Abstract
In this paper, the effects of Red Blood Cell hardness in a viscous incompressible flow is investigated. The effects of hardness changes on the membrane behavior and its around flow is studied. The Lattice Boltzman method is used for solving the flow field and the Immersed Boundary method is used for membrane motion simulation. The relation between them is done using Dirac Delta function. In the Immersed Boundary method the elastic membrane is modeled in Lagrangian coordinate but the flow field is discretized using a uniform and fixed Eulerian grid. When RBCs have less elastic properties; they pass the obstacle hardly and increase the pressure of around flow.Velocity decrease due to existance of RBC with low flexibility results in increase of pressure around the RBC. This pressure increase due to stiffness of RBC membrane can be seen in anemia and heart diseases. The translational speed of a RBC decreases as its elasticity modulus increases The comparison between the present results and other available results show that the Lattice Boltzmann and Immersed Boundary methods have good capability for modeling of immersed objects motions.DOI: http://dx.doi.org/10.5755/j01.mech.24.3.18063
Highlights
Blood is a multiphase fluid that is primarily made of red blood cells (RBCs), white blood cells, and platelets suspended in plasma
The lattice Boltzmann method (LBM) in combination with immersed boundary method (IBM) has been used for simulating the motion and deformation of elastic bodies immersed in fluid flow including red blood cells (RBCs)
The purpose of this study is to investigate the ability of the LatticeBoltzmann and the immersed boundary method to model the deformation of flexible membranes, red blood cells, and etc, inside the flow
Summary
Blood is a multiphase fluid that is primarily made of red blood cells (RBCs), white blood cells, and platelets suspended in plasma. The lattice Boltzmann method (LBM) in combination with IBM has been used for simulating the motion and deformation of elastic bodies immersed in fluid flow including red blood cells (RBCs). Zhao et al [18] have studied the time variations of RBCs deformation and flow resistance in the stenosed microvessels having a diameter less than 10μm, using boundary integral method. IBM is one of the methods that have been used successfully in recent decades to simulate the dynamics of flexible bodies in the fluid flow This method was introduced for the first time in 1972 by Peskin [23] to study the flow around heart valves and developed as an efficient method to solve problems involving fluid-solid interactions. The results of this paper were compared to the available results and good agreements were observed
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