Математическая модель трансформации двумерного течения в проточном тракте вихревого расходомера в трехмерное течение

Abstract

The article is devoted to the mathematical model development which transforming the two-dimensional flow variable such as frequency, phase, amplitude in the three-dimensional values. The paper presents the analysis results an existing 3D model, which implemented in ANSYS software package. It is used to flow simulate in the flow part of vortex flowmeter. The control points of flow part geometry the vortex flowmeter was define as an analysis results of stream simulation result in the flow part of vortex flowmeter. Mathematical modeling was carried out in these control points and collected the simulation results. The functional structure of a mathematical model for determining the flow parameters in the flow part of the vortex flowmeter was created for the variant of two-dimensional simulation. The mathematical method of transformation the two-dimensional simulation results to a threedimensional model was selected for flow simulation in the flow part of vortex flowmeter. A computational algorithm is a mathematical model relating the three-dimensional and twodimensional model of a vortex flow meter flow part was created. The algorithm is based on the fast Fourier transform and the minimization problem solution to determine the frequency, amplitude and phase of the signal. Research relevance related to the choice of optimal mathematical algorithm simulation vortex shedding process from bluff body in a tube (the flow part of the vortex flowmeter), and vortices downstream distribution.