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Experiments on the spreading of shear-free turbulence under the influence of confinement and rotation

Kinzel, Matthias and Holzner, Markus and Lüthi, Beat and Tropea, Cameron and Kinzelbach, Wolfgang and Oberlack, Martin :
Experiments on the spreading of shear-free turbulence under the influence of confinement and rotation.
[Online-Edition: http://www.springerlink.com/content/0866p8162081h434/]
In: Experiments in Fluids, 47 (4-5) pp. 801-809. ISSN 0723-4864
[Article] , (2009)

Official URL: http://www.springerlink.com/content/0866p8162081h434/

Abstract

From Lie-group (symmetry) analysis of the multi-point correlation equation Oberlack and Günther (Fluid Dyn Res 33:453-476, 2003) found three different solutions for the behavior of shear-free turbulence: (i) a diffusion like solution, in which turbulence diffuses freely into the adjacent calm fluid, (ii) a deceleration wave like solution when there is an upper bound for the integral length scale and (iii) a finite domain solution for the case when rotation is applied to the system. This paper deals with the experimental validation of the theory. We use an oscillating grid to generate turbulence in a water tank and Particle Image Velocimetry (PIV) to determine the two-dimensional velocity and out-of-plane vorticity components. The whole setup is placed on a rotating table. After the forcing is initiated, a turbulent layer develops which is separated from the initially irrotational fluid by a sharp interface, the so-called turbulent/non-turbulent interface (TNTI). The turbulent region grows in time through entrainment of surrounding fluid. We measure the propagation of the TNTI and find quantitative agreement with the predicted spreading laws for case one and two. For case three (system rotation), we observe that there is a sharp transition between a 3D turbulent flow close to the source of energy and a more 2D-like wavy flow further away. We measure that the separation depth becomes constant and in this sense, we confirm the theoretical finite domain solution.

Item Type: Article
Erschienen: 2009
Creators: Kinzel, Matthias and Holzner, Markus and Lüthi, Beat and Tropea, Cameron and Kinzelbach, Wolfgang and Oberlack, Martin
Title: Experiments on the spreading of shear-free turbulence under the influence of confinement and rotation
Language: English
Abstract:

From Lie-group (symmetry) analysis of the multi-point correlation equation Oberlack and Günther (Fluid Dyn Res 33:453-476, 2003) found three different solutions for the behavior of shear-free turbulence: (i) a diffusion like solution, in which turbulence diffuses freely into the adjacent calm fluid, (ii) a deceleration wave like solution when there is an upper bound for the integral length scale and (iii) a finite domain solution for the case when rotation is applied to the system. This paper deals with the experimental validation of the theory. We use an oscillating grid to generate turbulence in a water tank and Particle Image Velocimetry (PIV) to determine the two-dimensional velocity and out-of-plane vorticity components. The whole setup is placed on a rotating table. After the forcing is initiated, a turbulent layer develops which is separated from the initially irrotational fluid by a sharp interface, the so-called turbulent/non-turbulent interface (TNTI). The turbulent region grows in time through entrainment of surrounding fluid. We measure the propagation of the TNTI and find quantitative agreement with the predicted spreading laws for case one and two. For case three (system rotation), we observe that there is a sharp transition between a 3D turbulent flow close to the source of energy and a more 2D-like wavy flow further away. We measure that the separation depth becomes constant and in this sense, we confirm the theoretical finite domain solution.

Journal or Publication Title: Experiments in Fluids
Volume: 47
Number: 4-5
Publisher: Springer
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering > Fluid Mechanics and Aerodynamics (SLA)
Date Deposited: 24 Aug 2011 18:11
Official URL: http://www.springerlink.com/content/0866p8162081h434/
Additional Information:

doi:10.1007/s00348-009-0724-4

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