B203 Behavior of a Red Blood Cell in a Simple Shear Flow Simulated by a Boundary Element Method

The transient deformation of liquid capsules enclosed by incompressible membranes whose mechanical properties are dominated by isotropic tension is studied as a model of red blood cell deformation in simple shear flow. The problem is formulated in terms of an integral equation for the distribution of the tension over the cell membrane which is solved using a point-wise collocation and a spectral-projection method. The computations illustrate the dependence of the deformed steady cell shape, membrane tank-treading frequency, membrane tension, and rheological properties of a dilute suspension, on the undeformed cell shape. The general features of the evolution of two-dimensional cells are found to be similar to those of three-dimensional cells, and the corresponding membrane tank-treading frequency and maximum tension are seen to attain comparable values. The numerical results are compared with previous asymptotic analyses for small deformations and available experimental observations, with satisfactory agreement. An estimate of the maximum shear stress for membrane breakup and red blood cell hemolysis is deduced on the basis of the computed maximum membrane tension at steady state.

Download Full-text

Dynamics of a single red blood cell in simple shear flow

Physical Review E ◽

10.1103/physreve.92.042710 ◽

2015 ◽

Vol 92 (4) ◽

Cited By ~ 30

Author(s):

Kushal Sinha ◽

Michael D. Graham

Keyword(s):

Shear Flow ◽

Blood Cell ◽

Simple Shear ◽

Red Blood Cell ◽

Simple Shear Flow

Download Full-text

APPLICATION OF DISSIPATIVE PARTICLE DYNAMICS TO THE STUDY OF A RED BLOOD CELL IN SIMPLE SHEAR FLOW

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194514603731 ◽

2014 ◽

Vol 34 ◽

pp. 1460373

Author(s):

TING YE ◽

NHAN PHAN-THIEN ◽

BOO CHEONG KHOO ◽

CHWEE TECK LIM

Keyword(s):

Shear Flow ◽

Blood Cell ◽

Simple Shear ◽

Red Blood Cell ◽

Dissipative Particle Dynamics ◽

Particle Dynamics ◽

Simple Shear Flow ◽

Past Study ◽

Computational Domain ◽

Membrane Particles

The present work reports an attempt to apply the dissipative particle dynamics (DPD) method to study the dynamic behaviors of a red blood cell (RBC) in simple shear flow. The simulation system is discretized into four types of particles, namely wall particles, fluid particles, membrane particles and internal particles. The particle interaction is modeled by the DPD method, and the membrane particles are connected into a viscoelastic triangular network to represent the RBC membrane. As benchmarking tests, we simulate the deformation of a spherical capsule in shear flow and compare it with the past study, and also examine the effect of computational domain size. After that, we investigate the dynamics of a RBC in shear flow at different membrane shear and bending moduli. Our simulations reproduce the tank-treading, trembling and tumbling motions of the RBC at the shear modulus Es = 6, 60 and 600 μN/m, respectively. Moreover, we find that the RBC undergoes a trembling motion when its bending modulus is large enough, where the obvious stretching and smoothing of the RBC occur alternately in shape.

Download Full-text

The analysis of self-diffusion and migration of rough spheres in nonlinear shear flow using a traction-corrected boundary element method

Journal of Fluid Mechanics ◽

10.1017/s0022112007000043 ◽

2008 ◽

Vol 598 ◽

pp. 267-292 ◽

Cited By ~ 14

Author(s):

MARC S. INGBER ◽

SHIHAI FENG ◽

ALAN L. GRAHAM ◽

HOWARD BRENNER

Keyword(s):

Boundary Element Method ◽

Shear Flow ◽

Boundary Element ◽

Particle Migration ◽

Self Diffusion ◽

Centre Of Gravity ◽

Particle Pairs ◽

And Migration ◽

Nonlinear Shear ◽

Element Method

The phenomena of self-diffusion and migration of rough spheres in nonlinear shear flows are investigated using a new traction-corrected boundary element method (TC-BEM) in which the near-field asymptotics for the traction solution in the interstitial region between two nearly touching spheres is seamlessly coupled with a traditional direct boundary element method. The TC-BEM is extremely accurate in predicting particle trajectories, and hence can be used to calculate both the particle self-diffusivity and a newly defined migration diffusivity for dilute suspensions. The migration diffusivity is a function of a nonlinearity parameter characterizing the shear flow and arises from the net displacement of the centre of gravity of particle pairs. This net displacement of the centre of gravity of particle pairs does not occur for smooth particles, nor for rough particles in a linear shear flow. An explanation is provided for why two-particle interactions of rough spheres in a nonlinear shear flow result in particle migration.

Download Full-text