| HAL : hal-00013146, version 1 |
| arXiv : nlin.CD/0410007 |
| DOI : 10.1017/S002211004002332 |
| Fiche détaillée | Récupérer au format |
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| Journal of Fluid Mechanics 523 (2005) 99-108 |
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| Shear effects on passive scalar spectra |
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| A. Celani 1, 2M. Cencini 3, 4 |
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| (2005) |
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| The effects of a large-scale shear on the energy spectrum of a passively advected scalar field are investigated. The shear is superimposed on a turbulent isotropic flow, yielding an Obukhov-Corrsin $k^{-5/3}$ scalar spectrum at small scales. Shear effects appear at large scales, where a different, anisotropic behavior is observed. The scalar spectrum is shown to behave as $k^{-4/3}$ for a shear fixed in intensity and direction. For other types of shear characteristics, the slope is generally intermediate between the -5/3 Obukhov-Corrsin\'s and the -1 Batchelor\'s values. The physical mechanisms at the origin of this behaviour are illustrated in terms of the motion of Lagrangian particles. They provide an explanation to the scalar spectra shallow and dependent on the experimental conditions observed in shear flows at moderate Reynolds numbers. |
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| 1 : | Institut Non Linéaire de Nice Sophia-Antipolis (INLN) |
| CNRS : UMR6618 – Université Nice Sophia Antipolis [UNS] | |
| 2 : | Laboratoire de Cosmologie, Astrophysique Stellaire & Solaire, de Planétologie et de Mécanique des Fluides (CASSIOPEE) |
| Université Nice Sophia Antipolis [UNS] – CNRS : UMR6202 – Observatoire de la Côte d'Azur – INSU | |
| 3 : | Center for Statistical Mechanics and Complexity |
| INFN | |
| 4 : | Dipartimento di Fisica |
| Università degli studi di Roma I - La Sapienza | |
| 5 : | Génomique des Microorganismes Pathogènes |
| CNRS : UMR2171 – Institut Pasteur de Paris | |
| 6 : | Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE) |
| CNRS : UMR6594 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Ecole Centrale de Marseille | |
| 7 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
| CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS] | |
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| Domaine | : | Science non linéaire/Dynamique Chaotique Physique/Physique/Dynamique des Fluides |
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| Lien vers le texte intégral : |
| hal-00013146, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00013146 | |
| oai:hal.archives-ouvertes.fr:hal-00013146 | |
| Contributeur : Katy Remy | |
| Soumis le : Jeudi 3 Novembre 2005, 15:33:14 | |
| Dernière modification le : Mardi 7 Octobre 2008, 14:00:07 | |