Numerical study of nonlinear sustained oscillations in a cylindrical open-ended tube

P. Rendón, R. Velasco-Segura
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Abstract

The study of nonlinear sustained oscillations in ducts requires taking into account a variety of relevant physical phenomena, which may occur at different scales, and which therefore are described by different fluid dynamics regimes. In the present work the joint effect of these phenomena is investigated by means of numerical simulation, using a full-wave finite volume method (FiVoNAGI) over a 2D spatial domain assuming axial symmetry, which includes nonlinear propagation and thermoviscous attenuation over a wide range of scales. Excitation at one end of a straight cylindrical tube, open at the other end, is provided by a nonlinear feedback mechanism. First, a transitory state is observed, which is finally followed by a sustained-oscillation state with a self-regulated resonance frequency. For sufficiently large values of the excitation amplitude, shock waves are formed, and their development can be analyzed in terms of progressive waves. The results obtained reproduce qualitatively some well-known featur...
圆柱开口管内非线性持续振荡的数值研究
研究管道中的非线性持续振荡需要考虑各种相关的物理现象,这些现象可能发生在不同的尺度上,因此可以用不同的流体动力学体系来描述。在本工作中,通过数值模拟的方法研究了这些现象的联合效应,使用全波有限体积法(FiVoNAGI)在二维空间域假设轴对称,其中包括非线性传播和热粘性衰减在大范围内的尺度。在直圆柱管的一端激发,另一端打开,由非线性反馈机构提供。首先,观察到一个短暂的状态,最后是一个具有自调节谐振频率的持续振荡状态。当激发幅值足够大时,就会形成激波,其发展可以用递进波来分析。所得结果定性再现了一些众所周知的特征。
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