EDN: MVCQWY
Authors & Affiliations
Kruglov A.B., Kharitonov V.S.
National Research Nuclear University Moscow Engineering Physics Institute, Moscow, Russia
Kruglov A.B. – Associate Professor, Cand. Sci. (Phys.-Math.)
Kharitonov V.S. – Associate professor, Cand. Sci. (Tech.). Contacts: 31, Kashirskoe sh., Moscow, 115409. Tel.: +7 (499) 324-77-77; е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
Abstract
The article is devoted to a review of published experimental data and calculation recommendations on the thermophysical properties of sodium and lead coolants, which are necessary for substantiating the thermohydraulic characteristics of fast reactors with liquid metal coolant, as well as for analyzing their safety using computer codes. The article analyzes the consistency of experimental data provided in various sources on the density, isobaric heat capacity, dynamic viscosity and thermal conductivity of sodium of varying purity in the range from the melting point to the boiling point at a pressure of 0.1 MPa, as well as at elevated pressures. Available information on the thermophysical properties of liquid and gaseous sodium on the saturation line at high temperatures and pressures up to the critical point is considered. Available data on the thermophysical properties of molten lead in the temperature range from the melting point to temperatures close to the boiling point at atmospheric pressure are considered. Information on the experimental methods used is provided. The uncertainty of the experimental data on the density, heat capacity, dynamic viscosity and thermal conductivity of molten lead is discussed. The results of high-temperature measurements of the heat capacity of lead, obtained by pulsed heating method at temperatures of 2000–5000 K and pressures of 0.1 MPa – 0.5 GPa, are presented. The updated experimental data of the authors of the article on the effect of metallic impurities in lead on its thermal conductivity are presented. It is noted that the thermal conductivity of lead with a metallic impurity content of 0.00385 wt. % is approximately 2 % higher than the thermal conductivity of lead with an impurity content of 0.0092 wt. %.
Keywords
liquid metal coolants of fast reactors, thermophysical properties of sodium and lead, density, heat capacity, dynamic viscosity, coefficient of thermal conductivity, experimental data error
Article Text (PDF, in Russian)
References
- Fink J.K., Leibowitz L. Thermodynamic and transport properties of sodium liquid and vapor. Report ANL/RE–95–2. Argonne National Laboratory, 1995. 237 p. DOI: https://doi.org/10.2172/94649.
- Sobolev V. Thermophysical properties of lead and lead–bismuth eutectic. Journal of Nuclear Materials, 2007, vol. 362, no. 2–3, pp. 235–237. DOI: 10.1016/j.jnucmat.2007.01.144.
- Bobkov V.P., Fokin L.R., Petrov E.E., Popov V.V., Rumiantsev V.N., Savvatimsky A.I. Thermophysical Properties of Materials for Nuclear Engineering: A Tutorial and Collection of Data. Ed. Kirillov P.L. Vienna: IAEA, 2008. 191 p.
- Sobolev V. Database of thermophysical properties of liquid metal coolants for GEN-IV. Mol: Belgian Nuclear Research Center SCK-CEN, 2011. 173 p.
- Recommendations on adopting the values and correlations for calculating the thermophysical and kinetic properties of liquid lead. Therm. Eng., 2015, vol. 62, issue 6, pp. 434–437. DOI: https://doi.org/10.1134/S0040601515060075.
- Miller R.R. Physical Properties of Liquid Metals. In: Liquid Metals Handbook. Ed. Lyon. 2nd Ed. Report NAVEXOS P-733. Washington, USA: Atomic Energy Commission and Dept. of the Navy, 1954. 257 p.
- Kutateladze S.S., Borishansky V.M., Novikov I.I., Fedynsky O.S. Zhidkometallicheskiye teplonositeli [Liquid metal coolants]. Moscow, Atomizdat Publ., 1958. 205 p.
- Golden G.H., Tokar J.V. Thermophysical properties of sodium. ANL-7323. Report of Argonne National Laboratory. Springfield: National Bureau of Standards, 1967. 108 p.
- Novikov I.I., Gruzdev V.A., Kraev O.A., Odintsov A.A., Roshchupkin V.V. Eksperimental'noye issledovaniye teplofizicheskikh svoystv zhidkikh shchelochnykh metallov pri vysokikh temperaturakh [Experimental study of thermophysical properties of liquid alkali metals at high temperatures]. Teplofizika vysokikh temperature – High Temperature,1969, vol. 7, issue 1, pp. 71–74. Available at: https://www.mathnet.ru/rus/tvt6635 (accessed 16.03.2026).
- Vargaftik N.B. Spravochnik po teplofizicheskim svoystvam gazov i zhidkostey. 2-ye izd., dop. i pererab [Handbook of Thermophysical Properties of Gases and Liquids. 2nd ed., supplemented and revised]. Moscow, Nauka Publ., 1972. 721 p.
- Iida T., Guthrie R.I.L. The Physical Properties of Liquid Metals. Oxford: Clarendon Press, 1988. 288 p.
- Bogoslovskaya G.P. et al. Comparative Assessment of Thermophysical and Thermohydraulic Characteristics of Lead, Lead-Bismuth and Sodium Coolants for Fast Reactors. IAEA TECDOC-1289. Vienna: IAEA, 2002. 65 p. ISBN 92-0-113602-1.
- Fink J.K., Leibowitz L. Thermophysical Properties of Sodium. ANL-CEN-RSD-79-1. Argonne National Laboratory Report, 1979. 419 p.
- Shpilrain E.E., Yakimovich K.A., Totsky E.E. et al. Teplofizicheskiye svoystva shchelochnykh metallov. Pod red. akad. V.A. Kirillina [Thermophysical properties of alkali metals. Ed. acad. V.A. Kirillin]. Moscow, Izd-vo standartov Publ., 1970. 487 p.
- Bystrov P.I., Kagan D.N., Krechetova G.A., Shpilrain E.E. Zhidkometallicheskiye teplonositeli teplovykh trub i energeticheskikh ustanovok. Pod red. V.A. Kirilina[Liquid metal coolants of heat pipes and power plants. Ed. V.A. Kirilin]. Moscow, Nauka Publ., 1988. 263 p.
- Barin I., Knacke O. Thermochemical Properties of Inorganic Substances. Berlin: Springer-Verlag, 1973. 921 p. DOI: 10.1604/9783514003637.
- Hultgren R., Desai P.D., Hawkins D.T., Gleiser M., Kelley K.K. Selected Values of the Thermodynamic Properties of the Elements. Ohio: American Society for Metals, 1973. 636 p.
- Cheynet B., Dubois J.D., Milesi M. Donnees thermodynamiques des elements chimiques. Techniques de L’Ingénieur. Materiaux metalliques. Form M64, 7. 1996. pp. 1–22.
- Gale W.F., Totemeier T.C. Smithells Metals Reference Book. 8th edition. Elsevier Inc., 2004. 2072 p.
- Chase M.W., Davies C.A., Downey J.R., Frurip D.J., McDonald R.A., Syverud A.N. JANAF Thermochemical Tables. Third Edition. Journal of Physical and Chemical Reference Data, 1985, vol. 14, Supplement 1, pp. 1565–1569. DOI: https://doi.org/10.1063/1.555517.
- Thurnay K. Thermophysical Properties of Sodium in the Liquid and Gaseous States. Report KfK 2863. Karlsruhe: Kernforschungszentrum Karlsruhe GmbH, 1981. 238 p.
- Lucas L.D. Viscosité. Techniques de l’Ingénieur. Materiaux métalliques, 1984, no. M153, form M66. 26 p.
- Shpil'rain E.E. et al. Chapter 7.3. Dynamic and kinematic viscosity of liquid alkali metals. In: Handbook of Thermodynamic and Transport Properties of Alkali Metals. Ed. Ohse R.W. Boston: IUPAC, Blackwell Scientific Publications, 1985. Pp. 753–784.
- Cook J.G., Fritsch G. Chapter 7.2. Thermal Conductivity in the Liquid Phase. In: Handbook of Thermodynamic and Transport Properties of Alkali Metals. Ed. Ohse R.W. Boston: IUPAC, Blackwell Scientific Publications, 1985. Pp. 329–347.
- Mills K.C., Monaghan B.J., Keene B.J. Thermal conductivities of molten metals: Part 1 Pure metals. InternationalMaterials Reviews, 1996, vol. 41, no. 6, pp. 209–243. DOI: 10.1179/imr.1996.41.6.209.
- Odintsov A.A. Eksperimental'noye issledovaniye teploprovodnosti shchelochnykh metallov litiya, natriya, tseziya pri vysokikh temperaturakh. Dis. kand. tekh. nauk [Experimental study of thermal conductivity of alkali metals lithium, sodium, cesium at high temperatures. Diss. cand. tech. sci.] Moscow, MIFI Publ., 1967. 143 p.
- Agazhanov A., Abdullaev R.N., Samoshkin D.A., Stankus S.V. Thermal conductivity of lithium, sodium and potassium in the liquid state. Physics and Chemistry of Liquids, 2020, vol. 58, issue 6, pp. 760–768. DOI: 10.1080/00319104.2019.1636377.
- Kirshenbaum A.D., Cahill J.A., Grossi A.V. The density of liquid lead from the melting point to the normal boiling point. Journal of Inorganic and Nuclear Chemistry, 1961, vol. 22, pp. 33–38. DOI: 10.1016/0022-1902(61)80226-1.
- Crean L.E., Parkins W.E. Liquid Metal Cooled Reactors. Chapter 17. In: Reactor Handbook. 2nd Ed. (rev., enl.), vol. IV, Engineering. Eds. S. McLain, J.H. Martens. New York: Interscience Publishers, 1964. 857 p. DOI: 10.1080/18811248.2006.9711131.
- Ruppersberg H., Speicher W. Density and Compressibility of Liquid Li-Pb Alloys. Zeitschrift für Naturforschung, 1976, vol. 31 a, pp. 47–52. DOI: 10.1515/zna-1976-0106.
- Lucas L.D. Données physico-chimiques des principaux métaux et métalloïdes. Techniques de l’Ingénieur. Materiaux métalliques. no. M153, form M65a. 1984. 75 p.
- Stankus S.V., Khairulin R.A., Mozgovoy A.G., Roshchupkin V.V., Pokrasin M.A. Plotnost' svintsa, vismuta i ikh evtekticheskogo splava v kondensirovannom sostoyanii v diapazone temperatur ot 273,15 K do 1500 K. Tablitsy standartnykh spravochnykh dannykh [Density of lead, bismuth and their eutectic alloy in the condensed state in the temperature range from 273.15 K to 1500 K. Tables of standard reference data]. GSSSD 229-2007. 35 p.
- Friedland A.J. Coolant Properties. Heat Transfer and Fluid Flow of Liquid Metals. Fast Reactor Technology: Plant Design. Ed. J.G. Yevick. Ch. 2. Cambridge (MA): M.I.T. Press, 1966, pp. 16–84.
- Touloukian Y.S., Buyco E.H. Specific Heat: Metallic Elements and Alloys. In: Thermophysical Properties of Matter. Vol. 4. New York – Washington: IFI/Plenum, 1970. 750 p. ISBN 0306670240, 9780306670244.
- Gurvich L.V., Veyts I.V. Thermodynamic Properties of Individual Substances. 4th ed., Vol. 2, Parts 1 and 2. New York: Hemisphere Pub. Corp., 1991. 594 p. DOI: 10.1615/0-8493-9926-2.0.
- Stankus S.V., Khairulin A.R., Yatsuk O.S. Enthalpy and heat capacity of lead in a condensed state. At Energy, 2023, vol. 134, issue 3–4, pp. 150–158. DOI: https://doi.org/10.1007/s10512-024-01038-2.
- Sommelet P. Gibbs Energies, Entropies and Heats of Formation from Drop Calorimetry: the Silver Lead System. M.S. Thesis. California: Berkley University, 1965. 40 p.
- Douglas T., Dever J. Heat content of lead from 0 to 900 °C, and the heat of fusion. J. Amer. Chem. Soc., 1954, vol. 76, pp. 4824–4826. DOI: 10.1021/JA01648A015.
- Banchila S.N., Filippov L.P. Novyye izmereniya kompleksa teplovykh svoystv zhidkikh olova i svintsa [New measurements of a complex of thermal properties of liquid tin and lead]. Teplofizika vysokikh temperature – High Temperature, 1973, vol. 11, issue 3, pp. 668–671. Available at: https://www.mathnet.ru/rus/tvt10378 (accessed 16.03.2026).
- Hodgson W. Equation of State and Transport Measurements on Expanded Liquid Metals up to 8000 K and 0.4 GPa. Ph.D. Thesis. University of California, USA, 1978. 211 p.
- Pottlacher G., Jäger H. Measurement of thermophysical properties of lead by a submicrosecond pulse-heating method in the range 2000–5000 K. International Journal of Thermophysics, 1990, vol. 11, no. 4, pp. 719–729. DOI: /BF01184340.
- Hofmann W. Lead and Lead Alloys. Berlin, New York: Springer-Verlag, 1970. 551 p. ISBN 0387048804, 9780387048802.
- Iida T., Morita Z., Takeuchi S. Viscosity measurements of pure liquid metals by the capillary method. Journal of the Japan Institute of Metals, 1975, vol. 39, pp. 1169–1175. DOI: 10.2320/jinstmet1952.39.11_1169.
- Imbeni V. et al. Stato dell’arte sulle proprietà chimico-fisiche del Pb e Pb-Bi. Parte II. Proprietà di Pb e Pb-Bi, Na. In Studio di un acceleratore superconduttivo di protoni di grande potenza e studio di un sistema sottocritico da esso sostenuto per il bruciamento dei residui radioattivi, Sottotema 2: Prove di corrosione, BoMet. Accordo di programma ENEA/INFN-MURST, Settore Ambiente. 1998.
- Powell R.W., Tye R.P. Thermal conductivity of lead in the range 180 to 500 °C. Proc. Conference of Thermodynamic and Transport Properties of Fluids. Inst. Mech. Eng. London, 1958. Pp. 182–187.
- Dutchak Ya.I., Panasyuk P.V. Issledovaniye teploprovodnosti nekotorykh metallov pri perekhode iz tverdogo v zhidkoye sostoyaniye [Study of thermal conductivity of some metals during transition from solid to liquid state]. Fizika tverdogo tela – Physics of the Solid State, 1966, vol. 8, issue 9, pp. 2805–2808.
- Touloukian Y.S. et al. Thermal Conductivity: Metallic Elements and Alloys. In: Thermophysical Properties of Matter, Vol. 1. New York – Washington: IFI/Plenum, 1970. 750 p.
- Smithells Metals Reference Book. Thermochemical Data. Chapter 8 “The Physical Properties of Liquid Metals”. 6th edition. Ed. E.A. Brandes. London: Butterworths, 1983. 950 p.
- Hemminger W. Thermal conductivity of lead in the range – 180 to 500 °C. International Journal of Thermophysics, 1989, vol. 10, pp. 765–777. DOI: https://doi.org/10.1007/bf00514474.
- Savchenko I.V. Eksperimental'noye issledovaniye teploprovodnosti i temperaturoprovodnosti rasplavov legkoplavkikh metallov i splavov metodom lazernoy vspyshki. Dis. kandidata fiz.-mat. nauk [Experimental study of thermal conductivity and thermal diffusivity of melts of low-melting metals and alloys using the laser flash method. Diss. cand. phys.-math. sci.]. Novosibirsk, IT SO RAN. Publ., 2011. 128 p.
- Agazhanov A.Sh., Stankus S.V., Savchenko I.V., Samoshkin D.A. Thermal conductivity of lead and bismuth-lead eutectic melts up to 1300 K. Nuclear Engineering and Design, 2024, vol. 423, p. 113166. DOI: 10.1016/j.nucengdes.2024.113166.
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