存在周围粘弹组织约束时动脉管内的脉动流

Pulsatile Flow in Arteries with External Restraint of Visco-Elastic Tissue

摘要: 由于在动脉管外侧牢牢地粘附着结缔组织,而且这些结缔组织是一种粘弹体。为了分析周围粘弹组织对动脉中脉动流的影响,本文将周围结缔组织考虑为Voigt粘弹体,由动脉管内血液流动方程(Navier-Stokes方程)与管壁运动方程(Lamb方程)导出动脉管中脉搏波波速的一般表达式与管内脉动流的速度表达式。Womersley关于不存在周围组织约束的结果^[4]与仅考虑周围组织是纯弹性体的结果^[6]都做为本文结果的特例而包含在本文的结果之中。

Abstract: The presence of a longitudinal constraint must be conceived physiologically as due largely to the connective tissue attachments on the outside of the artery. Living tissues are yisco-elastic bodies. In order to analyse the effect of external visco-elastic tissue to pulsatile flow in arteries, in this paper the external connective tissue of artery will be considered as a Voigt visco-elastic body, and the expressions of pulse wave velocity and the velocity of pulsatile flow will be found by the velocity of pulsatile flow will be found by the blood motion equations (Navier-Stokes equation) as well as wall motion equations (Lamb equation). The results of free elastic tube^[4] and those of external elastic restraint^[6] by Womersley can be considered as a particular case and can be covered in this paper.

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[4]	Womersley, J. R., Method for the calculation of velocity: rate off low and viscous drag inarteries.when thepressure gradient is known, J. Physiol., 127,(1955), 553-563.
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