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New Turbulent scaling laws arising from new statistical symmetries of the multi-point equations

Rosteck, Andreas and Oberlack, Martin and Khujadze, George (2010):
New Turbulent scaling laws arising from new statistical symmetries of the multi-point equations.
In: Proceedings of the 16th US National Congress of Theoretical and Applied Mechanics - USNCTAM2010, State College, PA, USA, June 27-July 2, 2010, [Conference or Workshop Item]

Abstract

Investigating the multi-point correlation (MPC) equations for the velocity and pressure fluctuations two new kinds of fundamental symmetries have been discovered. One of these symmetries was first observed for parallel wall-bounded shear flows in Khujadze and Oberlack (2004) though there this property only holds true for the two-point equation. Presently using this extended set of Lie symmetry groups a much wider class of invariant solutions or turbulent scaling laws can be derived for plane wall-bounded shear flow and decaying turbulence only employing first principles. In fact, the two presented applications can only be conceived from MPC equations using the new symmetries.

Item Type: Conference or Workshop Item
Erschienen: 2010
Creators: Rosteck, Andreas and Oberlack, Martin and Khujadze, George
Title: New Turbulent scaling laws arising from new statistical symmetries of the multi-point equations
Language: English
Abstract:

Investigating the multi-point correlation (MPC) equations for the velocity and pressure fluctuations two new kinds of fundamental symmetries have been discovered. One of these symmetries was first observed for parallel wall-bounded shear flows in Khujadze and Oberlack (2004) though there this property only holds true for the two-point equation. Presently using this extended set of Lie symmetry groups a much wider class of invariant solutions or turbulent scaling laws can be derived for plane wall-bounded shear flow and decaying turbulence only employing first principles. In fact, the two presented applications can only be conceived from MPC equations using the new symmetries.

Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Event Title: Proceedings of the 16th US National Congress of Theoretical and Applied Mechanics - USNCTAM2010
Event Location: State College, PA, USA
Event Dates: June 27-July 2, 2010
Date Deposited: 02 Sep 2011 13:07
Identification Number: USNCTAM2010-803
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