We investigate flow through an elastic tube which is constrained to a prescribed external forcing consisting of a progressive travelling wave. Such a flow dynamics is closely related to that in the oesophageal tube. The mechanics of the tube is characterized by a relationship between transmural pressure difference and radial variation of the tube. Dimensionless radial variation, assumed to be small, is studied by perturbation techniques. Results demonstrate that the elasticity of the tube plays a significant role in the flow dynamics. An increment in the forcing amplitude of the inward radial force enhances pressure, time-averaged volume flow rate and hence axial and radial velocities. It is revealed that the elastic nature of the oesophageal tube favors swallowing.

中文翻译：

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扩张强迫幅值影响下弹性管中的蠕动传输

我们研究了通过弹性管的流动，该弹性管被限制为由行进波组成的规定外力。这种流动动力学与食管管中的流动动力学密切相关。管的力学特征在于跨壁压差和管的径向变化之间的关系。通过微扰技术研究假定很小的无量纲径向变化。结果表明，管的弹性在流动动力学中起着重要作用。向内径向力的强制幅值的增加提高了压力、时间平均体积流量，从而提高了轴向和径向速度。结果表明，食道管的弹性有利于吞咽。