1D35 Rheology of a red blood cell suspension in a simple shear flow

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.

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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

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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.

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Shear-induced diffusivity of a red blood cell suspension: effects of cell dynamics from tumbling to tank-treading

Soft Matter ◽

10.1039/d1sm00938a ◽

2021 ◽

Author(s):

Abhilash Reddy Malipeddi ◽

Kausik Sarkar

Keyword(s):

Shear Flow ◽

Blood Cell ◽

Cell Suspension ◽

Red Blood Cell ◽

Hydrodynamic Interactions ◽

Cell Dynamics ◽

Diffusive Motion

Hydrodynamic interactions generate a diffusive motion in particulates in a shear flow, which plays seminal roles in overall particulate rheology and its microstructure. Here we investigate the shear induced diffusion...

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A LATTICE BOLTZMANN STUDY ON THE LARGE DEFORMATION OF RED BLOOD CELLS IN SHEAR FLOW

International Journal of Modern Physics C ◽

10.1142/s012918310701108x ◽

2007 ◽

Vol 18 (06) ◽

pp. 993-1011 ◽

Cited By ~ 23

Author(s):

Y. SUI ◽

Y. T. CHEW ◽

H. T. LOW

Keyword(s):

Shear Flow ◽

Blood Cell ◽

Red Blood Cell ◽

Lattice Boltzmann ◽

Vortex Pair ◽

Lattice Boltzmann Model ◽

Immersed Boundary ◽

Simple Shear Flow ◽

Single Vortex ◽

Boltzmann Model

The transient deformation of a liquid-filled elastic capsule, simulating a red blood cell, was studied in simple shear flow. The simulation is based on a hybrid method which introduces the immersed boundary concept in the framework of the multi-block lattice Boltzmann model. The method was validated by the study on deformation of an initially circular capsule with Hooke's membrane. Also studied were capsules with Skalak membrane of initially elliptical and biconcave shapes, which are more representative of a red blood cell. Membrane tank treading motion is observed. As the ratio between membrane dilation modulus and shear modulus increases, the capsule shows asymptotic behavior. For an initially elliptical capsule, it is found that the steady shape is independent of initial inclination angle. For an initially biconcave capsule, the tank treading frequency from two-dimensional modeling is comparable to that of real cells. Another interesting finding is that the tank treading velocity has not attained steady state when the capsule shape becomes steady; and at this state there is the internal vortex pair. The treading velocity continues to decrease and reaches a steady value when the internal vortex pair has developed into a single vortex.

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