The study deals with a possibility to formulate the complex fluid–structure interaction problem of noise generation due to the unsteady flow in corrugated pipes by phenomenological formulation. Although the details of fluid dynamics are not accessible this way, the computational framework is much less demanding and the key features are still present. The van der Pol-like equations serve as a model of self-sustained sources coupled to the acoustic resonances of the tube. The effects of the sound field convection are discussed. A closer case-study investigation using linear stability analysis and a semi-analytical solution is presented. Numerical analysis investigating the flow velocity sweeps and fitting the model to the experimental data follows. The proposed system exhibits the key features known from experiments such as mode-locking and hysteresis and is capable of capturing the experimental data correctly.

该研究解决了用现象学公式来表达由于波纹管中的不稳定流动而产生噪声的复杂的流固耦合问题的可能性。尽管无法通过这种方式获得流体动力学的详细信息，但计算框架的要求却低得多，并且关键特征仍然存在。类范德波尔方程式是与管的声共振耦合的自持源模型。讨论了声场对流的影响。提出了使用线性稳定性分析和半解析解决方案进行更仔细的案例研究。数值分析研究了流速扫描并将模型拟合到实验数据。