Abstract
The correlation dependence of thermal conductivity \({{\lambda }_{{\text{s}}}}\) of liquid refrigerants on the saturation line is developed as a simple function of temperature \(T\): \({{\lambda }_{{\text{s}}}}{\text{/}}{{\lambda }_{0}} = {{(1 + \tau )}^{2}} + A{{\tau }^{{ - \chi }}}\) (where \({{\lambda }_{0}}\) is the criterion unit, \(\tau = 1 - T{\text{/}}{{T}_{{\text{c}}}}\), and \({{T}_{{\text{c}}}}\) is the critical temperature). This dependence satisfies the requirements of dynamic scale theory (ST), and in particular, the passage to the limit \({{\lambda }_{{\text{s}}}}(T \to {{T}_{{\text{c}}}}) \to + \infty \). The proposed correlation dependence is tested using the example of describing the thermal conductivity of 17 liquid substances in the range of state parameters from the saturation line to the critical pressure \({{p}_{{\text{c}}}}\) and in the temperature range from the triple point temperature Ttr to \({{T}_{{\text{c}}}}\). The substances reviewed include nine fourth-generation refrigerants of hydrofluorochloro derivatives of olefins, seven hydrochlorofluorocarbons and hydrofluorocarbons, and C3H8. Using the description of \({{\lambda }_{{\text{s}}}}\) of C3H8 as an example, it is shown that the proposed correlation dependence not only qualitatively but also quantitatively accurately conveys the behavior of \({{\lambda }_{{\text{s}}}}\) in the vicinity of the critical point. Based on the statistical analysis, it is shown that the proposed correlation with significantly less uncertainty describes the data on the thermal conductivity of liquid hydrofluorochloro derivatives of olefins both on the saturation line and in the single-phase region. Based on the proposed methodology, the thermal conductivity of the cis-isomer R1225ye(Z) is calculated for the first time in the temperature range \(134.3\,\,{\text{K}} \leqslant T \leqslant 373.15\,\,{\text{K}}\).
REFERENCES
Rykov, S.V. and Kudryavtseva, I.V., Russ. J. Phys. Chem. A, 2022, vol. 96, no. 10, p. 1421.
Kudryavtseva, I.V., Rykov, S.V., and Rykov, V.A., Nauchno-Tekh. Vestn. Povolzh’ya, 2021, no. 12, p. 205.
Tsvetkov, O.B., Mitropov, V.V., and Laptev, Yu.A., Vestn. Mezhdunar. Akad. Kholoda, 2021, no. 3, p. 75.
Tsvetkov, O.B., Mitropov, V.V., Prostorova, A.O., and Laptev, Yu.A., J. Phys.: Conf. Ser., 2020, vol. 1683, p. 032021.
Di Nicola, G., Ciarrocchi, E., Coccia, G., and Pierantozzi, M., Int. J. Refrig., 2014, vol. 45, p. 168.
Tomassetti, S., Coccia, G., Pierantozzi, M., and Di Nicola, G., Int. J. Refrig., 2020, vol. 117, p. 358.
Di Nicola, G., Pierantozzi, M., Petrucci, G., and Stryjek, R., J. Thermophys. Heat Transfer, 2016, vol. 30, p. 1.
Yang, S., Tian, J., and Jiang, H., Fluid Phase Equilib., 2020, vol. 509, p. 112459.
Amooey, A.A., J. Eng. Phys. Thermophys., 2017, vol. 90, no. 2, p. 392.
Ishida, H., Mori, S., Kariya, K., and Miyara, A., Proc. 24th Int. Congress of Refrigeration, Yokohama, 2015, p. 683.
Alam, Md.J., Yamaguchi, K., Hori, Y., Kariya, K., and Miyara, A., Int. J. Refrig., 2019, vol. 104, p. 221.
Alam, Md.J., Islam, M.A., Kariya, K., and Miyara, A., Int. J. Refrig., 2018, vol. 90, p. 174.
Perkins, R.A. and Huber, M.L., J. Chem. Eng. Data, 2017, vol. 62, p. 2659.
Perkins, R.A. and Huber, M.L., J. Chem. Eng. Data, 2011, vol. 56, p. 4868.
Kim, D., Liu, H., Yang, X., Yang, F., Morfitt, J., Arami-Niya, A., Ryu, M., Duan, Y., and May, E.F., Int. J. Refrig., 2021, vol. 131, p. 990.
Mondal, D., Kariya, K., Tuhin, A.R., Miyoshi, K., and Miyara, A., Int. J. Refrig., 2021, vol. 129, p. 109.
Haowen, G., Xilei, W., Yuan, Zh., Zhikai, G., Xiaohong, H., and Guangming, Ch., Ind. Eng. Chem. Res., 2021, vol. 60, p. 9592.
Alam, Md., Islam, J.M.A., Kariya, K., and Miyara, A., Int. J. Refrig., 2017, vol. 84, p. 220.
Perkins, R.A. and Huber, M.L., Int. J. Thermophys., 2020, vol. 41, p. 103.
Miyara, A., Fukuda, R., and Tsubaki, K., Trans. JSRAE, 2011, vol. 28, p. 435.
Perkins, R.A., Huber, M.L., and Assael, M.J., J. Chem. Eng. Data, 2016, vol. 61, p. 3286.
Yata, J., Hori, M., Niki, M., Isono, Y., and Yanagitani, Y., Fluid Phase Equilib., 2000, vol. 174, p. 221.
Froba, A.P., Krzeminski, K., and Leipertz, A., Int. J. Thermophys., 2004, vol. 25, p. 987.
Assael, M.J. and Karagiannidis, E., Int. J. Thermophys., 1993, vol. 14, p. 183.
Gross, U., Song, Y.W., and Hahne, E., Int. J. Thermophys., 1992, vol. 13, p. 957.
Tanaka, Y., Miyake, A., Kashiwagi, H., and Makita, T., Int. J. Thermophys., 1988, vol. 9, p. 465.
Tanaka, Y. and Sotani, T., Int. J. Thermophys., 1996, vol. 17, p. 293.
Tsvetkov, O.B., Laptev, Yu.A., and Asambaev, A.G., Int. J. Thermophys., 1994, vol. 15, p. 203.
Ueno, Y., Kobayashi, Y., Nagasaka, Y., and Nagashima, A., Trans. Jpn. Soc. Mech. Eng., Ser. B, 1991, vol. 57, no. 541, p. 3169.
Nieto de Castro, C.A., Int. J. Thermophys., 1997, vol. 18, p. 1077.
Jeong, S.U., Kim, M.S., and Ro, S.T., Int. J. Thermophys., 1999, vol. 20, p. 55.
Laesecke, A., Perkins, R.A., and Nieto de Castro, C.A., Fluid Phase Equilib., 1992, vol. 80, p. 263.
Papadaki, M., Schmitt, M., Seitz, A., Stephan, K., Taxis, B., and Wakeham, W.A., Int. J. Thermophys., 1993, vol. 14, p. 173.
Ro, S.T., Kim, J.Y., and Kim, D.S., Int. J. Thermophys., 1995, vol. 16, p. 1193.
Kim, S.H., Kim, D.S., Kim, M.S., and Ro, S.T., Int. J. Thermophys., 1993, vol. 14, p. 937.
Perkins, R.A., Laesecke, A., and Nieto de Castro, C.A., Fluid Phase Equilib., 1992, vol. 80, p. 275.
Nieto de Castro, C.A., Tufeu, R., and Le Neindre, B., Int. J. Thermophys., 1992, vol. 13, p. 383.
Yata, J., Hori, M., Kurahashi, T., and Minamiyama, T., Fluid Phase Equilib., 1992, vol. 80, p. 287.
Haynes, W.M., Thermophysical Properties of HFC-, p. 143.
Yata, J., Hori, M., Kobayashi, K., and Minamiyama, T., Int. J. Thermophys., 1996, vol. 17, p. 561.
Gross, U., Songa, Y.W., and Hahne, E., Fluid Phase Equilib., 1992, vol. 76, p. 273.
Gurova, A.N., Mardolcar, U.V., and Nieto de Castro, C.A., Int. J. Thermophys., 1999, vol. 20, p. 63.
Marsh, K.N., Perkins, R.A., and Ramires, M.L.V., J. Chem. Eng. Data, 2002, vol. 47, p. 932.
Filippov, L.P., Prognozirovanie teplofizicheskikh svoistv zhidkostei i gazov (Prediction of Thermophysical Properties of Liquids and Gases), Moscow: Energoatomizdat, 1988.
Kolobaev, V.A., Popov, P.V., Kozlov, A.D., Rykov, S.V., Kudryavtseva, I.V., Rykov, V.A., Sverdlov, A.V., and Ustyuzhanin, E.E., Meas. Tech., 2021, vol. 64, p. 109.
Tsvetkov, O.B., Laptev, Yu.A., and Mitropov, V.V., Mater. 8-i Rossiiskoi natsional’noi konferentsii po teploobmenu (Proc. 8th Russ. Natl. Conf. on Heat Transfer), Moscow: Mosk. Energ. Inst., 2022, vol. 2, p. 217.
Richter, M., McLinden, M.O., and Lemmon, E.W., J. Chem. Eng. Data, 2011, vol. 56, p. 3254.
Fang, Y., Ye, G., Ni, H., Jiang, Q., Bao, K., Han, X., and Chen, G., J. Chem. Eng. Data, 2020, vol. 65, p. 4215.
Fedele, L., Bobbo, S., Scattolini, M., Zilio, C., and Akasaka, R., Int. J. Refrig., 2020, vol. 118, p. 139.
Mondéjar, M.E., McLinden, M.O., and Lemmon, E.W., J. Chem. Eng. Data, 2015, vol. 60, p. 2477.
Thol, M. and Lemmon, E.W., Int. J. Thermophys., 2016, vol. 37, p. 28.
Di Nicola, G., Brown, J.S., Fedele, L., Bobbo, S., and Zilio, C., J. Chem. Eng. Data, 2012, vol. 57, p. 2197.
Akasaka, R. and Lemmon, E.W., J. Chem. Eng. Data, 2019, vol. 64, p. 4679.
Sakoda, N., Higashi, Y., and Akasaka, R., J. Chem. Eng. Data, 2021, vol. 66, p. 734.
McLinden, M.O. and Akasaka, R., J. Chem. Eng. Data, 2020, vol. 65, p. 4201.
Lemmon, E.W., Huber, M.L., and McLinden, M.O., J. Chem. Eng. Data, 2015, vol. 60, p. 3745.
Lemmon, E.W. and Span, R., J. Chem. Eng. Data, 2015, vol. 60, p. 3745.
Froba, A.P., Krzeminski, K., and Leipertz, A.
Lemmon, E.W., McLinden, M.O., and Wagner, W., J. Chem. Eng. Data, 2009, vol. 54, p. 3141.
Fedele, L., Di Nicola, G., Brown, J.S., Colla, L., and Bobbo, S., Int. J. Refrig., 2016, vol. 69, p. 243.
Huber, M.L., NISTIR 8209. Models for Viscosity, Thermal Conductivity, and Surface Tension of Selected Pure Fluids as Implemented in Refprop v10.0, 2018.
Perkins, R.A., Sengers, J.V., Abdulagatov, I.M., and Huber, M.L., Int. J. Thermophys., 2013, vol. 34, p. 191.
Kadanoff, L. and Swift, J., Phys. Rev., 1968, vol. 166, p. 89.
Ma, Sh.-K., Modern Theory of Critical Phenomena, New York: W.A. Benjamin, 1976.
Rykov, V.A., Rykov, S.V., and Sverdlov, A.V., J. Phys.: Conf. Ser., 2019, vol. 1385, p. 012013.
Kolobaev, V.A., Rykov, S.V., Kudryavtseva, I.V., Ustyuzhanin, E.E., Popov, P.V., Rykov, V.A., and Kozlov, A.D., Meas. Tech., 2022, vol. 65, no. 5, p. 330.
Rykov, S.V., Kudriavtseva, I.V., Sverdlov, A.V., and Rykov, V.A., AIP Conf. Proc., 2020, vol. 2285, p. 030070.
Le Guillou, J.C. and Zinn-Justin, J., J. Phis. Lett., 1985, vol. 46, p. 137.
Kiselev, S.B., in Obzory po teplofizicheskim svoistvam veshchestv (Reviews on Thermophysical Properties of Substances), Moscow: Inst. Vys. Temp. Akad. Nauk SSSR, 1989, no. 2(76).
Kudryavtseva, I.V., Rykov, V.A., Rykov, S.V., and Ustyuzhanin, E.E., J. Phys.: Conf. Ser., 2018, vol. 946, p. 012118.
Forsythe, G., Malcolm, M., and Moler, C., Computer Methods for Mathematical Computations, Engel Wood Cliffs: Prentice-Hall, 1977.
Le Neindre, B., Fluid Phase Equilib., 2017, vol. 450, p. 1.
Pierantozzi, M., Tomassetti, S., and Di Nicola, G., App-l. Sci., 2023, vol. 13, p. 260.
Advances in New Heat Transfer Fluids: From Numerical to Experimental Techniques, New York: Taylor & Francis, 2017.
Rykov, S.V., Kudryavtseva, I.V., Rykov, V.A., and Ustyuzhanin, E.E., J. Phys.: Conf. Ser., 2021, vol. 2057, p. 012113.
Rykov, S.V., Kudryavtseva, I.V., and Rykov, V.A., Vestn. Mezhdunar. Akad. Kholoda, 2022, no. 2, p. 70.
Tomassetti, S., Di Nicola, G., and Kondou, Ch., Int. J. Refrig., 2022, vol. 133, p. 172.
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors of this work declare that they have no conflicts of interest.
Additional information
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Rykov, S.V., Kudryavtseva, I.V. & Rykov, V.A. New Correlation Model of Thermal Conductivity of Liquid Hydrofluorochloro Derivatives of Olefins, Hydrofluorocarbons, and Hydrochlorofluorocarbons. High Temp 61, 775–784 (2023). https://doi.org/10.1134/S0018151X23050140
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018151X23050140