{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T23:45:40Z","timestamp":1791330340030,"version":"4.3.1"},"reference-count":32,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2015,4,13]],"date-time":"2015-04-13T00:00:00Z","timestamp":1428883200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In order to describe the phenomenon of intermittency in wall turbulence and, more particularly, the behaviour of moments                                                    and    and intermittency exponents \u03b6P with the order p and distance to the wall, we developed a new geometrical framework called \u201centropic-skins geometry\u201d based on the notion of scale-entropy which is here applied to an experimental database of boundary layer flows. Each moment has its own spatial multi-scale support \u03a9p (\u201cskin\u201d). The model assumes the existence of a hierarchy of multi-scale sets \u03a9p ranged from the \u201cbulk\u201d to the \u201ccrest\u201d. The crest noted characterizes the geometrical support where the most intermittent (the highest) fluctuations in energy dissipation occur; the bulk is the geometrical support for the whole range of fluctuations. The model assumes then the existence of a dynamical flux through the hierarchy of skins. The specific case where skins display a fractal structure is investigated. Bulk fractal dimension     and crest dimension     are linked by a scale-entropy flux defining a reversibility efficiency     (d is the embedding dimension). The model, initially developed for homogeneous and isotropic turbulent flows, is applied here to wall bounded turbulence where intermittency exponents are measured by extended  self-similarity. We obtained for intermittency exponents the analytical expression    with \u03b3 \u2248 0.36 in agreement with experimental results.<\/jats:p>","DOI":"10.3390\/e17042198","type":"journal-article","created":{"date-parts":[[2015,4,14]],"date-time":"2015-04-14T03:11:46Z","timestamp":1428981106000},"page":"2198-2217","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Entropic-Skins Geometry to Describe Wall  Turbulence Intermittency"],"prefix":"10.3390","volume":"17","author":[{"given":"Diogo","family":"Queiros-Conde","sequence":"first","affiliation":[{"name":"Laboratory Energetics Mechanics Electromagnetism (LEME), Universit\u00e9 Paris Ouest Nanterre la D\u00e9fense, P\u00f4le de Ville d'Avray, 50 rue de S\u00e8vres 92410 Ville d'Avray, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Johan","family":"Carlier","sequence":"additional","affiliation":[{"name":"IRSTEAF, 17 Avenue de Cucill\u00e9 CS 64429-35044 Rennes Cedex, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lavinia","family":"Grosu","sequence":"additional","affiliation":[{"name":"Laboratory Energetics Mechanics Electromagnetism (LEME), Universit\u00e9 Paris Ouest Nanterre la D\u00e9fense, P\u00f4le de Ville d'Avray, 50 rue de S\u00e8vres 92410 Ville d'Avray, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michel","family":"Stanislas","sequence":"additional","affiliation":[{"name":"Ecole Centrale de Lille, LML UMR 8107, Bv Paul Langevin, 59655 Villeneuve d'Ascq Cedex, France"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,4,13]]},"reference":[{"key":"ref_1","first-page":"9","article-title":"The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers","volume":"30","author":"Kolmogorov","year":"1941","journal-title":"Doklady Akademii Nauk SSSR"},{"key":"ref_2","first-page":"538","article-title":"On degeneration (decay) of isotropic turbulence in an incompressible flow","volume":"32","author":"Kolmogorov","year":"1941","journal-title":"Doklady Akademii Nauk SSSR"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1017\/S0022112084000513","article-title":"High-order velocity structure functions in turbulent shear-flows","volume":"140","author":"Anselmet","year":"1984","journal-title":"J. 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