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    Kawata, Takuya and Alfredsson, P. Henrik 2016. Turbulent rotating plane Couette flow: Reynolds and rotation number dependency of flow structure and momentum transport. Physical Review Fluids, Vol. 1, Issue. 3,

    Lasagna, D. Tutty, O.R. and Chernyshenko, S. 2016. Flow regimes in a simplified Taylor–Couette-type flow model. European Journal of Mechanics - B/Fluids, Vol. 57, p. 176.

    Salewski, Matthew and Eckhardt, Bruno 2015. Turbulent states in plane Couette flow with rotation. Physics of Fluids, Vol. 27, Issue. 4, p. 045109.

    Narasimhamurthy, Vagesh D. Andersson, Helge I. and Pettersen, Bjørnar 2014. Novel features of a fully developed mixing-layer between co-flowing laminar and turbulent Couette flows. Physics of Fluids, Vol. 26, Issue. 3, p. 031703.

    Tsukahara, Takahiro 2011. Structures and turbulent statistics in a rotating plane Couette flow. Journal of Physics: Conference Series, Vol. 318, Issue. 2, p. 022024.

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    Pettersson, B A and Andersson, H I 1997. Near-wall Reynolds-stress modelling in noninertial frames of reference. Fluid Dynamics Research, Vol. 19, Issue. 5, p. 251.

  • Journal of Fluid Mechanics, Volume 317
  • June 1996, pp. 195-214

Secondary flow in weakly rotating turbulent plane Couette flow

  • Knut H. Bech (a1) and Helge I. Andersson (a1)
  • DOI:
  • Published online: 01 April 2006

As in the laminar case, the turbulent plane Couette flow is unstable (stable) with respect to roll cell instabilities when the weak background angular velocity Ωk is antiparallel (parallel) to the spanwise mean flow vorticity (-dU/dy)k. The critical value of the rotation number Ro, based on 2Ω and dU/dy of the corresponding laminar flow, was estimated as 0.0002 at a low Reynolds number with fully developed turbulence. Direct numerical simulations were performed for Ro = ±0.01 and compared with earlier results for non-rotating Couette flow. At the low rotation rates considered, both senses of rotation damped the turbulence and the number of near-wall turbulence-generating events was reduced. The destabilized flow was more energetic, but less three-dimensional, than the non-rotating flow. In the destabilized case, the two-dimensional roll cells extracted a comparable amount of kinetic energy from the mean flow as did the turbulence, thereby decreasing the turbulent kinetic energy. The turbulence anisotropy was practically unaffected by weak spanwise rotation, while the secondary flow was highly anisotropic due to its inability to contract and expand in the streamwise direction.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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