Difference-differential equations for fluid flow in distensible tubes.
Difference-differential equations for fluid flow in distensible tubes.
复制标题
DOI：
10.1109/tbme.1967.4502495
复制
发表时间：
1967-07
期刊：
影响因子：
--
通讯作者：
Vincent C. Rideout;D. E. Dick
中科院分区：
文献类型：
--
作者：
Vincent C. Rideout;D. E. Dick
Womersley对可扩张管中流体流动的Navier-Stokes方程的解对血液动力学的学生是最有用的。然而，该解决方案需要线性化，并且由于结果是在变换到频域之后获得的，因此不容易添加非线性或时变效应。模拟、混合或数字计算机仿真要求获得差分-微分方程。这证明是很容易通过返回到Navier-Stokes方程和连续性方程，并使用普通的差分技术在空间维度。
The solution by Womersley of the Navier-Stokes equations for fluid flow in distensible tubes has been most useful to students of hemodynamics. However, this solution requires linearization, and, because results are obtained after transformation into the frequency domain, nonlinear or time-varying effects are not easily added. Analog, hybrid, or digital computer simulation require that difference-differential equations be obtained. This proves to be readily possible by returning to the Navier-Stokes and continuity equations, and using ordinary difference techniques in the space dimensions.