Role of membrane viscosity in the orientation and deformation of a spherical capsule suspended in shear flow

Barthès-Biesel, Dominique; Sgaier, H.

doi:10.1017/s002211208500341x

Cited by 146 publications

(129 citation statements)

References 12 publications

(4 reference statements)

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“…The damped oscillations observed here for droplets at large β also occur for viscoelastic capsules with a high ratio of surface viscosities to shear elasticity, in both our preliminary results and in Yazdani & Bagchi (2013). We also observe convergence to the results of Barthès-Biesel & Sgaier (1985), in the limit of high Bq and vanishing shear elasticity. A subsequent paper will explore viscoelastic capsules in detail.…”

Section: Resultssupporting

confidence: 84%

“…The curve β = 10 has been determined by the additional criterion θ 0 for some time. In the limiting case of Ca = ∞, as predicted by Barthès-Biesel & Sgaier (1985), the droplet displays an undamped oscillation between θ = π/4 and −(π/4).…”

Section: Surface Viscosity Bq = Bq S = Bq Dmentioning

confidence: 76%

“…Borrowing the terminology of Erni (2011), surface viscosity strengths are measured by the dimensionless Boussinesq numbers, Introduced by Barthès-Biesel & Sgaier (1985) for capsules with surface viscosity, β is comparable to the Weissenberg number in rheology. In the part on the results of this paper, we discuss clean drops with a contrast of viscosity λ and drops with a viscous interface.…”

Section: Dimensionless Parameters and Variablesmentioning

confidence: 99%

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Influence of surface viscosity on droplets in shear flow

et al. 2016

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The behaviour of a single droplet in an immiscible external fluid, submitted to shear flow is investigated using numerical simulations. The surface of the droplet is modelled by a Boussinesq-Scriven constitutive law involving the interfacial viscosities and a constant surface tension. A numerical method using Loop subdivision surfaces to represent droplet interface is introduced. This method couples boundary element method for fluid flows and finite element method to take into account the stresses due to the surface dilational and shear viscosities and surface tension. Validation of the numerical scheme with respect to previous analytic and computational work is provided, with particular attention to the viscosity contrast and the shear and dilational viscosities characterized both by a Boussinesq number B q . Then, influence of equal surface viscosities on steady-state characteristics of a droplet in shear flow are studied, considering both small and large deformations and for a large range of bulk viscosity contrast. We find that small deformation analysis is surprisingly predictive at moderate and high surface viscosities. Equal surface viscosities decrease the Taylor deformation parameter and tank-treading angle and also strongly modify the dynamics of the droplet: when the Boussinesq number (surface viscosity) is large relative to the capillary number (surface tension), the droplet displays damped oscillations prior to steady-state tank-treading, reminiscent from the behaviour at large viscosity contrast. In the limit of infinite capillary number Ca, such oscillations are permanent. The influence of surface viscosities on breakup is also investigated, and results show that the critical capillary number is increased. A diagram (B q ; Ca) of breakup is established with the same inner and outer bulk viscosities. Additionally, the separate roles of shear and dilational surface viscosity are also elucidated, extending results from small deformation analysis. Indeed, shear (dilational) surface viscosity increases (decreases) the stability of drops to breakup under shear flow. The steady-state deformation (Taylor parameter) varies nonlinearly with each Boussinesq number or a linear combination of both Boussinesq numbers. Finally, the study shows that for certain combinations of shear and dilational viscosities, drop deformation for a given capillary number is the same as in the case of a clean surface while the inclination angle varies.

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Section: Resultssupporting

confidence: 84%

Section: Surface Viscosity Bq = Bq S = Bq Dmentioning

confidence: 76%

Section: Dimensionless Parameters and Variablesmentioning

confidence: 99%

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Influence of surface viscosity on droplets in shear flow

et al. 2016

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“…Barthes-Biesel and colleagues (Barthes-Biesel and Rallison, 1981;Barthes-Biesel and Sgaier, 1985) studied the motion of an elastic capsule in a linear shear flow under the small deformation regime using perturbation analysis, and obtained the deformation and orientation of the capsule in the shear field. Deformation was found to increase with an increase in the capillary number.…”

Section: Introductionmentioning

confidence: 99%

Shear modulation of intercellular contact area between two deformable cells colliding under flow

Jadhav

Chan

Κωνσταντόπουλος

et al. 2007

Journal of Biomechanics

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Shear rate has been shown to critically affect the kinetics and receptor specificity of cell-cell interactions. In this study, the collision process between two modeled cells interacting in a linear shear flow is numerically investigated. The two identical biological or artificial cells are modeled as deformable capsules composed of an elastic membrane. The cell deformation and trajectories are computed using the Immersed Boundary Method for shear rates of 100-400 s −1 . As the two cells collide under hydrodynamic shear, large local cell deformations develop. The effective contact area between the two cells is modulated by the shear rate, and reaches a maximum value at intermediate levels of shear. At relatively low shear rate, the contact area is an enclosed region. As the shear rate increases, dimples form on the membrane surface, and the contact region becomes annular. The nonmonotonic increase of the contact area with the increase of shear rate from computational results implies that there is a maximum effective receptor-ligand binding area for cell adhesion. This finding suggests the existence of possible hydrodynamic mechanism that could be used to interpret the observed maximum leukocyte aggregation in shear flow. The critical shear rate for maximum intercellular contact area is shown to vary with cell properties such as radius and membrane elastic modulus.

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“…Assuming an initially unstressed spherical capsule with a quadratic strain energy function, linearized equations were solved to obtain the steady-state shape 16 and time evolution 17,18 of capsules in simple flows. Barthes-Biesel and Sgaier 19 used linear theory to study the effect of membrane viscosity and found that purely viscous membranes tumble while particles with viscoelastic membranes orient themselves to the streamlines when the shear rate and relaxation time are of the same order. Large deformations of two-dimensional cylindrical capsules were studied by Rao et al 20 by extending the perturbation equations to include terms of up to sixth order of the perturbation parameter that is proportional to the shear rate.…”

Section: Introductionmentioning

confidence: 99%

Large deformation of red blood cell ghosts in a simple shear flow

1998

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Red blood cells are known to change shape in response to local flow conditions. Deformability affects red blood cell physiological function and the hydrodynamic properties of blood. The immersed boundary method is used to simulate three-dimensional membrane-fluid flow interactions for cells with the same internal and external fluid viscosities. The method has been validated for small deformations of an initially spherical capsule in simple shear flow for both neoHookean and the Evans-Skalak membrane models. Initially oblate spheroidal capsules are simulated and it is shown that the red blood cell membrane exhibits asymptotic behavior as the ratio of the dilation modulus to the extensional modulus is increased and a good approximation of local area conservation is obtained. Tank treading behavior is observed and its period calculated.

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Role of membrane viscosity in the orientation and deformation of a spherical capsule suspended in shear flow

Cited by 146 publications

References 12 publications

Influence of surface viscosity on droplets in shear flow

Influence of surface viscosity on droplets in shear flow

Shear modulation of intercellular contact area between two deformable cells colliding under flow

Large deformation of red blood cell ghosts in a simple shear flow

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