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Does the Criteria of Instability Thresholds During Density Wave Oscillations Need to Be Redefined?

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Proceedings of the 7th International Conference on Advances in Energy Research

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Abstract

Two-phase flow instabilities and in particular density wave oscillations (DWOs) are unwanted in boiling, condensation, and other flow boiling systems as it can cause severe deterioration in the performance or even damage the system. For decades, efforts have been focused on designing equipment or processes that operate far from the conditions where the two-phase flow instabilities are present. And hence multiple studies in particular experiments were carried out to identify the characteristics of the instability thresholds during the DWOs. In this work, we show that the conventional approach of identifying the instability thresholds does not hold good to determine the global stability behavior of the system. This includes identifications of the limit cycle oscillations and the Hopf bifurcation across the instability thresholds. And hence, this study postulates the need for redefining the criteria and the approach to identify the instability thresholds experimentally.

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References

  1. Boure, J., Bergles, A., Tong, L.: Review of two-phase flow instability. Nucl. Eng. Des. 25(2), 165–192 (1973)

    Article  Google Scholar 

  2. Kakac, S., Bon, B.: A review of two-phase flow dynamic instabilities in tube boiling systems. Int. J. Heat Mass Transf. 51(02), 399–433 (2008)

    Article  Google Scholar 

  3. Stenning, A.H.: Instabilities in the flow of a boiling liquid. J. Basic Eng. 86(2), 213–217 (1964)

    Article  Google Scholar 

  4. Rizwan-Uddin: On density-wave oscillations in two-phase flows. Int. J. Multiph. Flow 20(4), 721–737 (1994)

    Google Scholar 

  5. O’Neill, L.E., Mudawar, I.: Mechanistic model to predict frequency and amplitude of density wave oscillations in vertical upflow boiling. Int. J. Heat Mass Transf. 123, 143–171 (2018)

    Article  Google Scholar 

  6. Rizwan-Uddin, Dorning, J., : Some nonlinear dynamics of a heated channel. Nucl. Eng. Des. 93(1), 1–14 (1986)

    Google Scholar 

  7. Liang, N., Shuangquan, S., Tian, C., Yan, Y.: Two-phase flow instabilities in horizontal straight tube evaporator. Appl. Therm. Eng. 31(2), 181–187 (2011)

    Article  Google Scholar 

  8. Narayanan, S., Srinivas, B., Pushpavanam, S., Bhallamudi, S.M.: Non-linear dynamics of a two phase flow system in an evaporator: the effects of (i) a time varying pressure drop (ii) an axially varying heat flux. Nucl. Eng. Des. 178(3), 279–294 (1997)

    Article  Google Scholar 

  9. Liu, H.T., Kakac, S.: An experimental investigation of thermally induced flow instabilities in a convective boiling upflow system. Wärme - und Stoffübertragung 26(6), 365–376 (1991)

    Google Scholar 

  10. Wang, Q., Chen, X., Kakaç, S., Ding, Y.: An experimental investigation of density-wave-type oscillations in a convective boiling upflow system. Int. J. Heat Fluid Flow 15(3), 241–246 (1994)

    Article  Google Scholar 

  11. Chiapero, E.M., Doder, D., Fernandino, M., Dorao, C.: Experimental parametric study of the pressure drop characteristic curve in a horizontal boiling channel. Exp. Therm. Fluid Sci. 52, 318–327 (2014)

    Article  Google Scholar 

  12. Dorao, C.A.: Effect of inlet pressure and temperature on density wave oscillations in a horizontal channel. Chem. Eng. Sci. 134, 767–773 (2015)

    Article  Google Scholar 

  13. Fukuda, K., Kobori, T.: Classification of two-phase flow instability by density wave oscillation model. J. Nucl. Sci. Technol. 16(2), 95–108 (1979)

    Article  Google Scholar 

  14. Dokhane, A., Rizwan-Uddin, Chawla, R.: BWR stability and bifurcation analysis using reduced order models and system codes: identification of a subcritical Hopf bifurcation using RAMONA. Ann. Nucl. Energy 34(10), 792–802 (2007)

    Google Scholar 

  15. Paul, D., Singh, S., Mishra, S.: Interaction of density wave oscillations and flow maldistribution for two-phase flow boiling parallel channels. Int. J. Therm. Sci. 145, 106026 (2019)

    Article  Google Scholar 

  16. Paul, D., Singh, S., Mishra, S.: Impact of system pressure on the characteristics of stability boundary for a single-channel flow boiling system. Nonlinear Dyn. 96, 175–184 (2019)

    Article  Google Scholar 

  17. Rahman, M.E., Singh, S.: Flow excursions and pressure drop oscillations in boiling two-phase channel. Int. J. Heat Mass Transf. 138, 647–658 (2019)

    Article  Google Scholar 

  18. Rahman, M.E., Singh, S.: Non-linear stability analysis of pressure drop oscillations in a heated channel. Chem. Eng. Sci. 192, 176–186 (2018)

    Article  Google Scholar 

  19. Singh, M.P., Singh, S.: Non-linear stability analysis of supercritical carbon dioxide flow in inclined heated channel. Progr. Nucl. Energy 117, 103048 (2019)

    Article  Google Scholar 

  20. Singh, M.P., Paul, S., Singh, S.: Development of a novel nodalized reduced order model for stability analysis of supercritical fluid in a heated channel. Int. J. Therm. Sci. 137, 650–664 (2019)

    Article  Google Scholar 

  21. Singh, M.P., Emadur, M.E., Singh, S.: Nodalized reduced ordered model for stability analysis of supercritical fluid in heated channel. In: ASME 2018 Power Conference collocated with the ASME 2018 12th International Conference on Energy Sustainability and the ASME 2018 Nuclear Forum, vol. 137, Paper No. POWER2018-7366 (2018)

    Google Scholar 

  22. Paul, S., Singh, S.: Linear stability analysis of flow instabilities with a nodalized reduced order model in heated channel. Int. J. Therm. Sci. 98, 312–331 (2015)

    Article  Google Scholar 

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Acknowledgements

Funding for this work from the Research Council of Norway under the FRINATEK project 275652 is gratefully acknowledged. The authors also gratefully acknowledge the European Unions Horizon 2020 research and innovation programme to receive funding from the Marie Skodowska-Curie Actions Individual Fellowship grant (Dr. Subhanker Paul) for the project HisTORIC (No 789476).

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Correspondence to Subhanker Paul .

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Paul, S., Paul, S., Fernandino, M., Dorao, C.A. (2021). Does the Criteria of Instability Thresholds During Density Wave Oscillations Need to Be Redefined?. In: Bose, M., Modi, A. (eds) Proceedings of the 7th International Conference on Advances in Energy Research. Springer Proceedings in Energy. Springer, Singapore. https://doi.org/10.1007/978-981-15-5955-6_5

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  • DOI: https://doi.org/10.1007/978-981-15-5955-6_5

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  • Online ISBN: 978-981-15-5955-6

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