Two-dimensional vesicle dynamics under shear flow: Effect of confinement

Badr Kaoui, Jens Harting, and Chaouqi Misbah
Phys. Rev. E 83, 066319 – Published 27 June 2011

Abstract

Dynamics of a single vesicle under shear flow between two parallel plates is studied in two-dimensions using 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 nonmonotonous dependence on the reduced volume and the effective viscosity shows a nonlinear behavior.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
1 More
  • Received 28 November 2010

DOI:https://doi.org/10.1103/PhysRevE.83.066319

©2011 American Physical Society

Authors & Affiliations

Badr Kaoui1,2,*, Jens Harting1,3,†, and Chaouqi Misbah2,‡

  • 1Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, The Netherlands
  • 2CNRS, Université Joseph Fourier, UMR 5588, Laboratoire Interdisciplinaire de Physique, B.P. 87, F-38402 Saint Martin d’Hères Cedex, France
  • 3Institut für Computerphysik, Universität Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany

  • *b.kaoui@tue.nl
  • j.harting@tue.nl
  • chaouqi.misbah@ujf-grenoble.fr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 83, Iss. 6 — June 2011

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×