Abstract
This study investigates the flow field distribution near the transducer and quantifies the distortion of the velocity profile along ultrasonic paths. It elucidates the physical mechanisms through which flow separation—induced by the mainstream flow around the transducer—affects ultrasonic flowmeter measurements. Experimental analyses examine the influence of localized flow field distortion under various pressures and flow rates, leading to the development of an error correction model consistent with empirical data. Numerical simulations are performed for three transducer installation modes: fully projecting, fully recessed, and tangent, revealing the distinct physical mechanisms associated with each configuration. Measurement errors are consistently negative due to the effects of backflow and lateral flow. Error ranges are − 1.86% to -1.15% for fully projecting, -4.09% to -2.26% for tangent, and − 10.57% to -9.66% for fully recessed installations, indicating that the fully recessed mode introduces the most significant flow disturbance. Flow velocity correction models are proposed for each installation type. After modification, errors are largely confined within ± 1.0% for both fully projecting and fully recessed transducers. The effect of local flow distortion on tangent-type ultrasonic flowmeters is further examined through experiments under varying pressures and flow velocities. By applying a secondary correction model based on Reynolds number, measurement accuracy can achieve the ± 0.5% standard.
Data availability
The data supporting the findings of this study are available upon request from the corresponding author.
References
American Gas Association. Measurement of gas by multipath ultrasonic meters[S]. (1998).
Voser, A. & Staubli, T. CFD-Calculations of the protrusion effect and impact on the acoustic discharge measurement accuracy[C]. in Proceedings. (1996).
Drenthen, J. G. & de Boer, G. The manufacturing of ultrasonic gas flow meters[J]. Flow Meas. Instrum. 12 (2), 89–99 (2001).
Zhao, N. et al. A method combining measurement tool and numerical simulation for calculating acoustic signals of ultrasonic flowmeter[J]. IEEE Sens. J. 19 (24), 11805–11813 (2019).
Zhao, H. et al. CFD Aided Investigation of Multipath Ultrasonic Gas Flow Meter Performance Under Complex Flow Profile[J]. IEEE Sens. J. 14 (3), 897–907 (2014).
International Electrotechnical Commission. Field Acceptance Tests to Determine the Hydraulic Performance of Hydraulic Turbines, Storage Pumps and Pump-turbines[M]. (1991).
Zheng, D., Zhang, P. & Xu, T. Study of acoustic transducer protrusion and recess effects on ultrasonic flowmeter measurement by numerical simulation[J]. Flow Meas. Instrum. 22 (5), 488–493 (2011).
Wang, B., Cui, Y., Liu, W. & Luo, X. Study of Transducer Installation Effects on Ultrasonic Flow Metering Using Computational Fluid Dynamics[J]. Adv. Mater. Res. 629, 676–681 (2013).
Lowell, F., Schafer, S. & Walsh, J. Acoustic flowmeters in circular pipes: Acoustic transducer and conduit protrusion effects in discharge measurement[J]. Int. Group. Hydraulic Effi. Meas. 98, 1–12. http://www.ighem.org/Paper1998/IQHEM1998_05.pdf (1998).
Renaldas, R. Investigation of the flow velocity profile in a metering section of an invasive ultrasonic flowmeter[J]. Flow Meas. Instrum. 17 (4), 201–206 (2006).
Roman, V., Matiko, F. & Kostyk, I. Investigation of Turbulence Parameters Influence on Results of CFD Modeling of Flow in Ultrasonic Flowmeter[J]. Energy Eng. Control Syst. 7 (1), 73–78 (2021).
Wiranata, L. F. & Kurniadi, D. The development of simultaneous transducer ultrasonic with dual-transducer to measure flow velocity in the pipe[J]. EUREKA: Phys. Eng. 2023(4), 77–86 (2023).
Arnould, P. An investigation into the performance and diagnostics from different chordal integration schemes in asymmetric flow[J]. Flow Meas. Instrum. 72, 101644 (2020).
Guo, S. et al. Integration method of multipath ultrasonic flowmeter based on velocity distribution[J]. Measurement 207, 112388 (2023).
Roman, V., Matiko, H., Kostyk, I. & Pistun, O. Mathematical model of multipath ultrasonic flowmeter for its automated designing[C]. In 2021 Selected Issues of Electrical Engineering and Electronics (WZEE) 1–6 (IEEE, 2021).
Pannell, C., Evans, W. & Jackson, D. A new integration technique for flowmeters with chordal paths[J]. Flow Meas. Instrum. 1 (4), 216–224 (1990).
Zhang, L., Meng, T., Wang, C., Hu, H. & Qin, C. Probe installation effects on the accuracy of feed thru ultrasonic flowmeters[J]. Chin. J. Sci. Instrument. 33 (10), 2307–2314 (2012).
Liu, D., Cai, Q. & Hu, H. Laboratory Test and Optimization of Ultrasonic Flow Measurement Device[J]. Acta Metrologica Sinica. 42 (10), 1282–1287 (2021).
Wang, C., Li, C., Xu, M. & Yan, W. The high pressure close loop gas flow standard facility in NIM[C]. in Proceedings of the Flomeko. (2019).
Yu, X. & Xu, K. Calculation and judgment of repeatability error affected by non-linearity correction based on flowmeter characteristic analysis[J]. Measurement 196, 111251 (2022).
Funding
The work was supported by the Xinjiang Talent Development Fund (Grant No.: XJRC-2025-GX-PY-GCS-002), as well as the Natural Science Foundation of Xinjiang Uygur Autonomous Region (Grant No.: 2025D01A81) and the Science and Technology Program of Xinjiang Institute of Measurement and Testing Technology (Grant No.: XJL2024KY006).
Author information
Authors and Affiliations
Contributions
Wenlin Chen: Investigation, Supervision, Methodology, Writing - original draft & editing. Cunxin Yao: Writing & editing. Duoyong Wang: Conceptualization. Jun Mu: Methodology, Writing - review & editing. Chao Xu and Defu Xu: Data curation.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
About this article
Cite this article
Chen, W., Yao, C., Wang, D. et al. Numerical and experimental analysis of flow distortion induced by ultrasonic transducers in gas flowmeters. Sci Rep (2026). https://doi.org/10.1038/s41598-026-46908-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41598-026-46908-w