Lie group analysis, direct numerical simulation and wavelet analysis of a turbulent channel flow rotating about the streamwise direction [Elektronische Ressource] / vorgelegt von Tanja Weller

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Lie Group Analysis, Direct NumericalSimulation and Wavelet Analysis of aTurbulent Channel Flow Rotatingabout the Streamwise DirectionVom Fachbereich Maschinenbauan der Technischen Universita¨t DarmstadtzurErlangung des Grades eines Doktor-Ingenieurs (Dr.Ing.)genehmigteDissertationvorgelegt vonDipl.Ing. Tanja Welleraus MainzBerichterstatter: Prof. Dr.Ing. M. OberlackMitberichterstatter: Prof. Dr. rer. nat. M. SchaferTag der Einreichung: 28.11.2006Tag der mundlic¨ hen Pruf¨ ung: 24.01.2007D17Darmstadt, 2007iiiAbstractInthisthesisturbulentchannel”owwithstreamwiserotationhasbeeninvestigatedby means of an analytical and a numerical method.First investigations were done in 1998by Oberlack employing thesymmetry grouptheory. Oberlack showed that there is a new turbulent scaling law related to theturbulent channel ”ow rotating about the mean ”ow direction. The induction ofa cross ”ow in the spanwise direction is the most obvious difference compared tothe classical case, rotation about the spanwise direction.Established on these results the new scaling law was derived using Lie group analysis of the two-point correlation equations. Further it was shown that all sixcomponents of the Reynolds stress tensor are nonzero.ToverifytheseeffectsaDirectNumericalSimulationwasperformed. Theinenceof the rotation was studied at three different Reynolds numbers (Re = 180, 270τand 560) and at a variety of different rotation rates.

Informations

• Publié par: technischen_universitat_darmstadt
• Publié le: 01 janvier 2007
• Nombre de lectures: 19
• Langue: English
• Poids de l'ouvrage: 3 Mo

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