Flow in collapsible tubes: Computations, experiments and (at last!) a rational mathematical model for the onset of self-excited oscillations

许多生理性流动(如静脉和动脉中的血液流动或肺呼吸道中的空气流动)受到流体流动和管壁弹性之间的相互作用的强烈影响。因此，可折叠管道中的流动问题在生物流体研究界引起了极大的兴趣。在实验上，这个问题通常是用“启动电阻”来研究的，这是一种装置，在这种装置中，流体被驱动通过一个有限长的薄壁弹性管，它安装在两个刚性管上，并封闭在一个压力室中。这个系统最显著的特点之一是它容易产生大幅度的自激振荡。我们对启动和维持这些振荡的机制(S)的了解仍然非常有限。本研究方案的目的是首次采用理论(渐近)、数值和实验相结合的方法，对三维可折叠管内的流动进行真正全面的研究。

Many physiological flows (e.g. blood flow in the veins and arteriesor the flow of air in the pulmonary airways)are strongly affected by the interaction between the fluid flowand the vessel wall elasticity. The problem of flow in collapsible tubes has therefore received much interest in the biofluids researchcommunity. Experimentally, the problem is typically studied with a `Starling resistor', a device in which fluid isdriven through a finite-length, thin-walled, elastic tube whichis mounted on two rigid tubes and enclosed in a pressure chamber.One of the most striking features of this system is its propensity to develop large-amplitude self-excited oscillations. Our understanding of the mechanism(s) that initiate and maintain these oscillations is still very limited. It is the aim of this research proposal to undertake the firsttruly comprehensive study of flow in 3D collapsible tubes, employinga combination of theoretical (asymptotic), numerical and experimental methods.