Improved numerical integration method for flowrate of ultrasonic flowmeter based on Gauss quadrature for non-ideal flow fields |
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| Affiliation: | 1. Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering & Automation, Tianjin University, Tianjin 300072, China;2. Aeronautical Automation College, Civil Aviation University of China, Tianjin 300300, China;1. Chair of Measurement and Sensor System Techniques, Faculty of Electrical and Computer Engineering, Technische Universität Dresden, 01062 Dresden, Germany;2. SolarWorld Innovations GmbH, Berthelsdorfer Str. 111A, 09599 Freiberg, Germany;3. Institute for Nonferrous Metallurgy and Purest Materials, TU Bergakademie Freiberg, Leipziger Str. 34, 09599 Freiberg, Germany;1. Advance Industrial Science and Technology, National Metrology Institute of Japan, Central 3, 1-1-1, Umezono, Tsukuba, Ibaraki 305-8563, Japan;1. College of Quality and Technical Supervision, Hebei University, Baoding, 071002, China;2. National &Local Joint Engineering Research Center of Metrology Instrument and System, Hebei University, Baoding, 071002, China;3. Hebei Key Laboratory of Energy Metering and Safety Testing Technology, Hebei University, Baoding, 071002, China;4. University of Chester, Faculty of Science and Engineering, Department of Chemical Engineering, Chester, CH2 4NU, UK |
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| Abstract: | Multipath ultrasonic flowmeters with large diameter are widely used in industry. And their measurement performances are sensitive to velocity profiles in conduits. Gauss–Jacobi and Optimized Weighted Integration for Circular Sections (OWICS) method are commonly applied in flow measurement of multipath ultrasonic flowmeters, both of which assume ideal flow in pipes. They are not proper for non-ideal flow measurement. Therefore, an improved numerical integration method for flowrate based on Gauss quadrature is proposed. With this method, optimum relative path heights and corresponding weights are determined according to specific disturbed flows. By comparison Gauss–Jacobi, OWICS with the improved method, the validity of the proposed method is verified for typical disturbed flows based on both theoretical analysis and experiments, and measurement performances of ultrasonic flowmeters are improved significantly. |
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| Keywords: | Multipath ultrasonic flowmeter Numerical integration method for flowrate Gauss–Jacobi method Optimized Weighted Integration for Circular Sections method Non-ideal flow field |
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