An immersed boundary method for computational simulation of red blood cell in poiseuille flow



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.


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