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Particle Tracking Velocimetry in Transitional Plane Couette Flow

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Advances in Turbulence XII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 132))

Abstract

Plane Couette flow has the peculiar property that transition to turbulence occurs despite the fact that its laminar profile is linearly stable. For high enough Reynolds numbers small amplitude perturbations are enough to initiate the growth of turbulent spots. Such spots have been subject to investigation for a few decades, see e.g. [1, 2]. In addition, it has been observed that around transitional Reynolds numbers laminar and turbulent regions can co-exist if this Reynolds number is approached from the turbulent side, e.g., [3, 4]. For both cases, distinct interfaces divide the regimes between turbulent and non turbulent flow. It is our main interest to study the evolution of such interfaces similar to the work of [5] where the shear free case with inhomogeneous forcing by an oscillating grid has been investigated in detail.

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References

  1. Mohamed Gad el Hak, Ron F. Blackwelder, and James J. Riley. On the growth of turbulent regions in laminar boundary layers. J. Fluid Mech., 110:73–95, 1981.

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  2. Bruno Eckhardt, Holger Faisst Armin Schmiegel, and Tobias M. Schneider. Dynamical systems and the transition to turbulence in linearly stable shear flows. Phil. Trans. R. Soc. A, 366:1297–1315, 2008.

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  4. Dwight Barkley and Laurette S. Tuckerman. Mean flow of turbulent-laminar patterns in plane Couette flow. J. Fluid Mech., 576:109–137, 2007.

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  5. M. Holzner, A. Liberzon, N. Nikitin, B. Lüthi, W. Kinzelbach, and A. Tsinober. A Lagrangian investigation of the small-scale features of turbulent entrainment through particle tracking and direct numerical simulation. J. Fluid Mech., 598:465–475, 2008.

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Correspondence to B. Lüthi .

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© 2009 Springer-Verlag Berlin Heidelberg

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Lüthi, B., Holzner, B., Kinzel, M., Liberzon, A., Tsinober, A. (2009). Particle Tracking Velocimetry in Transitional Plane Couette Flow. In: Eckhardt, B. (eds) Advances in Turbulence XII. Springer Proceedings in Physics, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03085-7_28

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  • DOI: https://doi.org/10.1007/978-3-642-03085-7_28

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  • Publisher Name: Springer, Berlin, Heidelberg

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  • Online ISBN: 978-3-642-03085-7

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