journal article·2024-12-01Open access

Nonlinear phenomena of a supercritical water heated channel natural circulation loop

Jin Der Lee, Shao Wen Chen

AIP Advances· Volume 14· Issue 12

Abstract

The passive feature of a supercritical natural circulation loop (NCL) has promising applications in various fields. The nonlinear natures of a NCL using supercritical water are explored by a dimensionless dynamic model developed in this study, particularly regarding the occurrence of instability. The results demonstrate that the outlet flow resistance of the heated channel will significantly influence the stability and nonlinear behaviors of this supercritical water NCL. Complex nonlinear phenomena would take place in the system while the heated channel is subject to a relatively large outlet flow resistance. A route toward chaotic oscillation can be evolved from periodic oscillations by means of period-doubling bifurcations. The examinations by fast Fourier transform analysis and sensitivity to initial conditions further confirm the existence of chaotic oscillation. The bifurcation phenomena can be inspected by the variations in the fundamental dimensionless frequencies of periodic oscillations. In addition, the indication of period three point implies that innumerable periodic and chaotic kinds of nonlinear oscillations can prevail in the unstable area of this supercritical water NCL under some specific operating conditions.
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Research context

OpenAlex topics: Heat transfer and supercritical fluids · Subcritical and Supercritical Water Processes · Heat Transfer and Boiling Studies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Nuclear Science and Technology Development Center, National Tsing Hua University 1 , 101, Sec. 2, Kuangfu Rd., Hsinchu 30013,

Department of Engineering and System Science and Institute of Nuclear Engineering and Science, National Tsing Hua University 2 , 101, Sec. 2, Kuangfu Rd., Hsinchu 30013,

Funding

National Science and Technology Council

References (21)

Show source-provided references
1. Some nonlinear dynamics of a heated channel10.1016/0029-5493(86)90190-1 ↗
2. Analysis of sub- and supercritical Hopf bifurcation with a reduced order model in natural circulation loop10.1016/j.ijheatmasstransfer.2014.05.033 ↗
3. Nonlinear dynamics and stability of boiling water reactors: Part 1—Qualitative analysis10.13182/nse86-a17663 ↗
4. Dynamic analysis of multiple nuclear-coupled boiling channels based on a multi-point reactor model10.1016/j.nucengdes.2005.05.031 ↗
5. Periodic and chaotic oscillations in the nuclear-coupled boiling channel system subject to strong void-reactivity feedbacks10.1016/j.anucene.2009.01.016 ↗
6. The influence of void-reactivity feedback on the bifurcation phenomena and nonlinear characteristics of a single nuclear-coupled boiling channel10.1016/j.anucene.2016.04.044 ↗
7. Nonlinear analysis for a nuclear-coupled two-phase natural circulation loop10.1016/j.nucengdes.2004.09.008 ↗
8. Dimensionless parameters in stability analysis of heated channels with fluids at supercritical pressures10.1016/j.nucengdes.2007.09.008 ↗
9. Stability analysis of a uniformly heated channel with supercritical water10.1016/j.nucengdes.2007.10.031 ↗
10. Sensitivity analysis of numerically determined linear stability boundaries of a supercritical heated channel10.1016/j.nucengdes.2011.07.005 ↗
11. Parametric effects on coupled neutronic-thermohydraulic stability characteristics of supercritical water cooled reactor10.1016/j.anucene.2017.10.008 ↗
12. Experimental study on flow instability in parallel channels with supercritical water10.1016/j.anucene.2012.05.018 ↗
13. Developing a CFD methodology for the analysis of flow stability in heated channels with fluids at supercritical pressures10.1016/j.anucene.2012.11.002 ↗
14. A new model for studying the density wave instabilities of supercritical water flows in tubes10.1016/j.applthermaleng.2014.09.029 ↗
15. The dynamic analysis of a uniformly heated channel at a supercritical pressure using a simple nonlinear model10.1016/j.anucene.2018.11.004 ↗
16. Nonlinear dynamic analysis of parallel three uniformly heated channels with water at supercritical pressures10.1016/j.ijheatmasstransfer.2018.10.006 ↗
17. Hot-channel stability of supercritical water-cooled reactors—I: Steady-state and sliding pressure startup10.13182/nt07-a3833 ↗
18. NIST standard reference database 23: Reference fluid thermodynamic and transport properties, version 9.0
19. 1989
20. Coexistence of cycles of a continuous mapping of the line into itself10.1142/S0218127495000934 ↗
21. Period three implies chaos10.1080/00029890.1975.11994008 ↗