Analytical dependences of calculation of location coordinates and weight coefficients of acoustic paths of ultrasonic flowmeters.
Keywords:
ultrasonic flowmeter, acoustic path, Gauss numerical integration method, Jacobi polynomial, approximation
Abstract
On the basis of Gauss-Jacobi numerical integration methods developed analytical calculation depending on location coordinates and weighting coefficients acoustic paths of two-, three- and four-path chordal ultrasonic flow meters.
References
International Organization for Standardization. (2010). ISO 17089-1: Measurement of fluid flow in closed conduits - Ultrasonic meters for gas. Part 1: Meters for custody transfer and allocation measurement. Geneva, Switzerland: ISO.
Tresch, T., Gruber, P., & Staubli, T. (2006, July 30 – August 1). Comparison of integration methods for multipath acoustic discharge measurements. Paper presented at the Proceedings of the 6th International Conference on IGHEM, Portland Oregon, USA.
Voser, A. (1999). Analysis and error optimization of multipath strength acoustic flow measurement in water turbines. Unpublished master‘s doctoral dissertation, Swiss Federal Institute of Technology Zurich, Zurich, Switzerland.
Pannel, C. N., Evans, C. N., & Jackson, D. A. (1990). A new integration technique for flowmeters with chordal paths. Flow Measurement Instrumentation, 1, 216-224.
Moore, P. I., Brown, G. J., & Simpson, B. P. (2000). Ultrasonic transit-time flowmeters modeled with theoretical velocity profiles: methodology. Meas. Sci. Technol, 11, 1802-1811.
American Gas Association. (2007). AGA Transmission Measurement Committee Report No.9: Measurement of gas by multipath ultrasonic meters (2nd ed.). Washington, DC: AGA.
The European Gas Research Group. (2000). GERG Technical Monograph No.11: Project on Ultrasonic Gas Flow Meters, Phase II. Brussels, Belgium: GERG.
Abramovitz, M., & Stegum, I. (1964). Handbook of mathematical function. New York, NY: NBS.
Press, W. H., Teukolsky S. A., Vetterling W. T., & Flannery B. P. (1995). Numerical Recipes in C (2nd ed.). Cambridge, England: Cambridge University Press.
Tereshchenko, S. A., & Rychagov, M. N. (2004). Multiplane acoustic flowmetering based on quadrature integration methods. Acoustic magazine. 50(1), 116-122.
Kostylev, V. V., Sorokoput, V. L., Stecenko, A. A., & Stecenko, A. I. (2002, April 23-25). Principles of construction of a multi-channel ultrasonic flowmeter. Paper presented at the Proceedings of the 12th international scientific and practical conference “Improvement of flow measurement of liquid, gas and steam”, St. Petersburg.
Havrylyuk, I. P., & Makarov, V. L. (1995). Methods of computation. In Part 2. Part 1. Tutorial. Kyiv: Vyshcha shkola.
Ostafiychuk V.Ya. (2020). Research of design characteristics of ultrasonic flowmeters. Master's thesis. Lviv Polytechnic National University, Lviv. – 74 pages.
Tresch, T., Gruber, P., & Staubli, T. (2006, July 30 – August 1). Comparison of integration methods for multipath acoustic discharge measurements. Paper presented at the Proceedings of the 6th International Conference on IGHEM, Portland Oregon, USA.
Voser, A. (1999). Analysis and error optimization of multipath strength acoustic flow measurement in water turbines. Unpublished master‘s doctoral dissertation, Swiss Federal Institute of Technology Zurich, Zurich, Switzerland.
Pannel, C. N., Evans, C. N., & Jackson, D. A. (1990). A new integration technique for flowmeters with chordal paths. Flow Measurement Instrumentation, 1, 216-224.
Moore, P. I., Brown, G. J., & Simpson, B. P. (2000). Ultrasonic transit-time flowmeters modeled with theoretical velocity profiles: methodology. Meas. Sci. Technol, 11, 1802-1811.
American Gas Association. (2007). AGA Transmission Measurement Committee Report No.9: Measurement of gas by multipath ultrasonic meters (2nd ed.). Washington, DC: AGA.
The European Gas Research Group. (2000). GERG Technical Monograph No.11: Project on Ultrasonic Gas Flow Meters, Phase II. Brussels, Belgium: GERG.
Abramovitz, M., & Stegum, I. (1964). Handbook of mathematical function. New York, NY: NBS.
Press, W. H., Teukolsky S. A., Vetterling W. T., & Flannery B. P. (1995). Numerical Recipes in C (2nd ed.). Cambridge, England: Cambridge University Press.
Tereshchenko, S. A., & Rychagov, M. N. (2004). Multiplane acoustic flowmetering based on quadrature integration methods. Acoustic magazine. 50(1), 116-122.
Kostylev, V. V., Sorokoput, V. L., Stecenko, A. A., & Stecenko, A. I. (2002, April 23-25). Principles of construction of a multi-channel ultrasonic flowmeter. Paper presented at the Proceedings of the 12th international scientific and practical conference “Improvement of flow measurement of liquid, gas and steam”, St. Petersburg.
Havrylyuk, I. P., & Makarov, V. L. (1995). Methods of computation. In Part 2. Part 1. Tutorial. Kyiv: Vyshcha shkola.
Ostafiychuk V.Ya. (2020). Research of design characteristics of ultrasonic flowmeters. Master's thesis. Lviv Polytechnic National University, Lviv. – 74 pages.
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Published
2021-06-17
How to Cite
Roman , V., & Izhik А. (2021). Analytical dependences of calculation of location coordinates and weight coefficients of acoustic paths of ultrasonic flowmeters . COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION, (43), 122-128. https://doi.org/10.36910/6775-2524-0560-2021-43-20
Section
Automation and Control
