水/气介质中圆柱表面脉动压力相似性
The similarity of fluctuating pressure on the surface of cylinder in water/air
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摘要: 为实现风洞实验与水洞实验数据相互转换, 通过基于大涡模拟的数值方法研究了水和空气中圆柱表面脉动压力的相似性。首先, 通过将空气和水中圆柱远场噪声声压级的数值结果与实验结果对比, 验证本文所使用的数值方法的正确性。其次, 针对马赫数为0.2的来流, 研究了空气可压缩性的影响, 发现在当前马赫数下, 空气可压缩性对圆柱绕流远场噪声影响较小。然后, 从能量的角度将圆柱表面脉动压力功率谱密度无量纲化, 分析其脉动压力相似性。分别对雷诺数处于2.0 × 104~1.0 × 105区间内的水/气两种介质中圆柱不同壁面位置表面脉动压力进行频谱分析。结果表明, 当雷诺数大于6.0 × 104时, 在水和空气两种介质中圆柱表面脉动压力展现出了良好的相似性。Abstract: To achieve the conversion of data between wind tunnel and water tunnel experiments, this paper conducts a study on the similarity of fluctuating pressure on the surface of a cylinder in water and air based on a numerical method by using large eddy simulation. Firstly, the accuracy of the numerical simulation method used in this paper is verified by comparing the spectra of far-field sound pressure levels in air and water around a cylinder. Secondly, for the inflow at a Mach number of 0.2, the effect of air compressibility is investigated. It is found that at the current Mach number, the compressibility of air has a minor effect on the radiated sound. Then, from the perspective of energy, the power spectral density of the fluctuating pressure on the cylinder surface is nondimensionalized, and the similarity is analyzed. Spectrum analysis of the surface fluctuating pressure at different wall positions of the cylinder in both water and air media is conducted for Reynolds numbers ranging from 2.0 × 104 to 1.0 × 105. The results show that when the Reynolds number is greater than 6.0 × 104, the surface fluctuating pressure on the cylinder in both water and air media exhibits good similarity.