Investigation of Ultrasonic Flowmeter Error in Distorted Flow Using Two-peak Salami Functions

: pp. 144 – 151
Received: November 29, 2021
Revised: December 14, 2021
Accepted: December 20, 2021
Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University

Results of investigating the additional error of ultrasonic flowmeters caused by the distortion of the flow are presented in the article. The location coordinates of acoustic paths were calculated for their number from 1 to 6 according to the different numerical integrating methods: Gauss (Gauss-Legendre, Gauss-Jacobi), Chebyshev (equidistant location of acoustic paths), Westinghouse method, method of OWICS (Optimal Weighted Integration for Circular Sections). This made it possible to realize the flowrate equation for multi-path ultrasonic flowmeters and to determine their additional error for different location of the acoustic paths. The average flow velocity along each path is calculated based on the flow velocity profile in the pipe cross section. Four two-peak Salami functions of velocity are used to calculate the velocity profile of the distorted flow caused by typical local resistances. According to the research results the recommendations were developed for choosing the number of the acoustic paths of the ultrasonic flowmeters and for using the methods for determining the location coordinates of the acoustic paths.

  1. ISO 17089-1: Measurement of fluid flow in closed conduits – Ultrasonic meters for gas. Part 1: Meters for custody transfer and allocation measurement, Geneva, 2010.
  2. Lunde P., Froysa K.-E. and Vestrheim M. (2000) GERG Project on ultrasonic gas flow meters, Phase II : technical monograph TM 11, Brussels.
  3. Roman V.I. and Matiko F.D. (2017) Investigation of ultrasonic flowmeter error in conditions of distortion of flow structure using one peak functions Salami. Metrology and devices, 3, 36-43. (in Ukrainian)
  4. Salami L.A. (1984) Application of a computer to asymmetric flow measurement in circular pipes. Trans. Inst. Meas. Control, 6, 197-206.
  5. Moore P.L., Brown G.J. and Stimpson B.P. (2000) Ultrasonic transit-time flowmeters modelled with theoretical velocity profiles: Methodology. Meas. Sci. Technol., 11, 1802-1811.
  6. Dorozhovets M.M., Semenystyi A.V. and Stadnyk B.I. (2004) Theoretical analysis of the spatial distribution of the fluid velocity using functions Salami for multi-path ultrasonic flowmeter. Bulletin of LPNU : Automation, measurement and control, 500, 131-134. (in Ukrainian)
  7. Korobko I.V. and Volynska Ya.V. (2013) Assessment of fluid flow asymmetry in the measurement of flow rate and volume. Bulletin of NTUU«KPI» : Instrument engineering, 45, 91-98. (in Ukrainian)
  8. Masloboev Ju.P., Ruchkin S.V., Rychagov M.N. and Tereshhenko S.A. (2002) Characterization of perturbed streams based on ultrasonic measurements using a set of basis functions Salami. Proceedings of the Nizhny Novgorod acoustic scientific session, 1, 388-390. (in Russian)
  9. Zanker K.J. (1999) The effects of Reynolds number, wall roughness, and profile asymmetry on single- and multi-path ultrasonic meters. Proceedings of XVII International North Sea Flow Measurement Workshop, Oslo, 25-28 October 1999, 117-129.
  10. Dandan Zheng, Dan Zhao and Jianqiang Mei (2015) Improved numerical integration method for flowrate of ultrasonic flowmeter based on Gauss quadrature for non-ideal flow fields. Flow Measurement and Instrumentation, 41, 28-35.
  11. Tresch T., Gruber P. and Staubli T. (2006) Comparison of integration methods for multipath acoustic discharge measurements. Proceedings of VI International Conference on “IGHEM”, Portland Oregon, 30 July – 1 August 2006.
  12. Duffell C.J., Brown G.J., Barton N.A. and Stimpson B.P. (2003) Using optimization algorithms and CFD to improve performance of ultrasonic flowmeters. Proceedings of II International South East Asia Hydrocarbon Flow Measurement Workshop, Kuala Lumpur, 25-28 March 2003.
  13. Roman V.I. and Matiko F.D. (2014) Definition of weighting coefficients of acoustic channels for ultrasonic flowmeters. Metrology and devices, 3, 11-20. (in Ukrainian)
F. Matiko, V. Roman, H. Matiko, D. Yalinskyi. Investigation of ultrasonic flowmeter error in distorted flow using two-peak Salami functions. Energy Engineering and Control Systems, 2021, Vol. 7, No. 2, pp. 144 – 151.