Comparison between measurements of elasticity and free amino group content of ovalbumin microcapsule membranes: Discrimination of the cross-linking degree

Chu, Thi-Xuan; Salsac, Anne‐Virginie; Leclerc, Éric; Barthès-Biesel, Dominique; Wurtz, Henry; Edwards-Lévy, Florence

doi:10.1016/j.jcis.2010.11.038

Cited by 48 publications

(58 citation statements)

References 18 publications

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“…The smallest value of G s , which has been found for stable artificial capsules with a thin albumin polymerized membrane ranges between 0.05 and 0.1 N m −1 for a ∼ 50 µm (Lefebvre et al 2008;Chu et al 2011;de Loubens et al 2014;Gubspun et al 2016). The membrane rigidity increases with the radius and becomes of the order of G s = 0.5 ∼ 1 N m −1 for capsules (a ∼ 100-200 µm) with a polymerized albumin or nylon membrane (Koleva & Rehage 2012;de Loubens et al 2014;Gubspun et al 2016).…”

Section: Limits On the Parameter Valuesmentioning

confidence: 93%

Motion of a spherical capsule in branched tube flow with finite inertia

et al. 2016

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We computationally study the transient motion of an initially spherical capsule flowing through a right-angled tube bifurcation, composed of tubes having the same diameter. The capsule motion and deformation is simulated using a three-dimensional immersed-boundary lattice Boltzmann method. The capsule is modelled as a liquid droplet enclosed by a hyperelastic membrane following the Skalak's law (Skalak et al., Biophys. J., vol. 13(3), 1973, pp. 245-264). The fluids inside and outside the capsule are assumed to have identical viscosity and density. We mainly focus on path selection of the capsule at the bifurcation as a function of the parameters of the problem: the flow split ratio, the background flow Reynolds number Re, the capsule-to-tube size ratio a/R and the capillary number Ca, which compares the viscous fluid force acting on the capsule to the membrane elastic force. For fixed physical properties of the capsule and of the tube flow, the ratio Ca/Re is constant. Two size ratios are considered: a/R = 0.2 and 0.4. At low Re, the capsule favours the branch which receives most flow. Inertia significantly affects the background flow in the branched tube. As a consequence, at equal flow split, a capsule tends to flow straight into the main branch as Re is increased. Under significant inertial effects, the capsule can flow into the downstream main tube even when it receives much less flow than the side branch. Increasing Ca promotes cross-stream migration of the capsule towards the side branch. The results are summarized in a phase diagram, showing the critical flow split ratio for which the capsule flows into the side branch as a function of size ratio, Re and Ca/Re. We also provide a simplified model of the path selection of a slightly deformed capsule and explore its limits of validity. We finally discuss the experimental feasibility of the flow system and its applicability to capsule sorting.

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Section: Limits On the Parameter Valuesmentioning

confidence: 93%

Motion of a spherical capsule in branched tube flow with finite inertia

et al. 2016

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“…formable particles as shown byLefebvre et al (2008) andChu et al (2011) using straight tube or channel flows. Unlike these works, transient effects are present in the flow past a corner because of its spatial inhomogeneity.…”

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confidence: 99%

The motion of a deforming capsule through a corner

Zhu

Brandt

2015

J. Fluid Mech.

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A three-dimensional deformable capsule convected through a square duct with a corner is studied via numerical simulations. We develop an accelerated boundary integral implementation adapted to general geometries and boundary conditions. A global spectral method is adopted to resolve the dynamics of the capsule membrane developing elastic tension according to the neo-Hookean constitutive law and bending moments in an inertialess flow. The simulations show that the trajectory of the capsule closely follows the underlying streamlines independently of the capillary number. The membrane deformability, on the other hand, significantly influences the relative area variations, the advection velocity and the principal tensions observed during the capsule motion. The evolution of the capsule velocity displays a loss of the time-reversal symmetry of Stokes flow due to the elasticity of the membrane. The velocity decreases while the capsule is approaching the corner as the background flow does, reaches a minimum at the corner and displays an overshoot past the corner due to the streamwise elongation induced by the flow acceleration in the downstream branch. This velocity overshoot increases with confinement while the maxima of the major principal tension increase linearly with the inverse of the duct width. Finally, the deformation and tension of the capsule are shown to decrease in a curved corner.

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“…Classically produced by interfacial polymerization of an emulsion, the fabricated capsules are quasi-spherical; their wall thickness and mechanical properties depend on the reaction process used to generate the membrane 1,2,3,4 . In many applications, the capsule wall is thin to facilitate the exchanges between the internal and external media.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a Spherical Capsule in a Planar Hyperbolic flow: Influence of bending Resistance

et al. 2015

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We consider an initially spherical capsule freely suspended in a planar hyperbolic flow and study the influence of the wall bending resistance on the capsule dynamics. The capsule wall is assumed to be made of a three-dimensional homogeneous elastic material. The fluid-structure interaction between the capsule and the external flow is modeled numerically by coupling a boundary integral method with a shell finite element method. It is found that, for given three-dimensional wall mechanical properties, the capsule deformability is drastically reduced as the bending resistance is increased. But, if one expresses the same results as a function of the two-dimensional mechanical properties of the mid-surface, which is how the capsule wall is modeled in the thin-shell model, the capsule deformed shape is identical to the one predicted for a capsule devoid of bending resistance. The bending rigidity is found to have a negligible influence on the shape and deformation: the capsule main deformation mode is thus solely a function of the elastic stretching of the mid-surface. The wall bending resistance still plays a role locally in the regions where buckling occurs. Its influence is studied in the low flow strength regime, for which wrinkling of the wall is observed to persist at steady state. We show that the wrinkle wavelength only depends on the bending number, which compares the relative importance of bending and shearing phenomena, and provide the correlation law. This result is interesting as it allows bending resistance to be estimated from experiments on capsules in a planar hyperbolic flow at low flow strength.

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Comparison between measurements of elasticity and free amino group content of ovalbumin microcapsule membranes: Discrimination of the cross-linking degree

Cited by 48 publications

References 18 publications

Motion of a spherical capsule in branched tube flow with finite inertia

Motion of a spherical capsule in branched tube flow with finite inertia

The motion of a deforming capsule through a corner

Dynamics of a Spherical Capsule in a Planar Hyperbolic flow: Influence of bending Resistance

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