THE FLOW AND PRESSURE IN ELASTIC TUBE.
THE FLOW AND PRESSURE IN ELASTIC TUBE.
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弹性管中的流量和压力。
DOI：
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发表时间：
1963
影响因子：
3.5
通讯作者：
S. Miekisz
中科院分区：
文献类型：
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作者：
S. Miekisz
粘性液体通过弹性容器的流动由线性电报方程描述，该线性电报方程遵循假设ΔR<<R和v<<c，其中R表示容器的半径，v是流体的平均速度，c是脉冲速度。对于紊流，应再加一个关于单位时间内质量流量变化很小的假设。利用这种方法，通过拉普拉斯变换获得解。然后推导出内压与流量的关系式。与实验数据没有很好的一致性，作者认为，线性方程，特别是大动脉，是不够的。
The flow of a viscous liquid through elastic vessels is described by a linear telegraph equation following the assumptions ΔR<<R and v<<c, where R denotes the radius of the vessel, v the average velocity of the fluid, c the pulse velocity. For turbulent flow one should add one more assumption concerning the small changes in mass flowing per unit time. With this approach a solution was obtained by means of the Laplace Transform. Then a formula was derived for inner pressure as a function of flow. No good agreement with experimental data was obtained and the author suggests that a linearized equation, especially for large arteries, is insufficient.