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Research Articles

Stability Tests and Analysis of a Low-Pressure Natural Circulation Loop with Flashing Instability

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Pages 1414-1441 | Received 27 Jun 2022, Accepted 18 Nov 2022, Published online: 06 Feb 2023

References

  • “Long-Term Solutions and Upgrade of Interim Operating Recommendations for Thermal-Hydraulic Instabilities in Boiling Water Reactors,” Generic Lett., 94–02, U.S. Nuclear Regulatory Commission (1994).
  • S. SHI, T. HIBIKI, and M. ISHII, “Startup Instability in Natural Circulation Driven Nuclear Reactors,” Prog. Nucl. Energy, 90, 140 (2016); https://doi.org/10.1016/j.pnucene.2016.03.016.
  • A. K. NAYAK and P. K. VIJAYAN, “Flow Instabilities in Boiling Two-Phase Natural Circulation Systems: A Review,” Sci. Technol. Nucl. Install., 2008, 573192 (2008); https://doi.org/10.1155/2008/573192.
  • T. H. J. J. VAN DER HAGEN, A. J. C. STEKELENBURG, and D. D. B. VAN BRAGT, “Reactor Experiments on Type-I and Type-II BWR Stability,” Nucl. Eng. Des., 200, 177, (2000); https://doi.org/10.1016/S0029-5493(99)00337-4.
  • J. BOURE, A. BERGLES, and L. TONG, “Review of Two-Phase Flow Instability,” Nucl. Eng. Des., 25, 2, 165 (1973); https://doi.org/10.1016/0029-5493(73)90043-5.
  • M. FURUYA, F. INADA, and A. YASUO, “Density Wave Oscillations of a Boiling Natural Circulation Loop Induced by Flashing,” Proc. 7th Int. Topl. Mtg. Nuclear Reactor Thermal-Hydraulics (NURETH-7), Saratoga Springs, New York, September 10–15, 1995.
  • A. MANERA and T. H. J. J. VAN DER HAGEN, “Stability of Natural-Circulation-Cooled Boiling Water Reactors During Startup: Experimental Results,” Nucl. Technol., 143, 1, 77 (2003); https://doi.org/10.13182/NT03-A3399.
  • C. P. MARCEL, M. ROHDE, and T. H. J. J. VAN DER HAGEN, “Experimental and Numerical Investigations on Flashing-Induced Instabilities in a Single Channel,” Exp. Therm. Fluid Sci., 33, 8, 1197 (2009); https://doi.org/10.1016/j.expthermflusci.2009.08.001.
  • S. SHI et al., “Experimental Stability Maps for a BWR-Type Small Modular Reactor,” Proc. 16th Int. Topl. Mtg. Nuclear Reactor Thermal Hydraulics (NURETH-16), Chicago, Illinois, August 30–September 4, 2015, American Nuclear Society (2015).
  • T. ZHANG et al., “A Multi-Dimensional Dataset for Two-Phase Instability in Low Pressure Natural Circulation Based on Direct Transient Local Measurement,” Int. J. Heat Mass Transfer, 151, 119447 (2020); https://doi.org/10.1016/j.ijheatmasstransfer.2020.119447.
  • M. FURUYA, F. INADA, and T. H. J. J. VAN DER HAGEN, “Flashing-Induced Density Wave Oscillations in a Natural Circulation BWR—Mechanism of Instability and Stability Map,” Nucl. Eng. Des., 235, 15, 1557 (2005); https://doi.org/10.1016/j.nucengdes.2005.01.006.
  • S. SHI et al., “Assessment of RELAP5/MOD3.2 for Startup Transients in a Natural Circulation Test Facility,” Ann. Nucl. Energy, 112, 257 (2018); https://doi.org/10.1016/j.anucene.2017.10.012.
  • A. MANERA et al., “Modeling of Flashing-Induced Instabilities in the Start-Up Phase of Natural-Circulation BWRs Using the Two-Phase Flow Code FLOCAL,” Nucl. Eng. Des., 235, 14, 1517 (2005); https://doi.org/10.1016/j.nucengdes.2005.01.008.
  • P. GLENDINNING, Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations, Cambridge University Press (1994).
  • T. ZHANG and C. S. BROOKS, “Linear Stability Analysis of Flashing Instability Based on the Homogeneous Equilibrium Model,” Nucl. Eng. Des., 373, 110994 (2021); https://doi.org/10.1016/j.nucengdes.2020.110994.
  • B. PORTER, Stability Criteria for Linear Dynamical Systems, Academic Press, New York (1968).
  • M. ISHII, “One-Dimensional Drift-Flux Model and Constitutive Equations for Relative Motion Between Phases in Various Two-Phase Flow Regimes,” ANL-77-47, Argonne National Laboratory (1977).
  • M. ISHII, “Thermally Induced Flow Instabilities in Two-Phase Mixtures in Thermal Equilibrium,” Doctoral Dissertation, Georgia Institute of Technology (1971).
  • J. L. ACHARD, D. A. DREW, and R. T. LAHEY, “The Analysis of Linear and Nonlinear Instability Phenomena in Heated Channels,” NUREG/CR-1718, U.S. Nuclear Regulatory Commission (1980).
  • R. UDDIN and J. J. DORNING, “Some Nonlinear Dynamics of a Heated Channel,” Nucl. Eng. Des., 93, 1, 1 (1986); https://doi.org/10.1016/0029-5493(86)90190-1.
  • F. INADA, M. FURUYA, and A. YASUO, “Thermo-Hydraulic Instability of Boiling Natural Circulation Loop Induced by Flashing (Analytical Consideration),” Nucl. Eng. Des., 200, 1–2, 187 (2000); https://doi.org/10.1016/S0029-5493(99)00334-9.
  • H. SCHLICHTING and K. GERSTEN, Boundary-Layer Theory, Springer (2016).
  • S. W. CHURCHILL, “Friction-Factor Equation Spans All Fluid-Flow Regimes,” Chem. Eng. J., 84 (1977).
  • I. E. IDEL’CHIK, “Stream Flow Through Straight Pipes and Channels,” Handbook of Hydraulic Resistance, Sec. 2, pp. 66–67, Hemisphere Publishing Corporation, Washington, D.C. (1986).
  • G. B. WALLIS and J. H. HEASLEY, “Oscillations in Two-Phase Flow Systems,” J. Heat Transfer, 83, 3, 363 (1961); https://doi.org/10.1115/1.3682286.
  • “TRACE V5. 0 Theory Manual: Field Equations, Solution Methods and Physical Models,” U.S. Nuclear Regulatory Commission (2006).
  • R. T. LAHEY and F. J. MOODY, The Thermal-Hydraulics of a Boiling Water Nuclear Reactor, American Nuclear Society, La Grange Park, Illinois (1993).
  • D. CHISHOLM, “Two-Phase Flow in Bends,” Int. J. Multiphase Flow, 6, 4, 363 (1980); https://doi.org/10.1016/0301-9322(80)90028-2.
  • S. RASSAME and T. HIBIKI, “Drift-Flux Correlation for Gas-Liquid Two-Phase Flow in a Horizontal Pipe,” Int. J. Heat Fluid Flow, 69, 33 (2018); https://doi.org/10.1016/j.ijheatfluidflow.2017.11.002.
  • I. E. IDEL’CHIK, “Variation of the Stream Direction,” Handbook of Hydraulic Resistance, Sec. 6, pp. 206–213, Hemisphere Publishing Corporation, Washington, D.C. (1986).
  • D. F. DAVIDENKO, “On the Approximate Solution of Systems of Non-Linear Equations,” Ukrain. Mat. Zh., 5, 2 (1953).
  • H. A. HEJASE, “On the Use of Davidenko’s Method in Complex Root Search,” IEEE Trans. Microwave Theory Tech., 41, 1, 141 (1993); https://doi.org/10.1109/22.210241.

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