Two-phase flow-induced instability and nonlinear dynamics of a rotated triangular tube array in parallel direction

A mathematical model for a rotated triangular tube array with 7 rigid-body degrees of freedom subject to two-phase flow and loose support was presented to study the two-phase flow-induced instability and nonlinear dynamics in the parallel direction. To verify the correctness of this model, an experi...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2020-09, Vol.83, p.104024, Article 104024
Main Authors: Lai, Jiang, Sun, Lei, Gao, Lixia, Tan, Tiancai, Li, Pengzhou
Format: Article
Language:English
Subjects:
Arrays
Bifurcation
Bundles
Bundling
Chaotic
Dynamic stability
Flow stability
Hopf bifurcation
Mathematical models
Nonlinear dynamics
Stiffness
Tube array
Two phase flow
Void fraction
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Summary:A mathematical model for a rotated triangular tube array with 7 rigid-body degrees of freedom subject to two-phase flow and loose support was presented to study the two-phase flow-induced instability and nonlinear dynamics in the parallel direction. To verify the correctness of this model, an experiment was carried out to obtain the Hopf bifurcation velocities of fluidelastic instability of a rotated triangular tube array with the pitch-to-diameter ratio is 1.48 for five void fraction conditions. Then, considering the effects of the impact stiffness forces between the tube bundles and the tube support plates, the Hopf bifurcation and the nonlinear dynamics of a rotated triangular tube array within 0%, 20%, 40%, 60%, and 80% void fraction conditions were calculated. The numerical results show that when the flow pitch velocity increases beyond the Hopf bifurcation velocity, the periodic motion occurs. At a sufficiently high flow pitch velocity, some complex motions of the tube bundles such as the multi-frequency motion, the chaotic motion may occur. And, the effects of the void fraction on the bifurcation characteristic of the tube bundles were also investigated. •A model of tube bundles considering the effect of two-phase flow and loose support was presented.•The effect of void fraction on bifurcation characteristic of tube bundles was investigated.•Nonlinear dynamic of tubes subjected to two-phase flow in parallel direction was discussed.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2020.104024