Two-dimensional Vesicle dynamics under shear flow: effect of confinement

TL;DR

This study uses two-dimensional lattice-Boltzmann simulations to explore how confinement affects vesicle dynamics under shear flow, revealing that increased confinement alters inclination angles, tank-treading velocity, and effective viscosity.

Contribution

It adapts the lattice-Boltzmann method for vesicle simulation and investigates the underexplored impact of confinement on vesicle behavior in shear flow.

Findings

Inclination angle decreases with confinement.

Tank-treading velocity decreases with confinement.

Effective viscosity shows nonlinear behavior at high confinement.

Abstract

Dynamics of a single vesicle under shear flow between two parallel plates is studied using two-dimensional lattice-Boltzmann simulations. We first present how we adapted the lattice-Boltzmann method to simulate vesicle dynamics, using an approach known from the immersed boundary method. The fluid flow is computed on an Eulerian regular fixed mesh while the location of the vesicle membrane is tracked by a Lagrangian moving mesh. As benchmarking tests, the known vesicle equilibrium shapes in a fluid at rest are found and the dynamical behavior of a vesicle under simple shear flow is being reproduced. Further, we focus on investigating the effect of the confinement on the dynamics, a question that has received little attention so far. In particular, we study how the vesicle steady inclination angle in the tank-treading regime depends on the degree of confinement. The influence of the confinement on the effective viscosity of the composite fluid is also analyzed. At a given reduced volume (the swelling degree) of a vesicle we find that both the inclination angle, and the membrane tank-treading velocity decrease with increasing confinement. At sufficiently large degree of confinement the tank-treading velocity exhibits a non-monotonous dependence on the reduced volume and the effective viscosity shows a nonlinear behavior.