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Stability analysis of passive cooling systems for nuclear spent fuel pool

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Abstract

Passive cooling systems (PCSs) are engineering solutions to perform the function of heat transfer using the temperature difference between hot and cold sources to generate the driving force. These systems have increasing importance to nuclear power industry and are object of many studies since 1960s. One of the main concerns in PCSs is thermal-hydraulic stability. This work presents the results of a linear and a non-linear stability analysis of a single-phase natural circulation loop coupled to a nuclear spent fuel pool. The effect of the pool on the stability of the system is studied by linear and non-linear models. Results show that stability natural cooling loops are modified by the coupling with the pool. Moreover, the amount of water in the pool is non-monotonically related to the stability of the system.

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Notes

  1. The mean deviation is defined as the sum of the relative deviations point-to-point, which were computed as absolute difference between experiment \(\text{Re}_{exp}\) and model \(\text{Re}_{mod}\), divided by the experimental value, i.e., \(\text {mean deviation}=\mid \text{Re}_{exp}-\text{Re}_{mod}\mid /\text{Re}_{exp}\).

References

  1. Ambrosini W, Ferreri JC (2003) Prediction of stability of one-dimensional natural circulation with a low diffusion numerical scheme. Ann Nucl Energy 30:1505–1537

    Article  Google Scholar 

  2. Ambrosini W, Forgione N, Ferreri JC, Bucci M (2004) The effect of wall friction in single-phase natural circulation stability at the transition between laminar and turbulent flow. Ann of Nucl Energy 31:1833–1865

    Article  Google Scholar 

  3. Angelo G, Andrade DA, Angelo E, Torres WM, Sabundjian G, Macedo LA, Silva AF (2012) A numerical and three-dimensional analysis of steady state rectangular natural circulation loop. Nuc Eng Des 244:61–72

    Article  Google Scholar 

  4. Basu DN, Bhattacharyya S, Das PK (2013a) Development of a unified model for the steady-state operation of single-phase natural circulation loops. Int J Heat Mass Transf 62:452–462

    Article  Google Scholar 

  5. Basu DN, Bhattacharyya S, Das PK (2014) A review of modern advances in analyses and applications of single-phase natural circulation loop in nuclear thermal hydraulics. Nucl Eng Des 280:326–348

    Article  Google Scholar 

  6. Basu DN, Bhattacharyya S, Das PK (2013b) Dynamic response of a single-phase rectangular natural circulation loop to different excitations of input power. Int J Heat Mass Transf 65:131–142

    Article  Google Scholar 

  7. Basu DN, Bhattacharyya S, Das PK (2013c) Influence of geometry and operating paramenters on the stability response of single-phase natural circulation loop. Int J Heat Mass Transf 58:322–334

    Article  Google Scholar 

  8. Boure JA, Bergles AE, Tong LS (1973) Review of two-phase flow instability. Nucl Eng Des 25:165–192

    Article  Google Scholar 

  9. Creveling HF, De Paz JF, Baladi JY, Schoenhals RJ (1975) Stability characteristics of a single-phase free convection loop. J Fluid Mech 67:65–84

    Article  MATH  Google Scholar 

  10. Keller Joseph B (1966) Periodic oscillations in a model of thermal convection. J Fluid Mech 26:599–606

    Article  MathSciNet  Google Scholar 

  11. Lavine AS, Greif R, Humphrey JAC (1987) A three-dimensional analysis of natural convection in a toroidal loop–the effect of Grashof number. Int J Heat Mass Transf 30:251–262

    Article  Google Scholar 

  12. Nayak AK, Vijayan PK, Saha D, Venkat Raj V (1995) Mathematical modeling of the stability characteristics of a natural circulation loop. Math Comput Model 22:77–87

    Article  MATH  Google Scholar 

  13. Pilkhwal DS, Ambrosini W, Forgione N, Vijayan PK, Saha D, Ferreri JC (2007) Analysis of the unstable behaviour of a single-phase natural circulation loop with one-dimensional and computational fluid-dynamic models. Ann Nucl Energy 34:339–355

    Article  Google Scholar 

  14. Prasad GVD, Pandey M, Kalra MS (2007) Review of research on flow instabilities in natural circulation boiling systems. Prog Nucl Energy 49:429–451

    Article  Google Scholar 

  15. Sabundjian G, Andrade DA, Umbehaun PE, Torres WM, Macedo LA, Conti TN, Mesquita RN, Angelo G (2011) Comparison between experimental data and numerical modeling for the natural circulation phenomenon. J Braz Soc Mech Sci Eng 33:227–232

    Article  Google Scholar 

  16. Sen M, Ramos E, Trevino C (1985) On the steady-state velocity of the inclined toroidal thermosyphon. J Heat Transf 107:974–977

    Article  Google Scholar 

  17. Vijayan PK, Austregesilo H (1994) Scaling laws for single-phase natural circulation loops. Nucl Eng Des 152:331–347

    Article  Google Scholar 

  18. Vijayan PK, AK Nayak (2005) Introduction to instabilities in natural circulation systems. IAEA-TECDOC-1474, p 173–201 (Annex 7)

  19. Vijayan PK, Sharma M, Saha D (2007) Steady state and stability characteristics of single-phase natural circulation in a rectangular loop with different heater and cooler orientations. Exp Therm Fluid Sci 31:925–945

    Article  Google Scholar 

  20. Vijayan PK, Nayak AK, Saha D, Gartia MR (2008) Effect of loop diameter on the steady state and stability behaviour of single-phase and two-phase natural circulation loops. Sci Technol Nucl Install, from Hindawui Publishing Corporation (page Article 672704)

  21. Wacholder E, Kaizerman S, Elias E (1982) Numerical analysis of the stability and transient behavior of natural convection loops. Int J Eng Sci 20:1235–1254

    Article  MATH  Google Scholar 

  22. Welander P (1967) On the oscillatory instability of a differentially heated fluid loop. J Fluid Mech 29:17–30

    Article  MATH  Google Scholar 

  23. Zvirin Y (1985) The instability associated with the onset of motion in a thermosyphon. Int J Heat Mass Transf 28:2105–2111

    Article  Google Scholar 

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Correspondence to Leon Lima.

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Technical Editor: Francis HR Franca.

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Lima, L., Mangiavacchi, N. & Ferrari, L. Stability analysis of passive cooling systems for nuclear spent fuel pool. J Braz. Soc. Mech. Sci. Eng. 39, 1019–1031 (2017). https://doi.org/10.1007/s40430-016-0589-4

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  • DOI: https://doi.org/10.1007/s40430-016-0589-4

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