The International Association for the Properties of Water and Steam has adopted new formulations for the thermodynamic and transport properties of heavy water. This manuscript describes the development of a formulation for the thermal conductivity of heavy water that was adopted as an international standard in 2021. It is consistent with the equation of state adopted in 2017, revised slightly in 2018, and is valid for fluid states up to 825 K and 250 MPa with uncertainties ranging from 1.5% to 6% depending on the state point. Comparisons with experimental data and with an earlier thermal-conductivity formulation are presented. The 2021 formulation accounts for the critical enhancement of the thermal conductivity, which was not incorporated in the previous formulation. Furthermore, in the zero-density limit, the 2021 formulation is based on thermal conductivity values at temperatures from 250 to 2500 K obtained from the kinetic theory of polyatomic gases. In addition, the 2021 formulation is applicable in a larger range of pressures than the previous formulation.
REFERENCES
1.
M. J.
Assael
, S. A.
Monogenidou
, M. L.
Huber
, R. A.
Perkins
, and J. V.
Sengers
, J. Phys. Chem. Ref. Data
50
, 033102
(2021
).2.
International Association for the Properties of Water and Steam
, IAPWS G5-01(2020), Guideline on the Use of Fundamental Physical Constants and Basic Constants of Water, 2020
, http://www.iapws.org/relguide/fundam.pdf, accessed January 30, 2022.3.
International Association for the Properties of Water and Steam
, IAPWS R18-21, Release on the IAPWS Formulation 2021 for the Thermal Conductivity of Heavy Water, 2021
, http://www.iapws.org/relguide/D2OThCond.html, accessed January 30, 2022.4.
A.
Nagashima
and N.
Matsunaga
, in Proceedings of the 9th International Conference on the Properties of Steam, Munich, 1980
, edited by J.
Straub
and K.
Scheffler
(Pergamon
, Oxford
, 1980
), p. 344
.5.
M.
Ikeda
, Y.
Kageyama
, and A.
Nagashima
, Bull. JSME
20
, 1942
(1977
).6.
R.
Pollak
, Brennst.-Wärme-Kraft
27
, 210
(1975
).7.
P. G.
Hill
, R. D. C.
MacMillan
, and V.
Lee
, J. Phys. Chem. Ref. Data
11
, 1
(1982
).8.
N.
Matsunaga
and A.
Nagashima
, J. Phys. Chem. Ref. Data
12
, 933
(1983
).9.
J.
Kestin
, J. V.
Sengers
, B.
Kamgar-Parsi
, and J. M. H.
Levelt Sengers
, J. Phys. Chem. Ref. Data
13
, 601
(1984
).10.
Release on the IAPS formulation 1984 for the thermodynamic properties of heavy water substance, International Association for the Properties of Water and Steam
,” in Proceedings of 12th International Conference on the Properties of Water and Steam
, edited by H.
White
and J. V.
Sengers
(Begell House
, New York
, 1995
), p. A88
.11.
International Association for the Properties of Water and Steam
, IAPWS R4-84, Revised Release on Viscosity and Thermal Conductivity of Heavy Water Substance, 2007
.12.
S.
Herrig
, M.
Thol
, A. H.
Harvey
, and E. W.
Lemmon
, J. Phys. Chem. Ref. Data
47
, 043102
(2018
).13.
International Association for the Properties of Water and Steam
, IAPWS R16-17(2018), Revised Release on the IAPWS Formulation 2017 for the Thermodynamic Properties of Heavy Water, 2018
, http://www.iapws.org/relguide/Heavy.html, accessed January 30, 2022.14.
R.
Hellmann
and E.
Bich
, Mol. Phys.
115
, 1057
(2017
).15.
International Association for the Properties of Water and Steam
, IAPWS R17-20, Release on the IAPWS Formulation 2020 for the Viscosity of Heavy Water, 2020
, http://www.iapws.org/relguide/D2Ovisc.html, accessed January 30, 2022.16.
M. L.
Huber
, R. A.
Perkins
, D. G.
Friend
, J. V.
Sengers
, M. J.
Assael
, I. N.
Metaxa
, K.
Miyagawa
, R.
Hellmann
, and E.
Vogel
, J. Phys. Chem. Ref. Data
41
, 033102
(2012
).17.
M. J.
Assael
, A. E.
Kalyva
, S. A.
Monogenidou
, M. L.
Huber
, R. A.
Perkins
, D. G.
Friend
, and E. F.
May
, J. Phys. Chem. Ref. Data
47
, 021501
(2018
).18.
M. J.
Assael
, V. K.
Tsalmanis
, N. K.
Dalaouti
, D.
Giakoumakis
, and A.
Nagashima
, in Proceedings of the 13th International Conference on the Properties of Water and Steam, Toronto, 1999
, edited by P. R.
Tremaine
, P. G.
Hill
, D. R.
Irish
, and P. V.
Balakrishnan
(NRC Research Press
, Ottawa
, 2000
), pp. 72
–79
.19.
Y.
Nagasaka
, H.
Hiraiwa
, and A.
Nagashima
, in Proceedings of the 11th International Conference on the Properties of Steam, Prague, 1989
, edited by M.
Píchal
and O.
Šifner
(Hemisphere Publishing Corporation
, New York
, 1990
), p. 125
.20.
R.
Tufeu
, P.
Bury
, and B.
Le Neindre
, J. Chem. Eng. Data
31
, 246
(1986
).21.
L. A.
Curtiss
, D. J.
Frurip
, and M.
Blander
, J. Chem. Phys.
71
, 2703
(1979
).22.
J.
Yata
, T.
Minamiyama
, T.
Kim
, N.
Yokogawa
, and H.
Murai
, in Proceedings of the 9th International Conference on the Properties of Steam, Munich, 1980
, edited by J.
Straub
and K.
Scheffler
(Pergamon
, Oxford
, 1980
), p. 431
.23.
K. I.
Amirkhanov
, A. P.
Adamov
, and U. B.
Magomedov
, Inzh.-Fiz. Zh.
34
(1
), 114
(1978
).24.
Y. L.
Rastorguev
, B. A.
Grigor’ev
, and A. M.
Ishkhanov
, Teploenergetika
22
(7
), 81
(1975
).25.
Y. L.
Rastorguev
, B. A.
Grigor’ev
, and A. M.
Ishkhanov
, in Proceedings of the 9th International Conference on the Properties of Steam, Munich, 1980
, edited by J.
Straub
and K.
Scheffler
(Pergamon
, Oxford
, 1980
), pp. 407
–416
.26.
N. B.
Vargaftik
, Y. K.
Vinogradov
, and N. A.
Vanicheva
, Tr. Mosk. Aviats. Inst. Moskow
319
, 59
(1975
).27.
K. I.
Amirkhanov
, A. P.
Adamov
, and U. B.
Magomedov
, Teplo. Vys. Temp.
12
, 1128
(1974
).28.
A. A.
Tarzimanov
and M. M.
Zainullin
, Teploenergetika
21
(5
), 61
(1974
).29.
N. B.
Vargaftik
, N. A.
Vanicheva
, and L. V.
Yakush
, Inzh.-Fiz. Zh.
25
(2
), 336
(1973
).30.
K. M.
Dijkema
, J. C.
Stouthart
, and D. A.
De Vries
, Wärme Stoffübertragung
5
, 47
(1972
).31.
B.
Le Neindre
, P.
Bury
, R.
Tufeu
, P.
Johannin
, and B.
Vodar
, in Proceedings of the Seventh International Conference on the Properties of Steam
(ASME
, Tokyo
, 1968
), paper E-2.32.
B.
Le Neindre
, P.
Bury
, R.
Tufeu
, and B.
Vodar
, J. Chem. Eng. Data
21
, 265
(1976
).33.
B.
Le Neindre
, P.
Bury
, R.
Tufeu
, P.
Johannin
, and B.
Vodar
, in Proceedings of the Seventh International Conference on the Properties of Steam
(ASME
, Tokyo
, 1968
), paper C-2.34.
B.
Le Neindre
, P.
Johannin
, and B.
Vodar
, C. R. Acad. Sci. Paris
5
, 67
(1965
).35.
C. E.
Baker
and R. S.
Brokaw
, J. Chem. Phys.
40
, 1523
(1964
).36.
N. B.
Vargaftik
and L. S.
Zaitseva
, Inzh.-Fiz. Zh.
6
(5
), 3
(1963
).37.
N. B.
Vargaftik
and O. N.
Oleshuk
, Teploenergetika
9
(12
), 64
(1962
).38.
N. B.
Vargaftik
, O. N.
Oleshuk
, and P. E.
Beljakova
, Kernenergie
3
, 585
(1960
).39.
T. V.
Klassen
, “Thermal conductivity and specific gravity of heavy water
,” in Teploperedacha i Teplovoe Modelirovanie
, edited by M. A.
Mikheev
(1959
).40.
H.
Ziebland
and J. T. A.
Burton
, Int. J. Heat Mass Transfer
1
, 242
(1960
).41.
A. R.
Challoner
and R. W.
Powell
, Proc. R. Soc. London, Ser. A
238
, 90
(1956
).42.
F.
Meyer
and M.
Eigen
, Z. Naturforsch., A
8
, 500
(1953
).43.
C. F.
Bonilla
and G. J.
Wang
, Progr. Rep. December 1950–February 1951, Atomic Energy Division, Columbia University and Du Pont de Nemours DP-12, p. 1. 1951
.44.
S. A.
Monogenidou
, M. J.
Assael
, and M. L.
Huber
, J. Phys. Chem. Ref. Data
47
, 043101
(2018
).45.
M. J.
Assael
, S. K.
Mylona
, M. L.
Huber
, and R. A.
Perkins
, J. Phys. Chem. Ref. Data
41
, 023101
(2012
).46.
P.
Desmarest
and R.
Tufeu
, Int. J. Thermophys.
11
, 1035
(1990
).47.
P.
Desmarest
, R.
Tufeu
, Y.
Garrabos
, and B.
Le Neindre
, Chem. Phys. Lett.
142
, 336
(1987
).48.
P.
Desmarest
, R.
Tufeu
, and B.
Le Neindre
, in Proceedings of the 11th International Conference on the Properties of Water and Steam, Prague
, edited by M.
Píchal
and O.
Šifner
(Hemisphere
, New York
, 1989
), pp. 182
–188
.49.
R.
Tufeu
, P.
Desmarest
, and B.
Le Neindre
, Int. J. Thermophys.
10
, 397
(1989
).50.
International Association for the Properties of Water and Steam
, IAPWS R15-11, Release on the IAPWS Formulation 2011 for the Thermal Conductivity of Ordinary Water Substance, 2011
http://www.iapws.org/relguide/ThCond.html, accessed January 30, 2022.51.
P. T.
Boggs
, R. H.
Byrd
, J. E.
Rogers
, and R. B.
Schnabel
, ODRPACK, software for orthogonal distance regression, NISTIR 4834, National Institute of Standards and Technology
, Gaithersburg, MD
, 1992
.52.
G. A.
Olchowy
and J. V.
Sengers
, Int. J. Thermophys.
10
, 417
(1989
).53.
K. N.
Marsh
, R. A.
Perkins
, and M. L. V.
Ramires
, J. Chem. Eng. Data
47
, 932
(2002
).54.
R. A.
Perkins
, M. L. V.
Ramires
, C. A.
Nieto de Castro
, and L.
Cusco
, J. Chem. Eng. Data
47
, 1263
(2002
).55.
R. A.
Perkins
, J. Chem. Eng. Data
47
, 1272
(2002
).56.
M. L.
Huber
, A.
Laesecke
, and R. A.
Perkins
, Ind. Eng. Chem. Res.
42
, 3163
(2003
).57.
M. L.
Huber
, A.
Laesecke
, and R.
Perkins
, Energy Fuels
18
, 968
(2004
).58.
M. L.
Huber
and R. A.
Perkins
, Fluid Phase Equilib.
227
, 47
(2005
).59.
R. A.
Perkins
and M. L.
Huber
, J. Chem. Eng. Data
51
, 898
(2006
).60.
R. A.
Perkins
, U.
Hammerschmidt
, and M. L.
Huber
, J. Chem. Eng. Data
53
, 2120
(2008
).61.
J. V.
Sengers
, R. A.
Perkins
, M. L.
Huber
, and D. G.
Friend
, Int. J. Thermophys.
30
, 374
(2009
).62.
M. L.
Huber
, R. A.
Perkins
, A.
Laesecke
, D. G.
Friend
, J. V.
Sengers
, M. J.
Assael
, I. N.
Metaxa
, E.
Vogel
, R.
Mareš
, and K.
Miyagawa
, J. Phys. Chem. Ref. Data
38
, 101
(2009
).63.
A.
Kostrowicka Wyczalkowska
, K. S.
Adulkadirova
, M. A.
Anisimov
, and J. V.
Sengers
, J. Chem. Phys.
113
, 4985
(2000
).64.
International Association for the Properties of Water and Steam
, IAPWS R12-08, Release on the IAPWS Formulation 2008 for the Viscosity of Ordinary Water Substance, 2008
, http://www.iapws.org/relguide/viscosity.html, accessed January 30, 2022.65.
J. V.
Sengers
, R. A.
Perkins
, M. L.
Huber
, and B.
Le Neindre
, Int. J. Thermophys.
30
, 1453
(2009
).66.
International Association for the Properties of Water and Steam
, Revised Release on the IAPS Formulation 1985 for the Thermal Conductivity of Ordinary Water Substance, 2008
.67.
B.
Le Neindre
, R.
Tufeu
, and A. M.
Sirota
, in Experimental Thermodynamics
, edited by W. A.
Wakeham
, A.
Nagashima
, and J. V.
Sengers
(Blackwell Scientific
, Oxford, UK
, 1991
), Chap. 6, Vol. III, pp. 111
–160
.68.
H.
Preston-Thomas
, Metrologia
27
, 3
(1990
).69.
H.
Preston-Thomas
, Metrologia
27
, 107
(1990
).70.
R. A.
Svehla
, “Estimated viscosities and thermal conductivities of gases at high temperatures
,” NASA Technical Report No. TR-R-132, 1962
.71.
R. S.
Brokaw
, NASA Technical Memorandum No. TM-X-52478, Statistical Mechanical Theories of Transport Properties, 1968
.72.
J. V.
Sengers
, in Supercritical Fluids: Fundamentals for Applications
, edited by E.
Kiran
and J. M. H.
Levelt Sengers
(Kluwer
, Dordrecht
, 1994
), pp. 231
–271
.73.
S.
Herrig
, M.Sc. thesis, Ruhr-Universität Bochum
, Bochum, Germany
, 2013
.74.
A. S.
Friedman
and L.
Haar
, J. Chem. Phys.
22
, 2051
(1954
).75.
I.
Simkó
, T.
Furtenbacher
, J.
Hrubý
, N. F.
Zobov
, O. L.
Polyansky
, J.
Tennyson
, R. R.
Gamache
, T.
Szidarovsky
, N.
Dénes
, and A. G.
Császár
, J. Phys. Chem. Ref. Data
46
, 023104
(2017
).© 2022 by the U.S. Secretary of Commerce on behalf of the United States. All rights reserved.
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