| Autor: |
Srinath, Sricharan, Vassilicos, J. C, Cuvier, Christophe, Laval, Jean-Philippe, Stanislas, Michel, Foucaut, Jean-Marc |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Phys. Rev. E 97, 053103 (2018) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevE.97.053103 |
| Popis: |
On the basis of (i) Particle Image Velocimetry data of a Turbulent Boundary Layer with large field of view and good spatial resolution and (ii) a mathematical relation between the energy spectrum and specifically modeled flow structures, we show that the scalings of the streamwise energy spectrum $E_{11}(k_{x})$ in a wavenumber range directly affected by the wall are determined by wall-attached eddies but are not given by the Townsend-Perry attached eddy model's prediction of these spectra, at least at the Reynolds numbers $Re_{\tau}$ considered here which are between $10^{3}$ and $10^{4}$. Instead, we find $E_{11}(k_{x}) \sim k_{x}^{-1-p}$ where $p$ varies smoothly with distance to the wall from negative values in the buffer layer to positive values in the inertial layer. The exponent $p$ characterises the turbulence levels inside wall-attached streaky structures conditional on the length of these structures. |
| Databáze: |
arXiv |
| Externí odkaz: |
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