In the one-loop pipeline of a nuclear reactor, when measuring fluid flow velocity using ultrasonic transducers based on the time-of-flight method, the acoustic wave trajectory shift leads to a time lag in the receiver’s response to the acoustic pressure signal, introducing errors in fluid velocity measurements. To enhance measurement precision, this paper integrates information on the flow and temperature fields within the one-loop pipeline, analyzing the impact of three-field coupling on ultrasonic characteristics. The acoustic field within the pipeline is simulated and modeled, and the mathematical model of the Gaussian beam method is further refined to accurately analyze the propagation trajectory of ultrasonic sound lines and the distribution of acoustic pressure in the pipeline. Finally, the applicability of the established Gaussian beam method is validated by comparing finite element method simulations with mathematical model calculations. Additionally, a comparison is made between the results of the Gaussian beam method before and after improvement when applied to flow measurements on the first loop pipe of “Hualong-1” The findings indicate a reduction of approximately 20 % in the calculation error of ray trajectory offset, about 1 % in the calculation error of flow measurements, and the error in the sound pressure calculation at the transducer axis is within 5%, and the error in the sound pressure calculation at the receiver transducer is reduced by 2 %.
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