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

Title: 壁压和压缩壁流中沿流向湍流强度峰值的缩放规律

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 turbulent channel flows and boundary layers. Show Chinese abstract

Abstract: 本文发展了壁压均方根（r.m.s.）和主流向湍流强度峰值的尺度律，考虑了变物性和固有可压缩性的影响——这些影响与由于压力变化导致的流体体积变化有关。为了发展这些尺度律，我们将目标量表示为适当定义的马赫数幂次的展开级数。零阶项采用无压缩流动发展的尺度关系表示，但使用有效雷诺数。高阶项捕捉固有可压缩性的影响，并被建模为常数系数，通过专门设计的流动案例进行校准以隔离这些影响。结果表明，所得的尺度关系对于广泛的湍流通道流和边界层都是准确的。