Dynamics and rheology of a dilute suspension of vesicles: Higher-order theory

Danker, Gerrit; Biben, Thierry; Podgorski, Thomas; Verdier, Claude; Misbah, Chaouqi

doi:10.1103/physreve.76.041905

Cited by 83 publications

(130 citation statements)

References 21 publications

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“…The experimental path across the phase diagram depends on the initial state and the way /s and s are varied. The possibility to observe all dynamical states with the same vesicle, even for ϭ 1 used in the current experiment, complements the previous views based on the shear flow dynamics (2)(3)(4)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20). On the other hand, the experimental approach used here will be advantageous to study the dynamics of other flexible microobjects, including biological membranes and red blood cells, in flow.…”

supporting

confidence: 61%

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Dynamics of a vesicle in general flow

Deschamps

Kantsler

Segre

et al. 2009

Proc. Natl. Acad. Sci. U.S.A.

114

128

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An approach to quantitatively study vesicle dynamics as well as biologically-related micro-objects in a fluid flow, which is based on the combination of a dynamical trap and a control parameter, the ratio of the vorticity to the strain rate, is suggested. The flow is continuously varied between rotational, shearing, and elongational in a microfluidic 4-roll mill device, the dynamical trap, that allows scanning of the entire phase diagram of motions, i.e., tank-treading (TT), tumbling (TU), and trembling (TR), using a single vesicle even at ‫؍‬ in/out ‫؍‬ 1, where in and out are the viscosities of the inner and outer fluids. This cannot be achieved in pure shear flow, where the transition between TT and either TU or TR is attained only at >1. As a result, it is found that the vesicle dynamical states in a general are presented by the phase diagram in a space of only 2 dimensionless control parameters. The findings are in semiquantitative accord with the recent theory made for a quasi-spherical vesicle, although vesicles with large deviations from spherical shape were studied experimentally. The physics of TR is also uncovered. U nderstanding the rheology of biofluids remains a great challenge, whose progress relies, in a large part, on detailed studies of the dynamics of a single cell. Vesicles are a model system used to study the dynamic behavior of biological cells, similar in some respects to red blood cells, and their dynamics in shear flow have been the subject of intensive theoretical (1-8), numerical (9-13), and experimental (14-18) investigations.A vesicle is a droplet of viscous fluid encapsulated by a phospholipid bilayer membrane suspended in a fluid of either the same or different viscosity as the inner one. Both the volume and the surface area of the vesicle are conserved. The former means that the vesicle membrane is considered to be impermeable, at least on the time scale of the experiment, and the latter means that the membrane dilatation is neglected since it is 2D fluid (1,2). Experimental, theoretical, and computational efforts during the last decade led to the observation and characterization of 3 states in vesicle dynamics in shear flow. The existence of the first 2, tank-treading (TT) and tumbling (TU), and the transition between them were already predicted by a phenomenological model of Keller and Skalak (19) and its further extensions (2,11,12). Two control parameters, the excess area ⌬ ϭ A/R 2 -4 and the viscosity contrast ϭ in / out , determine the transition line c (⌬) between TT and TU, which is independent of the shear rate ␥ in the approximation of a fixed vesicle shape, with the vesicle inclination angle with respect to the flow direction as the only dynamical variable (2,9,10,16-19). Here, R is the effective vesicle radius, related to the volume via V ϭ 4/3R 3 , A is the vesicle surface area, and in and out are the viscosities of the inner and outer fluids. Another analytical approach based on a quasi-spherical vesicle approximated by a spherical harmonics expansion used a perturb...

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supporting

confidence: 61%

“…Vesicles are a model system used to study the dynamic behavior of biological cells, similar in some respects to red blood cells, and their dynamics in shear flow have been the subject of intensive theoretical (1)(2)(3)(4)(5)(6)(7)(8), numerical (9)(10)(11)(12)(13), and experimental (14-18) investigations.…”

mentioning

confidence: 99%

Dynamics of a vesicle in general flow

Deschamps

Kantsler

Segre

et al. 2009

Proc. Natl. Acad. Sci. U.S.A.

114

128

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“…1(d)]. This motion is also called trembling [7-9, 16, 17] or vacillating-breathing [13,15]. These three types of motion can be understood by the perturbation theories for quasi-spherical vesicles [15][16][17] or a generalized Keller-Skalak (KS) theory for deformable ellipsoidal vesicles [21].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the dynamics of lipid vesicles in steady shear flow was intensively investigated [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. A lipid vesicle can be considered as a microcapsule in the small limit of the shear modulus µ → 0.…”

Section: Introductionmentioning

confidence: 99%

Dynamic modes of microcapsules in steady shear flow: Effects of bending and shear elasticities

Noguchi

2010

Phys. Rev. E

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The dynamics of microcapsules in steady shear flow was studied using a theoretical approach based on three variables: The Taylor deformation parameter αD, the inclination angle θ, and the phase angle φ of the membrane rotation. It is found that the dynamic phase diagram shows a remarkable change with an increase in the ratio of the membrane shear and bending elasticities. A fluid vesicle (no shear elasticity) exhibits three dynamic modes: (i) Tank-treading (TT) at low viscosity ηin of internal fluid (αD and θ relaxes to constant values), (ii) Tumbling (TB) at high ηin (θ rotates), and (iii) Swinging (SW) at middle ηin and high shear rateγ (θ oscillates). All of three modes are accompanied by a membrane (φ) rotation. For microcapsules with low shear elasticity, the TB phase with no φ rotation and the coexistence phase of SW and TB motions are induced by the energy barrier of φ rotation. Synchronization of φ rotation with TB rotation or SW oscillation occurs with integer ratios of rotational frequencies. At high shear elasticity, where a saddle point in the energy potential disappears, intermediate phases vanish, and either φ or θ rotation occurs. This phase behavior agrees with recent simulation results of microcapsules with low bending elasticity.

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“…The dynamical behavior of fluid vesicles in simple shear flow has been studied experimentally [190][191][192][193], theoretically [194][195][196][197][198][199][200][201], numerically with the boundary-integral technique [202,203] or the phase-field method [203,204], and with mesoscale solvents [37,180,205]. The vesicle shape is now determined by the competition of the curvature elasticity of the membrane, the constraints of constant volume V and constant surface area S, and the external hydrodynamic forces.…”

Section: Fluid Vesicles In Shear Flowmentioning

confidence: 99%

Multi-Particle Collision Dynamics: A Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids

Gompper

Ihle

Kroll

et al.

Advanced Computer Simulation Approaches for Soft Matter Sciences III

362

588

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In this review, we describe and analyze a mesoscale simulation method for fluid flow, which was introduced by Malevanets and Kapral in 1999, and is now called multi-particle collision dynamics (MPC) or stochastic rotation dynamics (SRD). The method consists of alternating streaming and collision steps in an ensemble of point particles. The multi-particle collisions are performed by grouping particles in collision cells, and mass, momentum, and energy are locally conserved. This simulation technique captures both full hydrodynamic interactions and thermal fluctuations. The first part of the review begins with a description of several widely used MPC algorithms and then discusses important features of the original SRD algorithm and frequently used variations. Two complementary approaches for deriving the hydrodynamic equations and evaluating the transport coefficients are reviewed. It is then shown how MPC algorithms can be generalized to model non-ideal fluids, and binary mixtures with a consolute point. The importance of angular-momentum conservation for systems like phase-separated liquids with different viscosities is discussed. The second part of the review describes a number of recent applications of MPC algorithms to study colloid and polymer dynamics, the behavior of vesicles and cells in hydrodynamic flows, and the dynamics of viscoelastic fluids.

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Dynamics and rheology of a dilute suspension of vesicles: Higher-order theory

Cited by 83 publications

References 21 publications

Dynamics of a vesicle in general flow

Dynamics of a vesicle in general flow

Dynamic modes of microcapsules in steady shear flow: Effects of bending and shear elasticities

Multi-Particle Collision Dynamics: A Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids

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