Dynamics and rheology of a dilute suspension of vesicles: higher order theory

Abstract

Vesicles under shear flow exhibit various dynamics: tank-treading ($tt$), tumbling ($tb$) and vacillating-breathing ($vb$). A consistent higher order theory reveals a direct bifurcation from $tt$ to $tb$ if $C_a\equiv \tau \dot{\gamma }$ is small enough ($\tau$= vesicle relaxation time towards equilibrium shape, $\dot{\gamma }$=shear rate). At larger $C_a$ the $tb$ is preceded by the $vb$ mode. For $C_a\gg 1$ we recover the leading order original calculation, where the $vb$ mode coexists with $tb$. The consistent calculation reveals several quantitative discrepancies with recent works, and points to new features. We analyse rheology and find that the effective viscosity exhibits a minimum at $tt-tb$ and $tt-vb$ bifurcation points.

4 pages, 5 figures

References in corpus (2)

• Swinging of red blood cells under shear flow
• Dynamics of a viscous vesicle in linear flows

Cited by in corpus (4)

• Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids
• Hydrodynamic lift of vesicles under shear flow in microgravity
• Two-Dimensional Fluctuating Vesicles in Linear Shear Flow
• On the complex dynamics of a red blood cell in simple shear flow