Abstract
The work suggests a mathematical model transforming the plane flow variables such as frequency, phase, amplitude to spatial ones for the flow part of a vortex flowmeter. A mathematical model computational algorithm was created. It connects the three-dimensional and two-dimensional models of the flow part. The algorithm is based on the fast Fourier transform and minimization problem solution to determine frequency, amplitude, and the signal phase. The use of this mathematical model could reduce the simulation time and improve the results accuracy. The article describes a mathematical model, its structure, coefficients, functional dependencies and experimental data. By means of the streamline fields analysis in the flow part of the vortex flow meter, the control points were defined. Simulation data were collected at these control points. The functional structure of a mathematical model for determining the flow parameters in the flow part was created for the two-dimensional simulation case. This mathematical model has been considered as the basis for making of an optimization algorithm for the flow part with the Karman vortex street effect. The research relevance is associated with choice of the optimal simulation mathematical algorithm for the vortex shedding process from a bluff body inside a tube (the flow part of the vortex flow meter), and downstream vortices distribution.
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