Percolation: Statistical Description of a Spatial and Temporal Highly Resolved Boundary Layer Transition
In this article spatio-temporally resolved particle image velocimetry data of a flat plate’s boundary layer are shown. With this set up, it is possible to capture the highly unsteady phase transition from laminar to turbulent state of the boundary layer close to the surface. In the evaluation of the boundary layer data it is shown that it is possible to link the laminar-turbulent phase transition to the (2+1)D directed percolation universality class. This can be shown by the unique exponents of the directed percolation class which will be extracted from the PIV data.
The authors thank the Niedersächsische Ministerium für Wissenschaft und Kultur (Ministry of Science and Culture of Lower Saxony) for financial support.
- 3.M. Sano, K. Tamai. A universal transition to turbulence in channel flow. Nature Physics, 2016Google Scholar
- 4.G. Lemoult, L. Shi, K. Avila, S.V Jalikop, M. Avila, B. Hof. Directed percolation phase transition to sustained turbulence in couette flow. Nature Physics, 2016Google Scholar
- 6.T. Kreilos, B. Eckhardt, T.M Schneider. Increasing lifetimes and the growing saddles of shear flow turbulence. Physical review letters, 112(4):044503, 2014Google Scholar
- 7.H.-Y. Shih, T.-L. Hsieh, N. Goldenfeld. Ecological collapse and the emergence of travelling waves at the onset of shear turbulence. Nature Physics, 2015Google Scholar