Oberlack, Martin ; Guenther, Silke (2004)
New scaling laws of shear-free turbulent diffusion and diffusion-waves.
IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow. Princeton, NJ, USA (11.09.2002-13.09.2002)
doi: 10.1007/978-94-007-0997-3_11
Konferenzveröffentlichung, Bibliographie
Kurzbeschreibung (Abstract)
We consider the problem of turbulence generation at a vibrating grid in the x 2-x 3 plane. Turbulence diffuses in the x 1 direction. Analyzing the multi-point correlation equation using Lie-group analysis we find three different solutions (scaling laws): classical diffusion-like solution (heat equation like), decelerating diffusion-wave solution and finite domain diffusion due to rotation. All solution have been obtained using Lie- group (symmetry) methods. It is shown that models based on Reynolds averaging are only capable to model either the diffusion-like solution or the decelerating diffusion-wave solution. The latter solution is only admitted under certain algebraic constraints on the model constants. Turbulent diffusion on a finite domain induced by rotation is not admitted by any of the classical models.
| Typ des Eintrags: | Konferenzveröffentlichung |
|---|---|
| Erschienen: | 2004 |
| Autor(en): | Oberlack, Martin ; Guenther, Silke |
| Art des Eintrags: | Bibliographie |
| Titel: | New scaling laws of shear-free turbulent diffusion and diffusion-waves |
| Sprache: | Englisch |
| Publikationsjahr: | 2004 |
| Ort: | Dordrecht [u.a.] |
| Verlag: | Kluwer Academic |
| Buchtitel: | IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow: Proceedings of the IUTAM Symposium held in Princeton, NJ, U.S.A., 11–13 September 2002 |
| Reihe: | Fluid Mechanics and Its Applications (FMIA) |
| Band einer Reihe: | 74 |
| Veranstaltungstitel: | IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow |
| Veranstaltungsort: | Princeton, NJ, USA |
| Veranstaltungsdatum: | 11.09.2002-13.09.2002 |
| DOI: | 10.1007/978-94-007-0997-3_11 |
| Kurzbeschreibung (Abstract): | We consider the problem of turbulence generation at a vibrating grid in the x 2-x 3 plane. Turbulence diffuses in the x 1 direction. Analyzing the multi-point correlation equation using Lie-group analysis we find three different solutions (scaling laws): classical diffusion-like solution (heat equation like), decelerating diffusion-wave solution and finite domain diffusion due to rotation. All solution have been obtained using Lie- group (symmetry) methods. It is shown that models based on Reynolds averaging are only capable to model either the diffusion-like solution or the decelerating diffusion-wave solution. The latter solution is only admitted under certain algebraic constraints on the model constants. Turbulent diffusion on a finite domain induced by rotation is not admitted by any of the classical models. |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) |
| Hinterlegungsdatum: | 20 Nov 2008 08:26 |
| Letzte Änderung: | 12 Nov 2024 12:19 |
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