基于波数－频率谱的腔体流动自持续振荡频率研究
倪小松，肖新标*，刘浩楠
（西南交通大学 牵引动力国家重点试验室，四川 成都 610031）
摘要：在目前普遍认可及广泛应用的腔体流动自持续振荡噪声频率预测方法Rossiter半经验公式中，只给出了经验常数k的推荐值，并没有给出具体的计算方法。为此，本文采用数值模拟的方法确定k值。首先，采用LES湍流模型建立腔体自持续振荡噪声预测模型。进而，分析腔体内部监测点，得到前三阶噪声峰值频率，并与k取推荐值（0.57）的Rossiter公式预测频率进行对比，预测结果存在一定的误差。然后，通过分析腔体后缘湍流脉动压力的波数－频率谱，得到k值为0.63并代入Rossiter公式，得到前三阶噪声峰值频率并与数值模拟结果吻合较好。结果表明，利用分析湍流脉动压力的波数－频率谱确定经验常数k的方法是可行的，并且能够提高Rossiter公式预测频率的准确性。
关键词：腔体流致噪声；峰值频率；Rossiter公式；波数－频率谱
中图分类号：TB123 文献标志码：A doi：10.3969/j.issn.1006-0316.2021.09.001
文章编号：1006-0316 (2021) 09-0001-07
The Frequency of Self-Sustained Oscillation of Cavity Flow Based on Wavenumber-Frequency Spectrum
NI Xiaosong，XIAO Xinbiao，LIU Haonan
( State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China )
Abstract：In the semi-empirical Rossiter formula, which is currently generally recognized and widely used in self-sustained oscillation of cavity flow noise frequency prediction, only the recommended value of the empirical constant k is given, and no specific calculation method is given. Therefore, this paper uses numerical simulation to determine the value of k. First, the LES turbulence model is used to establish the cavity self-sustained oscillation noise prediction model. Furthermore, the first three-order noise peak frequency is obtained by analyzing the monitoring points inside the cavity and compared with the predicted frequency of Rossiter formula with the recommended value of k (0.57). The predicted results have certain deviation. Then, by analyzing the wavenumber-frequency spectrum of the turbulent pulsating pressure at the trailing edge of the cavity, the k value of 0.63 is obtained and substituted into the Rossiter formula. The first three-order noise peak frequency is obtained, which is in good agreement with the numerical simulation results. The results show that it is feasible to determine the empirical constant k by analyzing the wavenumber-frequency spectrum of the turbulent pulsating pressure, and it can improve the accuracy of the Rossiter formula to predict the frequency.
Key words：cavity flow induced noise；peak frequency；Rossiter formula；wavenumber-frequency spectrum
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收稿日期：2021-01-21
基金项目：国家自然科学基金（U1934203）
作者简介：倪小松（1996－），男，湖南衡阳人，硕士研究生，主要研究方向为轨道交通减振降噪，E-mail：1512015956@qq.com。*通讯作者：肖新标（1978－），男，广东阳春人，博士，副研究员，主要研究方向为轨道交通减振降噪，E-mail：xinbiaoxiao@163.com。
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