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Analysis of Relations for Calculating Normal Heat Transfer to Supercritical Pressure Water Flow in Vertical Tubes

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The generalized relations for calculating the coefficient of normal heat transfer during forced motion of water at supercritical pressure in vertical tubes is analyzed. It is shown on the basis of a comparison with a large experimental database (more than 4000 experimental points from 20 domestic and foreign works) that the equation obtained by the present authors gives the best agreement between the computational and experimental results for regimes with normal heat transfer in water near the critical point.

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References

  1. P. L. Kirillov, “Water cooled reactors on supercritical pressure water,” Teploenergetika, No. 5, 2–5 (2008).

  2. B. S. Petukhov, “Heat exchange in a single-phase medium with near-critical parameters of state,” Teplofiz. Vys. Temp., 6, No. 4, 732–745 (1968).

    Google Scholar 

  3. I. Pioro and R. Duffey, Heat Transfer and Hydraulic Resistance at Supercritical Pressures in Power-Engineering Applications, ASME Press, NY (2007).

    Book  Google Scholar 

  4. H. Li, M. Zhao, H. Gu, et al., “Heat transfer research on supercritical water flow in 2×2 bundles,” Proc. ISSCWR-6, Shenzhen, China (2013), Pap. 13055.

  5. H. Zahlan, D. C. Groeneveld, S. Tavoularis, et al., “Assessment of supercritical heat transfer prediction methods,” Proc. ISSCWR-5, Vancouver, Canada (2011), Pap. 8.

  6. S. Mokry, I. Pioro, A. Farah, et al., “Development of supercritical water heat-transfer correlation for vertical bare tubes,” Nucl. Eng. Design, 241, 1126–1136 (2011).

    Article  Google Scholar 

  7. M. E. Shitsman, “Degraded heat-emission regimes at supercritical pressures,” Teplofiz. Vys. Temp., 1, No. 2, 267–275 (1963).

    Google Scholar 

  8. A. Bishop, R. Sandberg, and L. Tong, Forced Convection Heat Transfer to Water at Near-Critical Temperatures and Supercritical Pressures, Report WCAP-2056, Pt IV, Westinghouse Electric Corporation, USA (1964).

  9. H. S. Swenson, J. R. Carver, and C. R. Kakarala, “Heat transfer to supercritical water in smooth tubes,” Teploperedacha, No. 4, 58–67 (1865).

  10. Yu. V. Vikhrev, Yu. D. Barulin, and A. S. Kon’kov, “Investigation of heat exchange in vertical tubes at supercritical pressures,” Teploenergetika, No. 9, 80–82 (1967).

  11. M. E. Shitsman, “Particularities of the temperature regime in tubes at supercritical pressures,” Teploenergetika, No. 5, 57–61 (1968).

  12. N. S. Alferov, R. A. Rybin, and B. F. Balunov, “Heat emission in turbulent flow of water in a vertical tube under strong infl uence of natural convection,” Teploenergetika, No. 12, 66–70 (1969).

  13. J. Ackerman, “Pseudoboiling heat transfer to supercritical pressure water in smooth and ribbed tubes,” J. Heat Transfer, Trans. ASME, 92, No. 3, 490–498 (1970).

  14. A. P. Ornatskii, L. F. Glushchenko, and S. I. Kalachev, “Heat emission in up and down motion of water in small-diameter tubes at supercritical pressures,” Teploenergetika, No. 5, 91–93 (1971).

  15. I. I. Belyakov, L. Yu. Krasyakova, A. V. Zhukovskii, and N. D. Fefelova, “Heat exchange in vertical lifting and horizontal tubes at supercritical pressure,” Teploenergetika, No. 11, 39–43 (1971).

  16. L. F. Glushchenko, S. I. Kalachev, and O. F. Gandzyuk, “Determination of the conditions for the existence of degraded regimes of heat-emission at supercritical pressures of the medium,” Teploenergetika, No. 2, 69–72 (1972).

  17. K. Yamagata, K. Nishikawa, S. Hasegawa, et al., “Forced convective heat transfer to supercritical water flowing in tubes,” Int. J. Heat Mass Transfer, 15, No. 12, 2575–2593 (1972).

    Article  Google Scholar 

  18. N. S. Alferov, B. F. Balunov, and R. A. Rybin, “On the calculation of heat exchange during mixed convection,” Teploenergetika, No. 6, 71–75 (1975).

  19. G. V. Alekseev, V. A. Silin, A. M. Smirnov, and V. I. Subbotin, “Investigation of temperature regimes of a tube wall during heat removal by water at supercritical pressure,” Teplofiz. Vys. Temp., 14, No. 4, 769–774 (1976).

    Google Scholar 

  20. S. Ishigai, M. Kaji, and M. Nakamoto, “Heat exchange and friction in water flow in tubes at supercritical pressure,” Heat-and-Mass Transfer-V, Minsk (1976), Vol. 1, Pt. 1, pp. 261–269.

  21. L. Yu. Krasyakov, I. I. Belyakov, and N. D. Fefelova, “Heat exchange during down flow of supercritical pressure water,” Teploenergetika, No. 1, 8–13 (1977).

  22. M. Watts and C. Chou, “Mixed convection heat transfer to supercritical pressure water,” Proc. 7th Int. Heat Transfer Conf., München, Germany (1982), Vol. 3, pp. 495–500.

  23. P. L. Kirillov, R. S. Pomet’ko, A. M. Smirnov, and V. A. Grabezhnaya, Investigation of Heat Exchange at Supercritical Pressures of Water in Tubes and Rod Bundles, Preprint FEI-3051 (2005).

  24. E. Pis’menny, V. Razumovskiy, E. Maevskiy, et al., “Experimental study on temperature regimes to supercritical water flowing in vertical tubes at significant impact of free convection,” Proc. Int. Conf. GLOBAL-2005 Nuclear Energy Systems for Future Generation and Global Sustainability, Tsukuba, Japan (2005), p. 519.

  25. Y. Li, Z. Huang, X. Zeng, et al., “Experimental research on heat transfer of supercritical water up flowing in vertical tube,” Proc. ISSCWR-5, Vancouver, Canada (2011), Pap. 21.

  26. H. Li, J. Yang, X. Fu, et al., “Research and development of supercritical water-cooled reactor in CGNPC,” Proc. ISSCWR-6, Shenzhen, China (2013), p. 13078.

  27. X. Cheng, Y. Yang, and S. Huang, “A simplified method for heat transfer prediction of supercritical fluids in circular tubes,” Ann. Nucl. Energy, 36, 1120–1128 (2009).

    Article  Google Scholar 

  28. Y. Bae and H. Kim, “Convective heat transfer to CO2 at a supercritical pressure flowing vertically upward in tubes and an annular channel,” Exp. Thermal Fluid Sci., 33, 329–339 (2009).

    Article  Google Scholar 

  29. S. Gupta, S. Mokry, and I. Pioro, “Developing a heat-transfer correlation for supercritical-water flowing in vertical tubes and its application in SCWR,” Proc. ICONE-19, Makuhari, Japan (2011), Pap. 43503.

  30. V. A. Kurganov, Yu. A. Zeigarnik, and I. V. Maslakova, “Heat transfer and hydraulic resistance of supercritical pressure coolants, Pt III, Generalized description of SCP fluids normal heat transfer, empirical calculating correlations, integral method of theoretical calculations,” Int. J. Heat Mass Transfer, 67, 535–547 (2013).

    Article  Google Scholar 

  31. V. I. Deev, V. S. Kharitonov, A. N. Churkin, and V. V. Arkhipov, “Taking account of the variability of the thermophysical properties of coolant in the equation of heat transfer to forced water flow at supercritical pressure,” Vest. NIYaU MIFI, 3, No. 3, 353–361 (2014).

    Google Scholar 

  32. W. McAdams, Heat Transmission [Russian translation], Metallurgiya, Moscow (1961).

  33. V. S. Protopopov, “Colligating relations for local coefficients of heat emission in turbulent flow of water and carbon dioxide at supercritical pressure in uniformly heated circular tubes,” Teplofiz. Vys. Temp., 15, No. 4, 815–821 (1977).

    ADS  Google Scholar 

  34. W. Hall and J. Jackson, “Heat exchange near the critical point,” Heat Exchange: Progress, Problems, Prospects: Selec. Works 6th Int. Conf. Heat Exchange, Mir, Moscow (1981), pp. 106–144.

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Translated from Atomnaya Énergiya, Vol. 119, No. 3, pp. 138–144, September, 2015.

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Deev, V.I., Rachkov, V.I., Kharitonov, V.S. et al. Analysis of Relations for Calculating Normal Heat Transfer to Supercritical Pressure Water Flow in Vertical Tubes. At Energy 119, 169–176 (2016). https://doi.org/10.1007/s10512-015-0045-z

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  • DOI: https://doi.org/10.1007/s10512-015-0045-z

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