Abstract

The frictional resistance of randomly oscillating surfaces is studied by assuming that the oscillatory motion is a stationary Gaussian narrow-band random process. The approach is also based on simple explicit frictional resistance formulas for harmonic oscillations. The probability distribution functions of the maximum surface shear stress for laminar flow as well as smooth turbulent and rough turbulent flow are presented. The maximum surface shear stress follows the Rayleigh distribution for laminar flow and the Weibull distribution for smooth turbulent and rough turbulent flow. Examples of the friction coefficients based on the mean values of the maximum surface shear stress for the three flow regimes are also given.

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