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Vol. 231, Issue 3, March 2019, pp. 1-9




Improvement of Accuracy in Multi-path Ultrasonic Flow Meters


The faculty of information and communication technology (ICT Faculty), The Ministry of Communications and Information Technology,
Danesh Blv, Jenah Ave, Azadi Sqr, Postal code: 1391637111, Tehran, Iran
E-mail: orvatinia@ictfaculty.ir


Received: 14 January 2019 /Accepted: 15 March 2019 /Published: 31 March 2019

Digital Sensors and Sensor Sysstems


Abstract: A four-path ultrasonic flow meter was fabricated by mounting of ultrasonic transducers around a pipe. The fluid velocity measurement was carried out by using time difference method. The results were used to estimate the flow rate by Gauss- Legendre (G-L) and Chebyshev-Gauss (Ch-G) quadrature rules. The flow rate was also estimated by the equivalent single-path flow meter. The estimation results were compared with the reference measurements at the velocities from 0.1 m/s to 1.01 m/s. The result indicated that reducing the fluid velocity causes the measurement accuracy to decrease. This phenomenon is attributed to the absolute error of measurement devices. At the velocities below 0.4 m/s the error becomes very significant. At the high velocities, the estimation error of G-L method was about 3 %. On the other hand, the relative error of Ch-G method was 2 % in same flow rate. The relative error of the equivalent single-path meter was 50 % higher than that of four-path one in all flow rates. By extrapolating of the results, the relative error of Ch-G method in velocity beyond 2.0 m/s expected to be about 0.3 %.


Keywords: Ultrasonic flow meter, Multi-path flow meter, Gaussian quadrature, Chebyshev-Gauss, Gauss-Legendre, Relative error.


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