Flow Theory Analysis Of Red Blood Cell In Microvascular

In the recent years, the flow simulation problem of red blood cells in the tiny blood vessels has been given more and more attention. Microcirculation is human blood circulation system's most basic structure and functional unit, which plays an important role in the whole blood circulation. The tiny blood vessels as the main composition of the microcirculation contact with tissue cells directly, bearing the main material transportation, however, so far, the research about this topic is not much. Due to the feasibility and importance of this issue, the author conducts a preliminary comprehensive theoretical analysis.First of all, this paper summarizes the research and progress on microcirculation fluid dynamics, expounds the purpose and significance of the microscopic fluid mechanics, and reviews and introduces simply the micro-hemorheology numerical research situation and the development trend both at home and abroad.Secondly, introduces the concept of the Front-tracking method, explains its basic theory and theorem, summarizes and discusses the method, and then elaborates how to study blood cells research with this method by example.Then, introduces the lattice Boltzmann method briefly, recommends in detail the boundary conditions that the lattice Boltzmann method commonly used, and improves the method so that it is more suitable for model mentioned in this paper.Finally, the simulations are given in this paper with the simulation results. Lattice Boltzmann method combines with the front-tracking method to study the three dimensional deformation behavior of biconcave discoid capsule erythrocyte model. The RBC model chose as an elastic biconcave discoid thin membrane capsule containing Newton fluid, fluid which in and outside of the erythrocyte model can have different physical properties, multi-block strategy of Lattice Boltzmann Method is used to improve the grid around the erythrocyte model. In this method, thin grid covers only 40% of each calculation shaft, and a cell membrane model discreting 8192 triangle elements connecting 4098 points is chosen, which not only improves the grid resolution, but also saved calculation time; the inertia effect on red blood cells deformation in shear flow is theoretically proved to be small when Reynolds number was less than 0.25; and the 360°stable tank-treading motion of healthy red blood cells is simulated when non-dimensional parameter is 0.05, with the viscosity ratio between inside and outside the erythrocyte is 0.2. Not only successfully simulate typical three-dimensional erythrocyte tank-treading motion under inertial function, but also improve the calculation accuracy and efficiency by using fine meshes which accounted only 6.4% of the whole calculation area, and so provide a more feasible approach for simulating the three-dimensional erythrocyte deformation.