Numerical Simulation Of Particles In Poiseuille Flow And RBC Rheology In Microvessels

In recent years, RBC’s dynamics simulation has received widespread attention in human body’smicrocirculation system. Research on microcirculation has also become a hot topic in biomedicalmathematical and biomedical engineering at home and abroad. Firstly, the numerical method is usedto simulate the rigid ball’s movement in incompressible viscous fluid.We aim to investigate theinfluence of various parameters on the ball’s movement by changing the parameters of the ball(radius,initial position, density, pressure difference and the number of balls).Then we simulate differentshapes of RBC through the stenotic micro-vessels to observe the changes of its shape. In this paper,we use Navier-Stokes equations to describe the motion of incompressible viscous Newtonian liquid,using Fictitious Domain method to convert irregular area into regular one and use Fictitious Domain-Immersed Boundary method to deal with the flow pattern of deformable particle(RBC) in irregulararea(narrow capillaries).To solve Navier-Stokes equations, we use first order accurate operatorsplitting scheme(scheme) to simplify equation, using spring model to simulate the deformationof red cell membrane, and by changing the elastic coefficient of red cell membrane to simulate normaland abnormal cell. Numerical experiment results show that the ball’s equilibrium position is awayfrom the area boundary, eventually gathers near the center line of orbit, which is relevant with theradius of the ball, the initial position, density, pressure difference and the interaction between balls. Atthe same time,we can obtain that RBC can be restored to its original shape, due to the liquidity. In thispaper, numerical simulation results accord with previous research results, which shows theeffectiveness of methods.