Theoretical investigation of fluidelastic instability of a rotated triangular tube array in two-phase flow
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REVIEW
Jiang Lai · Lei Sun · Lixia Gao · Pengzhou Li · Tiancai Tan
Theoretical investigation of fluidelastic instability of a rotated triangular tube array in two-phase flow
Received: 23 August 2019 / Accepted: 23 June 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Fluidelastic instability of a tube array is extremely important to the security of a nuclear power plant. Lots of experimental analyses were conducted on the fluidelastic instability of a tube array subjected to two-phase flow in the transverse direction. Streamwise fluid-elastic instability of a tube array has been ignored for a long time until recently observations of streamwise tube failure in a steam generator in the USA. However, there are a few theoretical analysis to calculate the critical velocity. Therefore, the streamwise fluidelastic instability of a rotated triangular tube array was studied in this paper. A mathematical model of a tube array with seven tubes was established. A program based on the model was written, and an experiment was conducted to verify the program. The numerical results were in good agreement with the experimental data. The critical velocity of streamwise fluidelastic instability considering the two-phase flow was determined by the eigenvalue analysis. The numerical results illustrate that void fraction has an obvious effect on the critical velocity and the instability mode of the streamwise fluidelastic instability of a tube array. The influences of tube natural frequency were also investigated within void fraction range from 0 to 80%. The results indicate that void fraction and tube natural frequency are the key factors in streamwise fluidelastic instability. Keywords Fluidelastic instability · Tube array · Two-phase flow · Instability mode · Tube natural frequency
1 Introduction Fluidelastic instability of tube bundles in two-phase flow is extremely important to the security of a steam generator. There have been many significant studies on the fluidelastic instability of a tube array considering the effects of two-phase flow. A theoretical model was presented to predict the onset of the fluidelastic instability of a full tube array by Lever and Weaver. And, a series of experiments were performed to verify the correctness of this model [1]. Based on a rotated triangular tube array model, the experiment was conducted to study the flow-induced vibration of tube bundles subjected to Freon vapor–liquid flow at the Chalk River Laboratories [2]. An experimental and numerical analysis was presented by Nakamura et al. The measurements for twophase fluid damping, added mass, and the unsteady fluid forces were conducted [3,4]. Using the experimental results, the stability boundary was calculated [5]. An experiment was carried out to obtain the dynamic lift and drag forces of a rotated triangular tube array subjected to air–water flow by Pettigrew [6]. Mureithi et al. [7] carried out several experiments to study the fluidelastic instability of an array subject to two-phase flow in the flow directi
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