求解粘弹性圆管内流体波动的杂交有限元方法
A Hybrid FEM Algorithm for Fluid Flow in a Visco-Elastic Pipe
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摘要: 本文提出了一个求解粘弹性管内流体流动的变分原理.采用特征函数展开式与有限单元法相结合的杂交方法,求解内区的速度场及外区波的反射、透射系数.作为一个算例,计算了轴对称血栓对简谐振荡流动的影响.Abstract: A variational principle of hybrid FEM is proposed to solve the flow in a visco-elaslic pipe. As an example, the influence of an axisymmetrical stenosis on an artery vibrating flow with a single frequency is calculated.
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[1] Womersley,J.R.,An elastic tube theory of pulse transmission and osillatory flow in mammalian arteries,WADC Technical Report TR 56-6114,Wright-Patterson AFB,Ohio(1957). [2] Mirsky,I.,Wave propagation in a viscous fluid contained in an orthotropic elastic tube,Biophys.J.,7(1967),165-186. [3] Atabek,H.B.,Wave propagation through a viscous fluid contained in a tethered,initially stressed,orthotropic elastic tube,Biophys.J.,8(1968),629-649. [4] Misra,J.C.and S.Chakravarty,Flow in arteries in the presence of stenosis,J.Biomechanics,19(1986),907-918. [5] 冯元祯,《生物力学》,科学出版社(1983).
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