A. N. Kolmogorov

A. S. Monin, A. M. Yaglom

D. d'Humières, P. Lallemand

H. Bénard

Jogundas Armaitis

L. D. Landau, E. M. Lifshitz

S. Succi

T. von Kármán

Vaidas Juknevičius

Motivated by recent experimental and computational results concerning a three-dimensional structure of vortices behind a  vortex shedding flow meter  [M.  Reik  et  al., Forsch. Ingenieurwes. 74, 77 (2010)], we study the  Strouhal–Reynolds number dependence in the vortex street in two dimensions behind a trapezoid-shaped object by employing two types of Frisch–Hasslacher–Pomeau (FHP) models. Our geometry is intended to reproduce the operation of a vortex shedding flow meter in a two-dimensional setting, thus preventing the formation of a three-dimensional vortex structure. In particular, we check if the anomalous Reynolds–Strouhal number dependence reported for three dimensions can also be found in our two-dimensional simulation. As we find that the Strouhal number is nearly independent of the Reynolds number in this particular setup, our results provide support for the hypothesis that three-dimensional flow structures are responsible for that dependence, thus hinting at the importance of the pipe diameter to the accurate operation of industrial vortex flow meters.</jats:p

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Lithuanian Journal of Physics

Lattice gas automaton modelling of a vortex flow meter: Strouhal–Reynolds number dependence

Lattice gas automaton modelling of a vortex flow meter: Strouhal–Reynolds number dependence

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