetric motion

2017

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In this paper, we derive analytical expressions for the leading-order hydrodynamic mobility of a small solid particle undergoing motion tangential to a nearby large spherical capsule whose membrane possesses resistance toward shearing and bending. Together with the results obtained in the first part [Daddi-Moussa-Ider and Gekle, Phys. Rev. E 95, 013108 (2017)2470-004510.1103/PhysRevE.95.013108], where the axisymmetric motion perpendicular to the capsule membrane is considered, the solution of the general mobility problem is thus determined. We find that shearing resistance induces a low-frequency peak in the particle self-mobility, resulting from the membrane normal displacement in the same way, although less pronounced, to what has been observed for the axisymmetric motion. In the zero-frequency limit, the self-mobility correction near a hard sphere is recovered only if the membrane has a nonvanishing resistance toward shearing. We further compute the in-plane mean-square displacement of a nearby diffusing particle, finding that the membrane induces a long-lasting subdiffusive regime. Considering capsule motion, we find that the correction to the pair-mobility function is solely determined by membrane shearing properties. Our analytical calculations are compared and validated with fully resolved boundary integral simulations where a very good agreement is obtained.

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Section: Shearing Contributionmentioning

confidence: 99%

Hydrodynamic mobility of a solid particle near a spherical elastic membrane. II. Asymmetric motion

2017

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“…The fomation of a clog suddenly decreases the flow rate of the suspension. Hence, the clogging dynamics is important to a wide range of applications of suspension flow in porous media, from fractured rocks to filters and sensors and in biophysical systems [4][5][6][7][8][9]. Many studies have investigated the trapping of particles leading to the clog formation.…”

Section: Introductionmentioning

confidence: 99%

Growth of clogs in parallel microchannels

Sauret

Somszor²,

Villermaux

et al. 2018

Phys. Rev. Fluids

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During the transport of colloidal suspensions in microchannels, the deposition of particles can lead to the formation of clogs, typically at constrictions. Once a clog is formed in a microchannel, advected particles form an aggregate upstream from the site of the blockage. This aggregate grows over time, which leads to a dramatic reduction of the flow rate. In this paper, we present a model that predicts the growth of the aggregate formed upon clogging of a microchannel. We develop an analytical description that captures the time evolution of the volume of the aggregate, as confirmed by experiments performed using a pressure-driven suspension flow in a microfluidic device. We show that the growth of the aggregate increases the hydraulic resistance in the channel and leads to a drop in the flow rate of the suspensions. We then derive a model for the growth of aggregates in multiple parallel microchannels where the clogging events are described using a stochastic approach. The aggregate growths in the different channels are coupled. Our work illustrates the critical influence of clogging events on the evolution of the flow rate in microchannels. The coupled dynamics of the aggregates described here for parallel channels is key to bridge clogging at the pore scale with macroscopic observations of the flow rate evolution at the filter scale.

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“…The dynamics of deformable particles such as vesicles 11 , capsules 12,13 , or red blood cells 14,15 has mostly been studied at low Reynolds numbers. Deformable particles migrate towards regions of low shear gradient.…”

Section: Introductionmentioning

confidence: 99%

Inertial migration and axial control of deformable capsules

Schaaf

Stark

2017

Soft Matter

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The mechanical deformability of single cells is an important indicator for various diseases such as cancer, blood diseases and inflammation. Lab-on-a-chip devices allow to separate such cells from healthy cells using hydrodynamic forces. We perform hydrodynamic simulations based on the lattice-Boltzmann method and study the behavior of an elastic capsule in a microfluidic channel flow in the inertial regime. While inertial lift forces drive the capsule away from the channel center, its deformability favors migration in the opposite direction. Balancing both migration mechanisms, a deformable capsule assembles at a specific equilibrium distance depending on its size and deformability. We find that this equilibrium distance is nearly independent of the channel Reynolds number and falls on a single master curve when plotted versus the Laplace number. We identify a similar master curve for varying particle radius. In contrast, the actual deformation of a capsule strongly depends on the Reynolds number. The lift-force profiles behave in a similar manner as those for rigid particles. Using the Saffman effect, the capsule's equilibrium position can be controlled by an external force along the channel axis. While rigid particles move to the center when slowed down, very soft capsules show the opposite behavior. Interestingly, for a specific control force particles are focused on the same equilibrium position independent of their deformability.

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Clustering of microscopic particles in constricted blood flow

Cited by 53 publications

References 65 publications

Hydrodynamic mobility of a solid particle near a spherical elastic membrane. II. Asymmetric motion

Hydrodynamic mobility of a solid particle near a spherical elastic membrane. II. Asymmetric motion

Growth of clogs in parallel microchannels

Inertial migration and axial control of deformable capsules

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