摘要
波数-频率谱是描述湍流边界层壁面脉动压力相关特性的重要统计学工具。为了进一步掌握湍流边界层壁面脉动压力共性特征,从而支撑预测模型构建,需开展湍流边界层壁面脉动压力波数-频率谱归一化研究。首先基于由Lighthill方程推导建立的可压缩基湍流边界层壁面脉动压力波数-频率谱预测模型,通过源项优化推导建立了波数-频率谱归一化方法。然后,在低速风洞中开展平板湍流边界层壁面脉动压力测量试验,通过运用热线风速仪获得了近壁面速度分布特征,支撑了归一化方法构建;利用表面阵列,获得了不同风速下湍流边界层壁面脉动压力自谱、波数-频率谱特征。最后,基于试验数据,验证了所构建的波数-频率谱归一化方法。研究表明:通过对预测模型中源项进行合理的优化,可形成波数-频率谱归一化方法构建;表面阵列可以实现对湍流边界层壁面脉动压力自谱以及波数-频率谱的测量,能够较为准确地反映湍流边界层壁面脉动压力的相关特性;通过对波数-频率谱的归一化,验证了归一化方法的适用性,可以认为归一化波数-频率谱与马赫数、雷诺数等无关。该研究可为航空、航海、高铁等工程领域的流致噪声问题研究提供理论支撑。
Wavenumber-frequency spectrum is an important statistical tool for describing characteristics of turbulent boundary layer(TBL)wall-pressure fluctuations.Here,to further understand common characteristics of TBL wall-pressure fluctuations and support constructing prediction model,it is necessary to perform study on normalization of wavenumber-frequency spectrum of TBL wall-pressure fluctuations.Firstly,based on Lighthill equation,the compressible TBL wall-pressure fluctuations wavenumber-frequency spectrum prediction model was established,and the wavenumber-frequency spectrum normalization method was derived using source term optimization.Then,experiments were conducted in a low-speed wind tunnel to measure fluctuating pressure on wall surface of a flat plate turbulent boundary layer.Near-wall velocity distribution characteristics were obtained by using a hot-wire anemometer(HWA)to support construction of normalization method.By using surface arrays,auto-spectrum and wavenumber-frequency spectrum characteristics of TBL wall-pressure fluctuations under different wind speeds were obtained.Finally,based on experimental data,the constructed wavenumber-frequency spectrum normalization method was verified.The study showed that by reasonably optimizing source term in the prediction model,the wavenumber-frequency spectrum normalization method can be constructed;surface arrays can realize measuring auto-spectrum and wavenumber-frequency spectrum of TBL wall-pressure fluctuations,and more correctly reflect relevant characteristics of TBL wall-pressure fluctuations;by normalizing wavenumber-frequency spectrum,the applicability of the normalization method is verified,and it can be considered that the normalized wavenumber-frequency spectrum is independent of Mach number,Reynolds number and so on.This study can provide theoretical support for studying flow-induced noise problems in engineering fields of aviation,navigation and high-speed train.
作者
冯奕腾
胡海豹
杜鹏
章荣平
赵鲲
FENG Yiteng;HU Haibao;DU Peng;ZHANG Rongping;ZHAO Kun(School of Marine Science and Technology,North Western Polytechnic University,Xi’an 710072,China;China Aerodynamic Research and Development Center,Mianyang 621000,China)
出处
《振动与冲击》
2025年第19期114-124,共11页
Journal of Vibration and Shock
基金
基础加强项目(2022-xxxxx-xxx)。
作者简介
第一作者:冯奕腾男,硕士,2000年生;通信作者:赵鲲男,博士,副研究员,1989年生,E-mail:zhaokun@cardc.cn。
