Abstract
The relationship between wall shear stresses and near-wall streamwise vortices is investigated via a direct numerical simulation (DNS) of turbulent flows over a wavy boundary with traveling-wave motion. The results indicate that the wall shear stresses are still closely related to the near-wall streamwise vortices in the presence of a wave. The wave age and wave phase significantly affect the distribution of a two-point correlation coefficient between the wall shear stresses and streamwise vorticity. For the slow wave case of c/Um = 0.14, the correlation is attenuated above the leeward side while the distribution of correlation function is more elongated and also exhibits a larger vertical extent above the crest. With respect to the fast wave case of c/Um = 1.4, the distribution of the correlation function is recovered in a manner similar to that in the flat-wall case. In this case, the maximum correlation coefficient exhibits only slight differences at different wave phases while the vertical distribution of the correlation function depends on the wave phase.
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The authors would like to thank Tsinghua National Laboratory for Information Science and Technology for support in parallel computation.
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Project supported by the the National Natural Science Foundation of China (Nos. 91752205 and 11772172) and the “13th Five-Year Plan” Equipment Development Common Technology Pre-research (No. 41407020501)
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Wang, L., Huang, W., Xu, C. et al. Relationship between wall shear stresses and streamwise vortices. Appl. Math. Mech.-Engl. Ed. 40, 381–396 (2019). https://doi.org/10.1007/s10483-019-2448-8
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DOI: https://doi.org/10.1007/s10483-019-2448-8