Mathematical Model of an Acoustic Tract of an Echo-Pulse Method for Measurement of the Geometric Parameters of a Fuel Assembly of a Nuclear Reactor in the Geometric Acoustics Approximation
https://doi.org/10.56304/S2304487X20030104
Abstract
The principle of determining the sizes during inspection of irradiated fuel assemblies by the ultrasonic echo-pulse method is considered. The factors caused by the presence of residual heat release in the fuel assemblies that affect the propagation path of ultrasound in the medium are presented. In the geometric acoustics approximation, a mathematical model of the acoustic path is developed. The medium in which ultrasound propagates is considered in the approximation of a plane–parallel layered fluid medium with a monotonic variation of the temperature and density of water from layer to layer. It is assumed that the water temperature between the sensors and the surface of the fuel assembly is determined by convective heat transfer between the fuel assembly and the water in the pool of a nuclear power plant. The model takes into account the instability of the speed of sound and the refraction of ultrasonic waves during the oblique incidence of waves on the surface. The proposed model allows the study of the acoustic tract with the ultrasonic echo-pulse method. This model can be used to develop forming control systems for a VVER-1000 fuel assembly.
About the Authors
A. V. Voronina
Dimitrovgrad Engineering and Technological Institute, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
433507
Dimitrovgrad
S. V. Pavlov
Dimitrovgrad Engineering and Technological Institute, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
433507
Dimitrovgrad
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For citations:
Voronina A.V., Pavlov S.V. Mathematical Model of an Acoustic Tract of an Echo-Pulse Method for Measurement of the Geometric Parameters of a Fuel Assembly of a Nuclear Reactor in the Geometric Acoustics Approximation. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2020;9(3):217-225. (In Russ.) https://doi.org/10.56304/S2304487X20030104
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