28 research outputs found
Interplay between microdynamics and macrorheology in vesicle suspensions
The microscopic dynamics of objects suspended in a fluid determines the
macroscopic rheology of a suspension. For example, as shown by Danker and
Misbah [Phys. Rev. Lett. {\bf 98}, 088104 (2007)], the viscosity of a dilute
suspension of fluid-filled vesicles is a non-monotonic function of the
viscosity contrast (the ratio between the viscosities of the internal
encapsulated and the external suspending fluids) and exhibits a minimum at the
critical point of the tank-treading-to-tumbling transition. By performing
numerical simulations, we recover this effect and demonstrate that it persists
for a wide range of vesicle parameters such as the concentration, membrane
deformability, or swelling degree. We also explain why other numerical and
experimental studies lead to contradicting results. Furthermore, our
simulations show that this effect even persists in non-dilute and confined
suspensions, but that it becomes less pronounced at higher concentrations and
for more swollen vesicles. For dense suspensions and for spherical (circular in
2D) vesicles, the intrinsic viscosity tends to depend weakly on the viscosity
contrast.Comment: 9 pages, 9 figures, to appear in Soft Matter (2014
Axisymmetric flow due to a Stokeslet near a finite-sized elastic membrane
Elastic confinements play an important role in many soft matter systems and
affect the transport properties of suspended particles in viscous flow. On the
basis of low-Reynolds-number hydrodynamics, we present an analytical theory of
the axisymmetric flow induced by a point-force singularity (Stokeslet) directed
along the symmetry axis of a finite-sized circular elastic membrane endowed
with resistance toward shear and bending. The solution for the viscous
incompressible flow surrounding the membrane is formulated as a mixed boundary
value problem, which is then reduced into a system of dual integral equations
on the inner and outer sides of the domain boundary. We show that the solution
of the elastohydrodynamic problem can conveniently be expressed in terms of a
set of inhomogeneous Fredholm integral equations of the second kind with
logarithmic kernel. Basing on the hydrodynamic flow field, we obtain
semi-analytical expressions of the hydrodynamic mobility function for the
translational motion perpendicular to a circular membrane. The results are
valid to leading-order in the ratio of particle radius to the distance
separating the particle from the membrane. In the quasi-steady limit, we find
that the particle mobility near a finite-sized membrane is always larger than
that predicted near a no-slip disk of the same size. We further show that the
bending-related contribution to the hydrodynamic mobility increases
monotonically upon decreasing the membrane size, whereas the shear-related
contribution displays a minimum value when the particle-membrane distance is
equal to the membrane radius. Accordingly, the system behavior may be shear or
bending dominated, depending on the geometric and elastic properties of the
system. Our results may find applications in the field of nanoparticle-based
sensing and drug delivery systems near elastic cell membranes
How does confinement affect the dynamics of viscous vesicles and red blood cells?
Despite its significance in microfluidics, the effect of confinement on the
transition from the tank-treading (steady motion) to the tumbling (unsteady
motion) dynamical state of deformable micro-particles has not been studied in
detail. In this paper, we investigate the dynamics of a single viscous vesicle
under confining shear as a general model system for red blood cells, capsules,
or viscous droplets. The transition from tank-treading to tumbling motion can
be triggered by the ratio between internal and external fluid viscosities.
Here, we show that the transition can be induced solely by reducing the
confinement, keeping the viscosity contrast constant. The observed dynamics
results from the variation of the relative importance of viscous-, pressure-,
and lubrication-induced torques exerted upon the vesicle. Our findings are of
interest for designing future experiments or microfluidic devices: the
possibility to trigger the tumbling-to-tank-treading transition either by
geometry or viscosity contrast alone opens attractive possibilities for
microrheological measurements as well as the detection and diagnosis of
diseased red blood cells in confined flow.Comment: 8 pages, 8 figures; Soft Matter 201
Forced transport of deformable containers through narrow constrictions
We study, numerically and analytically, the forced transport of deformable
containers through a narrow constriction. Our central aim is to quantify the
competition between the constriction geometry and the active forcing,
regulating whether and at which speed a container may pass through the
constriction and under what conditions it gets stuck. We focus, in particular,
on the interrelation between the force that propels the container and the
radius of the channel, as these are the external variables that may be directly
controlled in both artificial and physiological settings. We present
Lattice-Boltzmann simulations that elucidate in detail the various phases of
translocation, and present simplified analytical models that treat two limiting
types of these membrane containers: deformational energy dominated by the
bending or stretching contribution. In either case we find excellent agreement
with the full simulations, and our results reveal that not only the radius but
also the length of the constriction determines whether or not the container
will pass.Comment: 9 pages, 4 figure
Coexistence of stable branched patterns in anisotropic inhomogeneous systems
A new class of pattern forming systems is identified and investigated:
anisotropic systems that are spatially inhomogeneous along the direction
perpendicular to the preferred one. By studying the generic amplitude equation
of this new class and a model equation, we show that branched stripe patterns
emerge, which for a given parameter set are stable within a band of different
wavenumbers and different numbers of branching points (defects). Moreover, the
branched patterns and unbranched ones (defect-free stripes) coexist over a
finite parameter range. We propose two systems where this generic scenario can
be found experimentally, surface wrinkling on elastic substrates and
electroconvection in nematic liquid crystals, and relate them to the findings
from the amplitude equation.Comment: 7 pages, 4 figure
Non-inertial lateral migration of vesicles in bounded Poiseuille flow
Cross-streamline non-inertial migration of a vesicle in a bounded Poiseuille
flow is investigated experimentally and numerically. The combined effects of
the walls and of the curvature of the velocity profile induce a movement
towards the center of the channel. A migration law (as a function of relevant
structural and flow parameters) is proposed that is consistent with
experimental and numerical results. This similarity law markedly differs from
its analogue in unbounded geometry. The dependency on the reduced volume
and viscosity ratio is also discussed. In particular, the migration
velocity becomes non monotonous as a function of beyond a certain
.Comment: 5 pages, 3 figures. To appear in Phys. Fluid
Complex dynamics of a bilamellar vesicle as a simple model for leukocytes
The influence of the internal structure of a biological cell (e.g., a
leukocyte) on its dynamics and rheology is not yet fully understood. By using
2D numerical simulations of a bilamellar vesicle (BLV) consisting of two
vesicles as a cell model, we find that increasing the size of the inner vesicle
(mimicking the nucleus) triggers a tank-treading-to-tumbling transition. A new
dynamical state is observed, the undulating motion: the BLV inclination with
respect to the imposed flow oscillates while the outer vesicle develops
rotating lobes. The BLV exhibits a non-Newtonian behavior with a time-dependent
apparent viscosity during its unsteady motion. Depending on its inclination and
on its inner vesicle dynamical state, the BLV behaves like a solid or a liquid.Comment: 5 pages, 7 figure