%0 Unpublished work %T Preturbulence in momentum-relaxing Navier-Stokes hydrodynamics %+ Pacific Quantum Center [Vladivostok] %+ Max-Planck-Institut für Chemie (MPIC) %+ Institut Denis Poisson (IDP) %A Goy, Vladimir A. %A Vool, Uri %A Chernodub, Maxim N. %Z 6+3 pages, 7 figures %8 2023-03-17 %D 2023 %Z 2303.09286 %Z Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn] %Z Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]Preprints, Working Papers, ... %X In a hydrodynamic regime of electronic fluids, the electron scattering on impurities and phonons inhibits the development of oscillating preturbulent phenomena (such as the Kármán vortex shedding) and enforces a laminar flow. Working in a local generalization of the Navier-Stokes hydrodynamics of incompressible two-dimensional fluids, we show that the critical relaxation time separating these two regimes is described by a surprisingly simple fractional power function of the Reynolds number. The critical exponent, α 4/3, sets particular experimental conditions for the observation of preturbulent effects in electronic fluids. %G English %2 https://hal.science/hal-04033965/document %2 https://hal.science/hal-04033965/file/Karman_vortices_and_tadpoles.pdf %L hal-04033965 %U https://hal.science/hal-04033965 %~ UNIV-TOURS %~ CNRS %~ UNIV-ORLEANS %~ IDP %~ TEST3-HALCNRS