Ma X, Lee G C, Wu S G
State University of New York, Buffalo 14260.
J Biomech Eng. 1992 Nov;114(4):490-6. doi: 10.1115/1.2894099.
The behavior of nonlinear pulsatile flow of incompressible blood contained in an elastic tube is examined. The theory takes into account the nonlinear convective terms of the Navier-Stokes equations. The motion of the arterial wall is characterized by a set of linearized differential equations. The region bounded by the flexible arterial wall is mapped into a fixed area in which numerical discretization takes place. The finite element method (Galerkin weighted residual approach) is used for the solution of this nonlinear system. The results obtained are pressure distribution, velocity profile, flow rate and wall displacements along the elastic tube (20 cm long).
研究了弹性管中不可压缩血液的非线性脉动流行为。该理论考虑了纳维-斯托克斯方程的非线性对流项。动脉壁的运动由一组线性化微分方程表征。由柔性动脉壁界定的区域被映射到一个进行数值离散化的固定区域。采用有限元法（伽辽金加权残值法）求解该非线性系统。得到的结果是沿弹性管（20厘米长）的压力分布、速度剖面、流量和壁位移。
