论文标题

与弹性壁的脉冲通道流共振

Resonances in pulsatile channel flow with an elastic wall

论文作者

Xu, Duo, Heil, Matthias, Seeböck, Thomas, Avila, Marc

论文摘要

液体与弹性固体之间的相互作用无处不在,从航空和土木工程到生理流动范围。在这里,我们研究了通过二维八度八度电阻的脉冲流,作为弹性血管中不稳定流动的简单模型。我们从数值上求解了控制流量和大置位弹性的方程,并表明该系统作为具有非惯性阻尼的强制谐波振荡器的响应。我们得出了振荡壁变形的幅度的分析预测,从而导致共振发生或消失的条件。

Interactions between fluids and elastic solids are ubiquitous in application ranging from aeronautical and civil engineering to physiological flows. Here we study the pulsatile flow through a two-dimensional Starling resistor as a simple model for unsteady flow in elastic vessels. We numerically solve the equations governing the flow and the large-displacement elasticity and show that the system responds as a forced harmonic oscillator with non-conventional damping. We derive an analytical prediction for the amplitude of the oscillatory wall deformation, and thus the conditions under which resonances occur or vanish.

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