Dynamics of Vesicle Suspensions in Shear Flow Between Walls

Podgorski, Thomas; Callens, Natacha; Minetti, Christophe; Coupier, Gwennou; Dubois, Frank; Misbah, Chaouqi

doi:10.1007/s12217-010-9212-y

Cited by 23 publications

(20 citation statements)

References 14 publications

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“…Such studies include: (a) the characterization of vesicle tank treading/tumbling/swinging motion (Mader et al 2006;Vlahovska & Gracia 2007;Dechamps, Kantsler & Steinberg 2009;; (b) the induced hydrodynamic lift of a single vesicle near a wall (Callens et al 2008;Podgorski et al 2011;Zhao, Spann & Shaqfeh 2011); (c) pair interactions between two vesicles (Kantsler, Segre & Steinberg 2008b;Gires, Danker & Misbah 2012;Zhao & Shaqfeh 2013a); and (d) the measurement of the effective viscosity of a dilute vesicle suspension (Kantsler et al 2008b;Vitkova et al 2008). Recent studies also examine the role of membrane thermal fluctuations on the flow dynamics of vesicles (Zabusky et al 2011;Abreu & Seifert 2013).…”

Section: Introductionmentioning

confidence: 99%

The mechanism of shape instability for a vesicle in extensional flow

2014

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When a flexible vesicle is placed in an extensional flow (planar or uniaxial), it undergoes two unique sets of shape transitions that to the best of the authors' knowledge have not been observed for droplets. At intermediate reduced volumes (i.e. intermediate particle aspect ratio) and high extension rates, the vesicle stretches into an asymmetric dumbbell separated by a long, cylindrical thread. At low reduced volumes (i.e. high particle aspect ratio), the vesicle extends symmetrically without bound, in a manner similar to the breakup of liquid droplets. During this 'burst' phase, 'pearling' occasionally occurs, where the vesicle develops a series of periodic beads in its central neck. In this paper, we describe the physical mechanisms behind these seemingly unrelated instabilities by solving the Stokes flow equations around a single, fluid-filled particle whose interfacial dynamics is governed by a Helfrich energy (i.e. the membranes are inextensible with bending resistance). By examining the linear stability of the steady-state shapes, we determine that vesicles are destabilized by curvature changes on its interface, similar to the Rayleigh-Plateau phenomenon. This result suggests that the vesicle's initial geometry plays a large role in its shape transitions under tension. The stability criteria calculated by our simulations and scaling analyses agree well with available experiments. We hope that this work will lend insight into the stretching dynamics of other types of biological particles with nearly incompressible membranes, such as cells.

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Section: Introductionmentioning

confidence: 99%

The mechanism of shape instability for a vesicle in extensional flow

2014

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“…On the analytical side, the trajectories of interacting vesicles have been recently studied in the limit were they are initially very distant from each other 33 . This study has been later on refined in the case of vesicles located in the same shear plane 34 Along with their influence on rheology, hydrodynamic interactions significantly affect the structure of suspensions, especially in confined flows where a balance between migration away from walls and shear-induced diffusion due to repulsive interactions leads to the formation of a non-homogeneous distribution of vesicles 11 . During heterogeneous interactions of vesicles or capsules with different mechanical or geometrical characteristics, asymmetric displacements take place, which leads to segregation or margination 7,11,[36][37][38] , a phenomenon also observed in blood flows [39][40][41][42] .…”

Section: Introductionmentioning

confidence: 99%

Pairwise hydrodynamic interactions and diffusion in a vesicle suspension

et al. 2014

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The hydrodynamic interaction of two deformable vesicles in shear flow induces a net displacement, in most cases an increase of their distance in the transverse direction. The statistical average of these interactions leads to shear-induced diffusion in the suspension, both at the level of individual particles which experience a random walk made of successive interactions, and at the level of suspension where a non-linear down-gradient diffusion takes place, an important ingredient in the structuring of suspension flows. We make an experimental and computational study of the interaction of a pair of lipid vesicles in shear flow by varying physical parameters, and investigate the decay of the net lateral displacement with the distance between the streamlines on which the vesicles are initially located. This decay and its dependency upon vesicle properties can be accounted for by a simple model based on the well established law for the lateral drift of a vesicle in the vicinity of a wall. In the semi-dilute regime, a determination of self-diffusion coefficients is presented

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“…7,8 In this paper, we develop a model to predict the concentration distribution of deformable particles, and hence the Fahraeus-Lindqvist layer, in Low-Reynolds number, wall-bounded shear flows. This effect is common for all types of deformable-particle suspensions including droplets, 9,10 capsules, 11 vesicles, 12 and red blood cells, 3,13 where the thickness of the Fahraeus-Lindqvist layer is controlled by the competition between a wall-induced hydrodynamic lift force 14,15 and hydrodynamic diffusion from collisional processes. [16][17][18] The method we develop is similar to those described by Zurita-Gotor et al, 19 as well as Kumar and Graham.…”

Section: Introductionmentioning

confidence: 99%

Coarse-grained theory to predict the concentration distribution of red blood cells in wall-bounded Couette flow at zero Reynolds number

Narsimhan¹,

Zhao²,

Shaqfeh³

2013

Physics of Fluids

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We develop a coarse-grained theory to predict the concentration distribution of a suspension of vesicles or red blood cells in a wall-bound Couette flow. This model balances the wall-induced hydrodynamic lift on deformable particles with the flux due to binary collisions, which we represent via a second-order kinetic master equation. Our theory predicts a depletion of particles near the channel wall (i.e., the Fahraeus-Lindqvist effect), followed by a near-wall formation of particle layers. We quantify the effect of channel height, viscosity ratio, and shear-rate on the cell-free layer thickness (i.e., the Fahraeus-Lindqvist effect). The results agree with in vitro experiments as well as boundary integral simulations of suspension flows. Lastly, we examine a new type of collective particle motion for red blood cells induced by hydrodynamic interactions near the wall. These "swapping trajectories," coined by Zurita-Gotor et al. [J. Fluid Mech. 592, 447-469 (2007)], could explain the origin of particle layering near the wall. The theory we describe represents a significant improvement in terms of time savings and predictive power over current large-scale numerical simulations of suspension flows.

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Dynamics of Vesicle Suspensions in Shear Flow Between Walls

Cited by 23 publications

References 14 publications

The mechanism of shape instability for a vesicle in extensional flow

The mechanism of shape instability for a vesicle in extensional flow

Pairwise hydrodynamic interactions and diffusion in a vesicle suspension

Coarse-grained theory to predict the concentration distribution of red blood cells in wall-bounded Couette flow at zero Reynolds number

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