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 (6)

• Fluid Vesicles in Shear Flow
• Swinging of red blood cells under shear flow
• Red blood cells and other non-spherical capsules in shear flow: oscillatory dynamics and the tank-treading-to-tumbling transition
• Swinging and Tumbling of Fluid Vesicles in Shear Flow
• Fluid membranes in hydrodynamic flow fields: Formalism and an application to fluctuating quasi-spherical vesicles in shear flow
• Dynamics of a viscous vesicle in linear flows

Cited by in corpus (29)

• Tuned, driven, and active soft matter
• Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids
• Lateral migration of a 2D vesicle in unbounded Poiseuille flow
• Electrohydrodynamic model of vesicle deformation in alternating electric fields
• Aggregation of Red Blood Cells: From Rouleaux to Clot Formation
• Vesicles in a Poiseuille flow
• Fluid Vesicles in Flow
• Dynamical regimes and hydrodynamic lift of viscous vesicles under shear
• Hydrodynamic lift of vesicles under shear flow in microgravity
• Diffuse interface models of locally inextensible vesicles in a viscous fluid
• Viscoelastic transient of confined Red Blood Cells
• Two-Dimensional Fluctuating Vesicles in Linear Shear Flow
• New analytical progress in the theory of vesicles under linear flow
• Dynamics of Vesicles in shear and rotational flows: Modal Dynamics and Phase Diagram
• Vesicle electrohydrodynamics
• Dynamics of a large population of red blood cells under shear flow
• Noisy nonlinear dynamics of vesicles in flow
• Dynamic Modes of Red Blood Cells in Oscillatory Shear Flow
• Dynamics and Rheology of Vesicle Suspensions in Wall-Bounded Shear Flow
• Dynamic Modes of Microcapsules in Steady Shear Flow: Effects of Bending and Shear Elasticities
• Vesicle dynamics in large amplitude oscillatory extensional flow
• The effect of AC electric field on the dynamics of a vesicle under shear flow in the small deformation regime
• Dynamics of Fluid Vesicles in Oscillatory Shear Flow
• Numerical study of a confined vesicle in shear flow at finite temperature
• Rheological properties of sheared vesicle and cell suspensions
• On the complex dynamics of a red blood cell in simple shear flow
• A theoretical study on the dynamics of a compound vesicle in linear shear flow
• Dynamical behavior of compound vesicles in wall-bounded shear flow
• Enucleated incompressible red blood cells in shear flow: theoretical analysis of shape instabilities