Abstract
Modes of normal and degraded (with peaks of wall temperature) heat transfer are computed for the turbulent flow of carbon dioxide within a circular tube at supercritical pressure. Computation is based on a set of motion, continuity, and energy equations written under the approximation of a narrow channel. The turbulence model uses the Prandtl formula for the turbulent viscosity. The relationship for the travel length takes into account the effect of variation in the fluid properties and thermal acceleration through the tube section. Computation results for variation in the wall temperature along the tube fit the experimental data. An explanation is given for causes of the appearance of the peak on the wall temperature distribution along the tube in the area, where the fluid temperature is close to the pseudocritical temperature.
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Kirillov, P.L., in Trudy 4-i Rossiiskoi natsional’noi konferentsii po teploobmenu (Proceedings of the Fourth Russian National Conference on Heat Transfer, Moscow, Russia, October 23–27, 2006), Moscow: Moscow Power Engineering Institute, 2006, vol. 1, p. 231.
Kurganov, V.A., in Trudy 4-i Rossiiskoi natsional’noi konferentsii po teploobmenu (Proceedings of the Fourth Russian National Conference on Heat Transfer, Moscow, Russia, October 23–27, 2006), Moscow: Moscow Power Engineering Institute, 2006, vol. 1, p. 83.
Shitsman, M.E., Teplofiz. Vys. Temp., 1963, vol. 1, no. 2, p. 267.
Petukhov, B.S., Adv. Heat Transfer, 1970, vol. 6, p. 503.
Kurganov, V.A., Teploenergetika, 1998, no. 3, p. 2.
Kurganov, V.A., Teploenergetika, 1998, no. 4, p. 35.
Kirillov, P.L., Lozhkin, V.V., and Smirnov, A.M., Preprint of State Science Center of the Russian Federation-Leipunskii Institute for Physics and Power Engineering, Obninsk, 2003, no. 2988.
Kim, J.K., Jeon, H.K., and Lee, J.S., Int. J. Heat Mass Transfer, 2007, vol. 50, p. 4908.
Jiang, P.-X., Zhang, Y., and Shi, R.-F., Int. J. Heat Mass Transfer, 2008, vol. 51, p. 3052.
Song, J.H., Kim, H.J., Kim, H., and Bae, Y.Y., J. Supercrit. Fluids, 2008, vol. 44, p. 164.
Zhu, X., Bi, Q., Yang, D., and Chen, T., Nucl. Eng. Des., 2009, vol. 239, p. 381.
Schnurr, N.M., Sastry, V.S., and Shapiro, A.B., J. Heat Transfer, 1976, vol. 98, p. 609.
Petukhov, B.S., Vilenskii, V.D., and Medvetskaya, N.V., High Temp., 1977, vol. 15, no. 3, p. 464.
Popov, V.N., Belyaev, V.M., and Valueva, E.P., High Temp., 1978, vol. 15, no. 6, p. 1043.
Koshizuka, S., Takano, N., and Oka, Y., Int. J. Heat Mass Transfer, 1995, vol. 38, p. 3077.
Kim, S.H., Kim, Y.I., Bae, Y.Y., and Cho, B.H., in Proceedings of the International Congress on Advances in Nuclear Power Plants (ICAPP’04), Pittsburgh, Pennsylvania, United States, June 13–17, 2004, Pittsburgh, 2004, paper 4047, p. 1527.
Roelofs, F., in Jahrestagung Kerntechnik (Annual Meeting on Nuclear Technology), Nürnberg, Germany, May 10–12, 2005, Nürnberg, 2005, p. 28.
Cheng, X., Kuang, B., and Yang, Y.H., Nucl. Eng. Des., 2007, vol. 273, p. 240.
Yamagata, K., Nishikawa, K., Hasegawa, S., Fujii, T., and Yoshida, S., Int. J. Heat Mass Transfer, 1972, vol. 15, p. 2575.
Popov, V.N., High Temp., 1978, vol. 15, no. 4, p. 670.
Popov, V.N. and Belyaev, V.M., High Temp., 1979, vol. 16, no. 5, p. 864.
Ankudinov, V.B., Cand. Sci. (Tech.) Dissertation, Moscow: Moscow Power Engineering Institute, 1983.
Kurganov, V.A., Ankudinov, V.B., and Kaptil’nyi, A.G., in Turbulentnyi teploobmen pri smeshannoi konvektsii v vertikal’nykh trubakh (Turbulent Heat Transfer with a Mixed Convection in Vertical Tubes), Polyakov, A.F., Ed., Moscow: Institute of High Temperatures of the Academy of Sciences of the Soviet Union, 1989, p. 95.
Kurganov, V.A. and Maslakova, I.V., High Temp., 2010, vol. 48, no. 4, p. 541.
Altunin, V.V., Thermophysical Properties of Carbon Dioxide, London: Collets, 1968.
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Original Russian Text © E.P. Valueva, 2012, published in Teplofizika Vysokikh Temperatur, 2012, Vol. 50, No. 2, pp. 298–306.
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Valueva, E.P. Numerical modeling of heat exchange and turbulent flow of fluid within tubes at supercritical pressure. High Temp 50, 278–285 (2012). https://doi.org/10.1134/S0018151X12020204
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DOI: https://doi.org/10.1134/S0018151X12020204