{ "id": "1706.07774", "version": "v1", "published": "2017-06-23T16:40:02.000Z", "updated": "2017-06-23T16:40:02.000Z", "title": "Attached flow structure and streamwise energy spectra in a turbulent boundary layer", "authors": [ "Sricharan Srinath", "J. C Vassilicos", "Christophe Cuvier", "Jean-Philippe Laval", "Michel Stanislas", "Jean-Marc Foucaut" ], "categories": [ "physics.flu-dyn" ], "abstract": "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. Instead, $E_{11}(k_{x}) \\sim k_{x}^{-1-p}$ 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.", "revisions": [ { "version": "v1", "updated": "2017-06-23T16:40:02.000Z" } ], "analyses": { "keywords": [ "turbulent boundary layer", "streamwise energy spectrum", "attached flow structure", "wall-attached streaky structures conditional", "inside wall-attached streaky structures" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }