波纹管中定常流体流动的参量不稳定性
流体动力学
2021-02-09 v2
摘要
在本文中，我们表明波纹管中理想无粘流体的准一维流动在某些频带内是参量不稳定的。采用一阶微扰理论分析流动的稳定性，并表明即使基流速度为零也会发生参量不稳定性。利用并行数值计算，获得了系统作为波纹振幅和周期的函数、针对不同基流速度的稳定性图。分析表明，更高阶的不稳定带强烈依赖于基流速度。
引用
@article{arxiv.1910.10999,
title = {Parametric instability of steady fluid flow in a corrugated pipe},
author = {Nikita V. Bykov},
journal= {arXiv preprint arXiv:1910.10999},
year = {2021}
}
备注
The results do not seem new and may even be wrong. Reference [1] provides information on such studies. The effect of the presence of a steady flow is discussed in references [2] and [3]. [3] describes a model very similar to the proposed model. [1] L. Lundqvist and A. Bostr\"om, JSV, 112 (1987) 111-124 [2] F.J.P. Lau and L.M.B.C. Campos, JSV, 270 (2004) 361-378 [3] M.A. Hawwa, JSV 357 (2015) 245-252