Computer Simulation Study of Collective Phenomena in Dense Suspensions of Red Blood Cells under Shear

  • Timm Krüger

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Introduction

  3. Numerical model for simulations of red blood cell suspensions

    1. Front Matter
      Pages 15-15
    2. Timm Krüger
      Pages 43-48
    3. Timm Krüger
      Pages 49-69
  4. Simulation results and interpretation

  5. Back Matter
    Pages 127-165

About this book


The rheology of dense red blood cell suspensions is investigated via computer simulations based on the lattice Boltzmann, the immersed boundary, and the finite element methods. The red blood cells are treated as extended and deformable particles immersed in the ambient fluid. In the first part of the work, the numerical model and strategies for stress evaluation are discussed. In the second part, the behavior of the suspensions in simple shear flow is studied for different volume fractions, particle deformabilities, and shear rates. Shear thinning behavior is recovered. The existence of a shear-induced transition from a tumbling to a tank-treading motion is demonstrated. The transition can be parameterized by a single quantity, namely the effective capillary number. It is the ratio of the suspension stress and the characteristic particle membrane stress. At the transition point, a strong increase in the orientational order of the red blood cells and a significant decrease of the particle diffusivity are observed. However, the average cell deformation shows no signature of the transition.


Blood Rheology Direct Numerical Simulation Immersed Boundary Method Lattice Boltzmann Method Red Blood Cell Suspensions

Authors and affiliations

  • Timm Krüger
    • 1
  1. 1.DüsseldorfGermany

Bibliographic information