Software for Calculating the Location Coordinates and Weighting Coefficients of Acoustic Paths of Ultrasonic Flow Meters

Author:

Roman Vitalii, ,Matiko Fedir,Kutsan Anzhelina

Abstract

The article focuses on the development of software that allows you to calculate the location coordinates (x) and weighting coefficients (w) of acoustic paths of multipath chordal ultrasonic flow meters. The input data for the calculation are three (and in one case – four) parameters – the number of acoustic paths (N) ultrasonic flow meter, the type of numerical integration method, the internal diameter of the pipeline and degree (k) of weight function of Jacobi polynomial (if the Gauss-Jacobi numerical integration method was chosen). At the same time, the calculation is based on both table data (from mathematical directories) and on the analytical dependencies developed by the authors x = f(k) and w = f(k). The presence of such calculator software will simplify the work of developers, designers, scientists, and students who theoretically investigate the future influence of the geometric characteristics of ultrasonic flow meters on their metrological accuracy in various conditions of their operation.

Publisher

Lviv Polytechnic National University

Subject

General Medicine

Reference14 articles.

1. 1. 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.

2. 2. Roman, V.I., and Matiko, F.D. (2014). Definition of weighting coefficients of acoustic channels for ultrasonic flowmeters. Metrology and devices, 3(47), 11-20. (in Ukrainian)

3. 3. 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 VI International Conference on IGHEM, Portland Oregon, USA. https://www.ighem.org/Paper2006/d6.pdf

4. 4. Abramovitz, M., and Stegum, I. (1964). Handbook of mathematical function. New York, NY: NBS.

5. 5. Moore, P.I., Brown, G.J., and Simpson, B.P. (2000). Ultrasonic transit- time flowmeters modeled with theoretical velocity profiles: methodology. Meas. Sci. Technol, 11, 1802-1811. https://iopscience.iop.org/article/10.1088/0957-0233/11/12/321

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