考虑到渗透效应的一种血液流动的计算方法

得到了定常情况下,狗二分叉动脉横截面的三维Navier＿Stokes方程的有限元处理方法,并考虑到管壁的渗透影响,数值方法还包括直角坐标和曲线坐标的变换·　详细讨论了渗透性影响下的定常流、分叉流以及切应力情况·　以分支和主干血管的速度比为参量,计算雷诺数为1000情况下管壁切应力,数值结果和先前的实验结果符合得很好·　该文的工作是Sharma等(2001)工作的改进,使计算量更小,能够处理的雷诺数范围更大·

Computational Technique for Flow in Blood Vessels With Porous Effects

A finite element solution for the Navier-Stokes equations for steady flow under the porosity effects through a double branched two dimensional section of a three dimensional model of a canine aorta was obtained. The numerical solution involves transforming a physical coordinates to a curvilinear boundary fitted coordinate system.The steady flow,branch flow and shear stress under the porous effects were discussed in detail. The shear stress at the wall was calculated for Reynold's number of 1 000 with branch to main aortic flow rate ratio as a parameter. The results are compared with earlier works involving experimental data and it has observed that our results are very close to the exact solutions.This work in fact is an improvement of the work of Sharma et al. (2001) in the sense that computations technique is economic and Reynolds number is large.