空气动力学学报2024,Vol.42Issue(12) :100-108.DOI:10.7638/kqdlxxb-2024.0048

基于波数-频率谱分析的线阵列后向台阶流速测量

Backward-facing step velocity measurement of line array based on wavenumber-frequency spectrum analysis

裴锐 贾丹平 赵鲲 刘博
空气动力学学报2024,Vol.42Issue(12) :100-108.DOI:10.7638/kqdlxxb-2024.0048

基于波数-频率谱分析的线阵列后向台阶流速测量

Backward-facing step velocity measurement of line array based on wavenumber-frequency spectrum analysis

裴锐 1贾丹平 2赵鲲 3刘博2
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作者信息

  • 1. 沈阳工业大学信息科学与工程学院,沈阳 110870;沈阳计量测试院,沈阳 110179
  • 2. 沈阳工业大学信息科学与工程学院,沈阳 110870
  • 3. 中国空气动力研究与发展中心,绵阳 621000
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摘要

后向台阶湍流介质流速测量存在重复性较低、鲁棒性较差的问题,为了解决这些问题,提出了一种基于波数-频率谱分析的线阵列传感器流速测量方法.首先,分析了后向台阶数据的湍流度和"泰勒冻结"信号特征;其次,使用频域波束形成算法和多信号分类算法将传感器数据从x-t域转换至k-ω域,呈现出与后向台阶流速相关的特征"脊线";然后,探究不同波束形成滤波算法和功率谱分块长度对流速"脊线"的影响;最后,应用波数-频率谱分析"脊线"斜率求解流速.结果表明波数-频率谱方法能够有效地实现后向台阶流速测量,与传统的互相关法比较,相对误差为 2.83%,重复性为 0.32%,具有较好的重复性和鲁棒性.

Abstract

At present,a variety of algorithms have been used to measure the flow velocity of backward-facing step turbulent media,but most of them have the problems of low repeatability and poor robustness.Therefore,a velocity measurement method of line array sensors based on wavenumber-frequency spectrum analysis is proposed.Firstly,the turbulence degree and Taylor freeze signal characteristics of the backward-facing step data are analyzed.Secondly,FDBM and MUSIC algorithms are used to convert sensors data from the x-t domain to the k-ω domain,showing the characteristic"ridge line"related to the backward-facing step velocity.Then,the influence of different beam forming filtering algorithms and power spectrum block length on velocity"ridge"is explored.Finally,wavenumber-frequency spectrum is used to analyze the slope of ridge line to solve the velocity.Compared with the traditional cross-correlation method,the relative error is 2.83%and the repeatability is 0.32%.The results show that the wave-frequency spectrum method can effectively measure the backward-facing step flow velocity,has good repeatability and robustness.

关键词

后向台阶/波数-频率谱/流速/互相关/频域波束形成/多重信号分类

Key words

backward-facing step/wavenumber-frequency spectrum/velocity/cross-correlation/FDBM/MUSIC

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出版年

2024
空气动力学学报
中国空气动力学会

空气动力学学报

CSTPCDCSCD北大核心
影响因子:0.532
ISSN:0258-1825
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