论文标题

螺旋管中稳定流动的不稳定性

Instability of steady flows in helical pipes

论文作者

Gelfgat, Alexander

论文摘要

在任意曲率和扭转的螺旋管中稳定流动的三维不稳定性的参数数值研究。计算是通过在先前研究中针对独立的实验和数值结果验证的数值方法进行的。结果报告是临界雷诺数,临界波数以及无量纲管道曲率和扭转的临界频率的依赖性。观察到,在管理参数的不同值下,多种不同的干扰模式被观察到最不稳定。报告和分类最不稳定模式的模式。描述了不同不稳定性的途径,包括粘性和无关机制,局部发展边界和混合层,迪恩涡流之间的相互作用和通过流动。

A parametric numerical study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out. The computations are performed by a numerical approach verified against independent experimental and numerical results in a previous study. The results are reported as dependences of the critical Reynolds number, critical wavenumber and the critical frequency on the dimensionless pipe curvature and torsion. A multiplicity of different disturbance modes becoming most unstable at different values of the governing parameters, is observed. Patterns of the most unstable modes are reported and classified. Different routes to instability including viscous and inviscid mechanisms, locally developing boundary and mixing layers, interaction between the Dean vortices and the through flow are described.

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