水、空气通用的湍流边界层壁面脉动压力波数−频率谱预测模型
Modeling of the turbulent boundary layer wall pressure fluctuation generalized for air and water
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摘要: 基于Lighthill方程的可压缩理论推导了一种湍流边界层壁面脉动压力(TBL脉压)波数−频率谱预测模型, 从而弥补当前TBL脉压模型在空气和水流介质中通用性不足的问题。为了获得空气、水两种流体介质中的TBL脉压自谱、波数−频率谱数据来验证模型, 开展了声学风洞、水洞实验, 并从文献中提取了结果。此外, 将预测结果与经典可压缩理论Chase II模型进行了对比, 评估了两种模型预测效果。研究结果表明, 本文模型可以有效预测空气、水中的TBL脉压波数−频率谱, 通过积分进一步实现了自谱预测, 因此具有流体介质通用性。预测效果总体优于经典Chase II模型, 因此也具备较好的准确性。Abstract: Based on Lighthill equation with compressible theory, a prediction model for the wavenumber-frequency spectrum of the turbulent boundary layer (TBL-WPF) was derived, which can remedy for the lack of generalization for air and water in the current models. In order to acquire the data of the TBL-WPF and the auto-spectrum from air and water to validate the model, tests in the aeroacoustic wind tunnel and the water tunnel were conducted, associated with test results from the literature. Moreover, the predicted results were also compared with those given by the classic Chase II model based on the compressible theory to evaluate the prediction capability of the two models. The results show that the proposed model in the paper can well predict the TBL-WPF wavenumber-frequency spectrum in the air and water, and achieves the prediction of the auto-spectrum through integration, as such it possesses generalization in different fluids. The overall prediction performance is superior to the Chase II model, indicating the proposed model can achieve good accuracy.