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Very large structures in plane turbulent Couette flow

Published online by Cambridge University Press:  26 April 2006

Jukka Komminaho ,
Anders Lundbladh  and
Arne V. Johansson
Jukka Komminaho
Affiliation:
Royal Institute of Technology, Department of Mechanics, Stockholm, Sweden
Anders Lundbladh
Affiliation:
FFA, Bromma, Sweden Present address: Volvo Aero Corp. 461 81 Trollhättan, Sweden.
Arne V. Johansson
Affiliation:
Royal Institute of Technology, Department of Mechanics, Stockholm, Sweden
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Abstract

A direct numerical simulation was carried out of plane turbulent Couette flow at a Reynolds number of 750, based on half the velocity difference between the walls and half the channel width. Particular attention was paid to choosing a computational box that is large enough to accommodate even the largest scales of the turbulence. In the central region of the channel very large elongated structures were observed, in accordance with earlier findings. The study is focused on the properties of these structures, but is also aimed at obtaining accurate turbulence statistics. Terms in the energy budget were evaluated and discussed. Also, the limiting values of various quantities were determined and their relevance in high Reynolds number flows discussed. The large structures were shown to be very sensitive to an imposed system rotation. They could be essentially eliminated with a stabilizing system rotation (around the spanwise axis) small enough for only minor damping of the rest of the scales. Despite the fact that the large structures dominate the appearance of the flow field their energy content was shown to be relatively small, on the order of 10% of the total turbulent kinetic energy.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 320 , 10 August 1996 , pp. 259 - 285
Copyright
© 1996 Cambridge University Press

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References

Alfredsson, P. H., Johansson, A. V., Haritonidis, J. H. & Eckelmann, H. 1988 The fluctuating wall-shear stress and the velocity field in the viscous sublayer. Phys. Fluids 31, 1026–1033.Google Scholar
Alfredsson, P. H. & Persson, H. 1989 Instabilities in channel flow with system rotation. J. Fluid Mech. 202 543–557.Google Scholar
Antonia, R. A. & Kim, J. 1994 Low-Reynolds-number effects on near-wall turbulence. J. Fluid Mech. 276, 61–80.Google Scholar
Aydin, E. M. & Leutheusser, H. J. 1991 Plane-Couette flow between smooth and rough walls. Exps. Fluids 11 302–312.Google Scholar
Bech, K. H. 1995 Simulation of rotating and non-rotating turbulent plane Couette flow. Doctoral thesis, Department of Applied Mechanics, Thermodynamics and Fluid dynamics, Norwegian Institute of Technology, Trondheim.
Bech, K. H., Tillmark, N., Alfredsson, P. H. & Andersson, H. I. 1995 An investigation of turbulent Couette flow at low Reynolds numbers. J. Fluid Mech. 286 291–325 (referred to herein as BTAA).Google Scholar
El Telbany, M. M. M. & Reynolds, A. J. 1982 The structure of turbulent plane Couette flow. Trans. ASME I: J. Fluids Engng 104, 367–372.Google Scholar
Gavrilakis, S. 1992 Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct. J. Fluids Mech. 244, 101–129.Google Scholar
Hamilton, J. H., Kim, J. & Waleffe, F. 1995 Regeneration of near-wall turbulence structures. J. Fluid Mech. 287 317–348.Google Scholar
Johansson, A. V., Alfredsson, P. H. & Kim, J. 1991 Evolution and dynamics of shear-layer structures in near-wall turbulence. J. Fluid Mech. 224.Google Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow. J. Fluid Mech. 177 133–166 (referred to herein as KMM).Google Scholar
Kim, K. Y. & Gibson, M. M. 1989 On modelling turbulent Couette flow. Seventh Symp. on Turbulent Shear Flows: Open forum abstracts, Stanford University, California, Aug. 21–23, pp. T8.1.1–T8.1.2.
Komminaho, J., Lundbladh, A. & Johansson, A. V. 1995 Determination of the transition Reynolds number in plane Couette flow through study of relaminarization. Phys. Fluids (submitted).Google Scholar
Kristofferson, R., Bech, K. H. & Andersson, H. I. 1993 Numerical study of turbulent plane Couette flow at low Reynolds number. Appl. Sci. Res. 51, 337–343.Google Scholar
Lee, M. J. & Kim, J. 1991 The structure of turbulence in a simulated plane Couette flow. Eighth Symp. on Turbulent Shear Flows Tech. University of Munich, Sept. 9–11, pp. 5.3.1–5.3.6.
Lundbladh, A. & Johansson, A. V. 1991 Direct simulation of turbulent spots in plane Couette flow. J. Fluid Mech. 229, 499–516.Google Scholar
Mansour, N. N., Kim, J. & Moin, P. 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 15–44.Google Scholar
Papavassiliou, D. V. & Hanratty, T. J. 1996 Secondary flow and residual turbulence in plane Couette flow. In Proc. Intl Conf. on Turbulent Heat Transfer San Diego, CA, March 10–15. To appear.
Reichardt, H. 1956 Über die Geschwindigkeitsverteilung in einer geradlinigen turbulenten Couetteströmung. Z. Angew. Math. Mech. 36, 26–29.Google Scholar
Reichardt, H. 1959 Gezetzmássigkeiten der geradlinigen turbulenten Couetteströmung. Mitt. Max-Planck-Institut für Strömungsforschung 22.Google Scholar
Robertson, J. M. & Johnson, H. F., 1970 Turbulence structures in plane Couette flow. J. Engng Mech. Div. ASCE 96, 1171–1172.Google Scholar
Tillmark, N. 1995 Experiments on transition and turbulence in plane Couette flow. Doctoral thesis, Department of Mechanics, Royal Institute of Technology, S-100 44 Stockholm.
Tillmark, N. & Alfredsson, P. H. 1992 Experiments on transition in plane Couette flow. J. Fluid Mech. 235, 89–102.Google Scholar