Vesicles in a Poiseuille flow

Abstract

Vesicle dynamics in unbounded Poiseuille flow is analyzed using a small-deformation theory. Our analytical results quantitatively describe vesicle migration and provide new physical insights. At low ratio between the inner and outer viscosity $\lambda$ (i.e. in the tank-treading regime), the vesicle always migrates towards the flow centerline, unlike other soft particles such as drops. Above a critical $\lambda$, vesicle tumbles and cross-stream migration vanishes. A novel feature is predicted, namely the coexistence of two types of nonequilibrium configurations at the centreline, a bullet-like and a parachute-like shapes.

4 pages and 5 figures

References in corpus (6)

• Swinging and Tumbling of Fluid Vesicles in Shear Flow
• Lateral migration of a 2D vesicle in unbounded Poiseuille flow
• Non-inertial lateral migration of vesicles in bounded Poiseuille flow
• Dynamics of a viscous vesicle in linear flows
• Dynamics of nearly spherical vesicles in an external flow
• Dynamics and rheology of a dilute suspension of vesicles: higher order theory

Cited by in corpus (29)

• Tuned, driven, and active soft matter
• Spheres in the vicinity of a bifurcation: elucidating the Zweifach-Fung effect
• Interplay of inertia and deformability on rheological properties of a suspension of capsules
• Fluid Vesicles in Flow
• Surfactant-induced migration of a spherical drop in Stokes flow
• Viscoelastic transient of confined Red Blood Cells
• Red blood cell shape transitions and dynamics in time-dependent capillary flows
• Lift at low Reynolds number
• Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media
• Dynamics of a trapped Brownian particle in shear flows
• Sorting same-size red blood cells in deep deterministic lateral displacement devices
• The motion of a deforming capsule through a corner
• Spatio-temporal dynamics of dilute red blood cell suspensions in a microchannel flow at low Reynolds number
• The mechanical equilibrium of soft solids with surface elasticity
• Slow sedimentation and deformability of charged lipid vesicles
• Stable shapes of three-dimensional vesicles in unconfined and confined Poiseuille flow
• Hydrodynamics of a Semipermeable Vesicle Under Flow and Confinement
• Simple production of cellulose nanofibril microcapsules and the rheology of their suspensions
• Interfacial viscosity-induced suppression of lateral migration of a surfactant-laden droplet in a non-isothermal Poiseuille flow
• Optimal design of deterministic lateral displacement device for viscosity contrast based cell sorting
• Double-mode relaxation of highly deformed vesicles
• Cross-stream transport of asymmetric particles driven by oscillating shear
• Dynamic behaviour of Multilamellar Vesicles under Poiseuille flow
• The probability distribution of a trapped Brownian particle in plane shear flows
• Effective swimming strategies in low Reynolds number flows
• Tank-treading as a means of propulsion in viscous shear flows
• Cross-stream migration of a vesicle in vortical flows
• Lateral migration of living cells in inertial microfluidic systems explored by fully three-dimensional numerical simulation
• Dynamics of an internally actuated weakly elastic sphere in a general quadratic flow