Method and Program to Calculate the Speed of Sound in Water under the Conditions of Natural Convection along the Surface of Fuel Assemblies of Nuclear Reactors
https://doi.org/10.1134/S2304487X19050080
Abstract
The principle of the ultrasonic method for determining fuel assemblies forming in cooling pond of nuclear power plants is considered. It is shown that natural convection caused by residual heat generation affects the increase in the measurement error of the ultrasonic method. A method is proposed for calculating the convective heat transfer with the boundary condition of the second kind. The developed method has been tested by performing calculations under the conditions of experiments in which temperature change in water inside a free convective laminar and turbulent thermal boundary layer has been studied. Analysis of experimental and calculated data shows that the method used adequately describes natural-convection heat transfer. Using this method, an algorithm and a program are developed for calculating the speed of sound in water in a laminar and turbulent boundary layer near the surface of a vertical heated plate, simulating in the first approximation the heated surface of a WWER-1000 FA. The developed program also computes the parameters of the boundary layer, heating temperature, and temperature profile along the acoustic axis of the ultrasonic sensor. The program can be used to approximately estimate the influence of convection on measurement results and to verify CFD codes as applied to the calculation of the parameters of natural convection at the surface of the WWER-1000 FA, taking into account the decay heat.
About the Authors
A. V. Voronina
Dimitrovgrad Engineering and Technological Institute,
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
433510
Ulyanovsk oblast
Dimitrovgrad
S. V. Pavlov
Dimitrovgrad Engineering and Technological Institute,
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
433510
Ulyanovsk oblast
Dimitrovgrad
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Review
For citations:
Voronina A.V., Pavlov S.V. Method and Program to Calculate the Speed of Sound in Water under the Conditions of Natural Convection along the Surface of Fuel Assemblies of Nuclear Reactors. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2019;8(5):465-472. (In Russ.) https://doi.org/10.1134/S2304487X19050080
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