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The article is devoted to mathematical modelling of processes, occurring in the owing part of the vortex owmeter, by the nite element method. The urgency of the current study is due to the lack of research in this area. The analysis of research literature devoted to the study of non-stationary vortex shedding processes and other hydrogasdynamics e ects occurring in the owing part of the vortex owmeter and similar devices has been performed. A brief description of the vortex generation process behind the blu body placed in a circular cross-section pipe as well as the basic criteria for functional products are presented. Various mathematical models for describing turbulent ows in pipes with an object or obstruction were investigated. The available software packages suitable for modelling unsteady turbulent ows were analyzed. The ANSYS software package, in particular CFX module for uid and gas, as well as various approaches to mathematical modelling were used to simulate the owing part of the vortex owmeter. The article provides a brief description of the basic computational domain settings, mesh formation and initial and boundary conditions setting. To verify the numerical calculations, physical experiments on uid and gas test benches were performed. For this purpose the samples corresponding to the numerical model have been manufactured and tested. The research ndings led us to conclude that in terms of accuracy and calculation time the optimal approach to numerical simulation of vortex generation processes (Karman vortex street) in the vortex owmeter is the use of the Reynolds-averaged Navier Stokes equations (or RANS equations) closed by means of a two equation model of turbulence, known as the k − ε model, which is con rmed by comparison with the experimental data.

Mathematical Modelling of Vortex Generation Process in the Flowing Part of the Vortex Flowmeter and Selection of an Optimal Turbulence Model