Couette flow transition in 2D directed percolation universality class

POSTER

Abstract

In Couette flow turbulence arises despite the linear stability of the laminar flow and the nature of this transition has remained unresolved despite numerous theoretical and experimental efforts. We here report an experimental study where the Couette flow is realized in a very narrow gap (negligible curvature) with azimuthal and axial aspect ratios of about 2000 full gaps. At the same time the periodic boundary conditions allow excessively long observation times. By investigating turbulent stripes at the onset of sustained turbulence we measure the critical exponents that fully characterize this transition. As shown the onset of turbulence in Couette flow falls into the two dimensional directed percolation universality class.

*This work was supported by a grant from the Simons Foundation (grant number 662960) and by the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement 306589

Authors

  • Lukasz Klotz

    • IST Austria
  • Gregoire Lemoult

    • Normandie Université and Institute of Science and Technology Austria
    • CNRS - Normandie Universite
    • CNRS
  • Bjorn Hof

    • Institute of Science and Technology Austria
    • IST Austria
    • Institute of Science and Technology (IST Austria)