Lou Z, Yang W J
Transportation Research Institute, University of Michigan, Ann Arbor 48109.
J Biomech. 1993 Jan;26(1):37-49. doi: 10.1016/0021-9290(93)90611-h.
A two-dimensional numerical model was developed to determine the effect of the non-Newtonian behavior of blood on a pulsatile flow at the aortic bifurcation. The blood rheology was described by a weak-form Casson equation. The successive-over-relaxation (SOR) method was used to solve both the vorticity and Poisson equations numerically. It was disclosed that the non-Newtonian property of blood did not drastically change the flow patterns, but caused an appreciable increase in the shear stresses and a slightly higher resistance to both flow separations and the phase shifts between flow layers.
开发了一个二维数值模型，以确定血液的非牛顿行为对主动脉分叉处脉动血流的影响。血液流变学由弱形式的卡森方程描述。采用逐次超松弛（SOR）方法对涡度方程和泊松方程进行数值求解。结果表明，血液的非牛顿特性并没有显著改变血流模式，但导致剪切应力明显增加，并且对流动分离和流动层之间的相移产生略高的阻力。
