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/U m = 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/U m = 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 381-396 |
| Number of pages | 16 |
| Journal | Applied Mathematics and Mechanics (English Edition) |
| Volume | 40 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 1 2019 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019, Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- O357.5
- direct numerical simulation (DNS)
- near-wall streamwise vortex
- two-point correlation
- wall shear stress
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