| Autor: |
Tarraf W; Laboratory of Research in Industrial Eco-Innovation and Energetic (LR2E), Ecole Supérieure d'Ingénieurs ECAM-EPMI, 13 Bd de l'Hautil, 95000 Cergy, France.; Laboratory of Energetics Mechanics and Electromagnetism (LEME), Université Paris Nanterre, Pôle de Ville d'Avray, 50 rue de Sèvres, 92410 Ville d'Avray, France., Queiros-Condé D; Laboratory of Energetics Mechanics and Electromagnetism (LEME), Université Paris Nanterre, Pôle de Ville d'Avray, 50 rue de Sèvres, 92410 Ville d'Avray, France., Ribeiro P; Laboratory of Energetics Mechanics and Electromagnetism (LEME), Université Paris Nanterre, Pôle de Ville d'Avray, 50 rue de Sèvres, 92410 Ville d'Avray, France., Absi R; Laboratory of Research in Industrial Eco-Innovation and Energetic (LR2E), Ecole Supérieure d'Ingénieurs ECAM-EPMI, 13 Bd de l'Hautil, 95000 Cergy, France. |
| Abstrakt: |
The phenomenon of intermittency has remained a theoretical concept without any attempts to approach it geometrically with the use of a simple visualization. In this paper, a particular geometric model of point clustering approaching the Cantor shape in 2D, with a symmetry scale θ being an intermittency parameter, is proposed. To verify its ability to describe intermittency, to this model, we applied the entropic skin theory concept. This allowed us to obtain a conceptual validation. We observed that the intermittency phenomenon in our model was adequately described with the multiscale dynamics proposed by the entropic skin theory, coupling the fluctuation levels that extended between two extremes: the bulk and the crest. We calculated the reversibility efficiency γ with two different methods: statistical and geometrical analyses. Both efficiency values, γstat and γgeo, showed equality with a low relative error margin, which actually validated our suggested fractal model for intermittency. In addition, we applied the extended self-similarity (E.S.S.) to the model. This highlighted the intermittency phenomenon as a deviation from the homogeneity assumed by Kolmogorov in turbulence. |
