摘要
The research of the motion and deformation of the RBCs is important to reveal the mechanism of blood diseases. A numerical method has been developed with level set formulation for elastic membrane immersed in incompressible fluid. The numerical model satisfies mass and energy conservation without the leaking problems in classical Immersed Boundary Method(IBM), at the same time, computing grid we used can be much smaller than the general literatures. The motion and deformation of a red blood cell(including pathological & normal status) in microvascular flow are simulated. It is found that the Reynolds number and membrane's stiffness play an important role in the transmutation and oscillation of the elastic membrane. The normal biconcave shape of the RBC is propitious to create high deformation than other pathological shapes. With reduced viscosity of the interior fluid both the velocity of the blood and the deformability of the cell reduced. With increased viscosity of the plasma both the velocity of the blood and the deformability of the cell reduced. The tank treading of the RBC membrane is observed at low enough viscosity contrast in shear flow. The tank tread fixed inclination angle of the cell depends on the shear ratio and viscosity contrast, which can be compared with the experimental observation well.
The research of the motion and deformation of the RBCs is important to reveal the mechanism of blood diseases. A numerical method has been developed with level set formulation for elastic membrane immersed in incompressible fluid. The numerical model satisfies mass and energy conservation without the leaking problems in classical Immersed Boundary Method （IBM）, at the same time, computing grid we used can be much smaller than the general literatures. The motion and deformation of a red blood cell （including pathological ＆ normal status） in microvascular flow are simulated. It is found that the Reynolds number and membrane＇s stiffness play an important role in the transmutation and oscillation of the elastic membrane. The normal bi- concave shape of the RBC is propitious to create high deformation than other pathological shapes, With reduced viscosity of the interior fluid both the velocity of the blood and the deformability of the cell reduced. With increased viscosity of the plas- ma both the velocity of the blood and the deformability of the cell reduced. The tank treading of the RBC membrane is ob- served at low enough viscosity contrast in shear flow. The tank tread fixed inclination angle of the cell depends on the shear ratio and viscosity contrast, which can be compared with the experimental observation well.
基金
supported by the National Key Project of Scientific and Technical Supporting Programs of China(Grant No.2014BAI11B06)
the National Natural Science Foundation of China(Grant No.11172156)
