Non-inertial lateral migration of vesicles in bounded Poiseuille flow

Abstract

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 $\nu$ and viscosity ratio $\lambda$ is also discussed. In particular, the migration velocity becomes non monotonous as a function of $\nu$ beyond a certain $\lambda$.

arXiv comment5 pages, 3 figures. To appear in Phys. Fluids

References in corpus (6)

• Swinging and Tumbling of Fluid Vesicles in Shear Flow
• Lateral migration of a 2D vesicle in unbounded Poiseuille flow
• Dynamics of a viscous vesicle in linear flows
• Influence of shear flow on vesicles near a wall: a numerical study
• Hydrodynamic lift of vesicles under shear flow in microgravity
• The lift on a tank-treading ellipsoidal cell in a bounded shear flow

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