Title: Scaling of wall pressure and the peak of streamwise turbulence intensity in compressible wall flows Show Chinese title

Title: 可压缩壁面流动中壁面压力的缩放和流向湍流强度的峰值

Abstract: This paper develops scaling laws for wall-pressure root-mean-square (r.m.s.) and the peak of streamwise turbulence intensity, accounting for both variable-property and intrinsic compressibility effects -- those associated with changes in fluid volume due to pressure variations. To develop such scaling laws, we express the target quantities as an expansion series in powers of an appropriately defined Mach number. The leading-order term is represented using the scaling relations developed for incompressible flows, but with an effective Reynolds number. Higher-order terms capture intrinsic compressibility effects and are modeled as constant coefficients, calibrated using flow cases specifically designed to isolate these effects. The resulting scaling relations are shown to be accurate for a wide range of channel flows and boundary layers. Show Chinese abstract

Abstract: 本文推导了壁压均方根（r.m.s.）和流向湍流强度的峰值的尺度定律，考虑了变物性和固有可压缩性效应——与压力变化引起的流体体积变化相关的效应。 为了推导这样的尺度定律，我们将目标量表示为一个适当定义的马赫数的幂级数展开式。 主导项使用为不可压缩流动开发的尺度关系表示，但采用了一个有效雷诺数。 高阶项捕捉固有可压缩性效应，并被建模为常数系数，这些系数通过专门设计以隔离这些效应的流动案例进行校准。 所得的尺度关系被证明适用于广泛的通道流动和边界层流动。