Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2020, Volume 13, Issue 2, Pages 136–143 (Mi vyuru550)  

Short Notes

Model of optimization of average flow speed in a pipe

N. S. Goncharov

South Ural State University, Chelyabinsk, Russian Federation

Abstract: We study the optimization model for dual beam ultrasonic flowmeter in terms of receiving an accurate estimation of the mean flow velocity over the cross-section of the pipe. According to the task of conditional optimization, a new method in finding quantitative characteristics (the mean flow velocity of turbulent fluid along the pipeline and the mean flow velocities along each acoustic path) and the weight coefficients vector of the model under consideration has been developed. Based on the finite element method, an algorithm is constructed for a numerical method for solving the problem. The results of computational experiments on the distribution of the velocity of a turbulent fluid flow are presented. The velocity plots and its profile on experimental data were found.

Keywords: 2-beam ultrasonic flowmeter, CFD modeling, turbulent fluid flow.

DOI: https://doi.org/10.14529/mmp200212

Full text: PDF file (342 kB)
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UDC: 517.9
MSC: 35G15
Received: 16.01.2020

Citation: N. S. Goncharov, “Model of optimization of average flow speed in a pipe”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:2 (2020), 136–143

Citation in format AMSBIB
\Bibitem{Gon20}
\by N.~S.~Goncharov
\paper Model of optimization of average flow speed in a pipe
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2020
\vol 13
\issue 2
\pages 136--143
\mathnet{http://mi.mathnet.ru/vyuru550}
\crossref{https://doi.org/10.14529/mmp200212}


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