Pressure Fluctuations in Turbulent Flow over a Flat Plate
Pressure Fluctuations in Turbulent Flow over a Flat Plate
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DOI：
10.1121/1.1908336
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发表时间：
1956-05
影响因子：
2.4
通讯作者：
R. Kraichnan
中科院分区：
文献类型：
--
作者：
R. Kraichnan
本文研究了湍流边界层作用于平板上的压力脉动。通过使用相似性参数估计了均方强度、空间尺度和频率尺度对马赫数和转捩点距离的近似依赖性。用两点速度相关变换表示平板表面压力脉动分布的波数谱，并推导出平板表面矩形活塞驱动力的表达式。发现压力波动的两点二次相关函数在边界表面上的积分应该为零，结果是当面积无限增加时，施加在大面积表面上的每单位面积的均方力应该趋于零。本文建立了一个理想化的湍流边界层模型，并将该模型用于关联表面谱和相关函数。
The pressure fluctuations exerted on a flat plate by a turbulent boundary layer flow are investigated. The approximate dependence of the mean‐square intensity, spatial scale, and frequency scale on Mach number and distance from transition point are estimated through the use of similarity arguments. The wave number spectrum of the pressure fluctuation distribution over the surface of the plate is expressed in terms of transforms of two‐point velocity correlations and expressions are derived for the driving force exerted on a rectangular piston set in the surface of the plate. It is found that the integral over the boundary surface of the two‐point quadratic correlation function of the pressure fluctuation should vanish, with the result that the mean‐square force per unit area exerted on a large area of the surface should tend to zero as the area increases indefinitely. An idealized model of turbulent boundary layer flow is constructed and used to relate the spectrum and correlation function of the surface ...