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law-of-the-wall analytical formulations for Type-A turbulent boundary layers

Journal of Hydrodynamics 2020年第2期32卷 296-313页

作者： Duo Wang Heng Li Bo-chao Cao Hongyi Xu Department of Aeronautics and Astronautics Fudan UniversityShanghai200433China

In-depth analyses of existing direct numerical simulations(DNS)data led to a logical and important classification of generic turbulent boundary layers(TBLs),namely Type-A,-B and-C TBL,based on the distribution patterns of the time-averaged wall-shear *** these types,Type-A TBL and its related law formulations were investigated in terms of the analytical velocity profiles independent on Reynolds number(Re).These formulations were benchmarked by the DNS data of turbulence on a zero-pressure-gradient flat-plate(ZPGFP).With reference to the analysis from von Karman in developing the traditional law-of-the-wall,the current study first physically distinguished the time-averaged local scale used by von Karman from the time-space-averaged scale defined in the current paper,and then derived the governing equations with the Re—independency under the time-space-averaged *** on the indicator function(IDF)and TBL thickness,the sublayer partitions were quantitatively *** analytical formulations for entire ZPGFP TBL were derived,including the formula in the inner,buffer,semi-logarithmic(semi-log)and wake *** research profoundly understood the damping phenomenon and its controlling mechanism in the TBL with its associated mathematical expressions,namely the damping function under both linear and logarithmic *** on these understandings and the quantified TBL partitions,the analytical formulations for the entire ZPGFP TBL were established and were further proved being uniform and consistent under both the time-averaged local and the time-space-averaged *** to the traditional law,these formulations were validated by the existing DNS data with more accuracy and wider *** findings advance the current understandings of the conventional TBL theory and its well-known foundation of law-of-the-wall.

关键词： Direct numerical simulation(DNS) wall-bounded turbulence turbulent boundary layer(TBL) law-of-the-wall

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