Abstract We study the behaviors of pressure fluctuations in high Reynolds number wall-bounded flows. Pressure fluctuations are small-scale quantities compared to velocity fluctuations in a wall-bounded flow (Tsuji, Marusic, & Johansson, Int. J. Heat Fluid Flow, vol. 61, 2016, pp. 2–11.): at a given wall-normal distance y, the premultiplied velocity spectrum peaks at a streamwise wavelength on the order of the boundary layer thickness ( λ x = O ( δ ) ), whereas the premultiplied pressure spectrum peaks at λx [ k x E p p ] ∼ λ x n − 1 y − ( 3 + n ) / 4 , for λx [ k x E p p ] ∼ λ x ( 3 n − 7 ) / 4 , for λx > y/tan (θ). Here, θ is the attached-eddy inclination angle, kx is the streamwise wavenumber, the velocity spectrum follows a k − 1 scaling for 1/kx > y/tan(θ) and a k − 5 / 3 scaling for 1/kx R e τ = 5200 .

中文翻译：

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高雷诺数壁面流动中的压力功率谱

摘要 我们研究了高雷诺数壁面流动中压力波动的行为。与壁面流动中的速度波动相比，压力波动是小尺度量（Tsuji, Marusic, & Johansson, Int. J. Heat Fluid Flow, vol. 61, 2016, pp. 2–11.）：在给定的壁法向距离 y，预乘速度谱在边界层厚度数量级 (λ x = O ( δ ) ) 的流向波长处达到峰值，而预乘压力谱在 λx [ kx E pp ] ∼ λ xn 处达到峰值1 y − ( 3 + n ) / 4 ，对于λx [ kx E pp ] ∼ λ x ( 3 n − 7 ) / 4 ，对于λx > y/tan (θ)。这里，θ 是附加涡倾角，kx 是流向波数，速度谱遵循 ak − 1 缩放比例为 1/kx > y/tan(θ) 和 ak − 5 / 3 比例缩放比例为 1/kx Re τ = 5200。