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DNS and Scaling Laws from the New Symmetry Croups of ZPG Turbulent Boundary Layer

Khujadze, George ; Oberlack, Martin (2004)
DNS and Scaling Laws from the New Symmetry Croups of ZPG Turbulent Boundary Layer.
13th STAB/DGLR Symposium. München (12.11.2002-14.11.2002)
doi: 10.1007/978-3-540-39604-8_43
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

The Lie group approach developed by Oberlack (see [1] and references therein) is used to derive new scaling laws for zero pressure gradient turbulent boundary layer flow. A direct numerical simulation (DNS) is performed for its verification. The approach unifies a large set of scaling laws (invariant solutions) for the mean velocity of stationary parallel turbulent shear flows and extends the work done by Oberlack. From the two-point correlation equations the knowledge of the symmetries allows us to rederive a broad variety of invariant solutions for turbulent flows: the logarithmic law of the wall, an algebraic law, the viscous sublayer, the linear region in the centre of a turbulent Couette flow and in the centre of a rotating channel flow, and a new exponential mean velocity profile that is found in the mid-wake region of flat-plate boundary layers. The present focus is on the exponential law and corresponding new scaling laws for one- and two-point correlations.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2004
Autor(en): Khujadze, George ; Oberlack, Martin
Art des Eintrags: Bibliographie
Titel: DNS and Scaling Laws from the New Symmetry Croups of ZPG Turbulent Boundary Layer
Sprache: Englisch
Publikationsjahr: 2004
Ort: Berlin
Verlag: Springer
Buchtitel: New Results in Numerical and Experimental Fluid Mechanics IV Contributions to the 13th STAB/DGLR Symposium Munich, Germany 2002
Reihe: Notes on numerical fluid mechanics and multidisciplinary design
Band einer Reihe: 87
Veranstaltungstitel: 13th STAB/DGLR Symposium
Veranstaltungsort: München
Veranstaltungsdatum: 12.11.2002-14.11.2002
DOI: 10.1007/978-3-540-39604-8_43
Kurzbeschreibung (Abstract):

The Lie group approach developed by Oberlack (see [1] and references therein) is used to derive new scaling laws for zero pressure gradient turbulent boundary layer flow. A direct numerical simulation (DNS) is performed for its verification. The approach unifies a large set of scaling laws (invariant solutions) for the mean velocity of stationary parallel turbulent shear flows and extends the work done by Oberlack. From the two-point correlation equations the knowledge of the symmetries allows us to rederive a broad variety of invariant solutions for turbulent flows: the logarithmic law of the wall, an algebraic law, the viscous sublayer, the linear region in the centre of a turbulent Couette flow and in the centre of a rotating channel flow, and a new exponential mean velocity profile that is found in the mid-wake region of flat-plate boundary layers. The present focus is on the exponential law and corresponding new scaling laws for one- and two-point correlations.

Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy)
Hinterlegungsdatum: 20 Nov 2008 08:26
Letzte Änderung: 15 Nov 2024 08:53
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