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

Abstract

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.