Abstract
New formulations for the viscosity and thermal conductivity for nitrogen, oxygen, argon, and air are given. Air is treated as a pseudo-pure fluid using an approach adopted from previous research on the equation of state for air. The equations are valid over all liquid and vapor states, and a simplified cross-over equation was used to model the behavior of the critical enhancement for thermal conductivity. The extrapolation behavior of the equations for nitrogen and argon well below their triple points was monitored so that both could be used as reference equations for extended corresponding states applications. The uncertainties of calculated values from the equations are generally within 2% for nitrogen and argon and within 5% for oxygen and air, except in the critical region where the uncertainties are higher. Comparisons with the available experimental data are given.
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REFERENCES
J. B. Howley, J. W. Magee, and W. M. Haynes, Int. J. Thermophys. 15:801(1994).
J. W. Magee, Int. J. Thermophys. 15:849(1994).
B. A. Younglove and N. V. Frederick, Int. J. Thermophys. 13:1033(1992).
D. E. Diller, A. S. Aragon, and A. Laesecke, Cryogenics 31:1070(1991).
R. A. Perkins, H. M. Roder, and C. A. Nieto de Castro, J. Res. NIST 96:247(1991).
R. A. Perkins, H. M. Roder, D. G. Friend, and C. A. Nieto de Castro, Physica A 173:332(1991).
H. M. Roder, R. A. Perkins, and C. A. Nieto de Castro, NISTIR 3902(1988).
R. A. Perkins, D. G. Friend, H. M. Roder, and C. A. Nieto de Castro, Int. J. Thermophys. 12:965(1991).
H. M. Roder, R. A. Perkins, and A. Laesecke, J. Res. NIST 105:221(2000).
R. A. Perkins and M. T. Cieszkiewicz, NISTIR 3961(1991).
R. T Jacobsen, W. P. Clarke, S. G. Penoncello, and R. D. McCarty, Int. J. Thermophys. 11:169(1990).
R. T Jacobsen, S. G. Penoncello, S. W. Beyerlein, W. P. Clarke, and E. W. Lemmon, Fluid Phase Equilib. 79:113(1992).
M. D. Panasiti, E. W. Lemmon, S. G. Penoncello, R. T Jacobsen, and D. G. Friend, Int. J. Thermophys. 20:217(1999).
E. W. Lemmon, R. T Jacobsen, S. G. Penoncello, and D. G. Friend, J. Phys. Chem. Ref. Data 29:331(2000).
E. W. Lemmon and S. G. Penoncello, Adv. Cryo. Eng. 39:1927(1994).
E. W. Lemmon, M. O. McLinden, and M. L. Huber, NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 7.0, National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, Maryland, 2002.
G. A. Olchowy and J. V. Sengers, Int. J. Thermophys. 10:417(1989).
E. W. Lemmon and R. T Jacobsen, J. Phys. Chem. Ref. Data 29:521(2000).
K. Stephan and R. Krauss, J. Phys. Chem. Ref. Data 16:993(1987).
A. Laesecke, R. Krauss, K. Stephan, and W. Wagner, J. Phys. Chem. Ref. Data 19:1089(1990).
B. A. Younglove and H. J. M. Hanley, J. Phys. Chem. Ref. Data 15:1323(1986).
B. A. Younglove, J. Phys. Chem. Ref. Data, Suppl. 11:1(1982).
K. Stephan and A. Laesecke, J. Phys. Chem. Ref. Data 14:227(1985).
R. Span, E. W. Lemmon, R. T Jacobsen, W. Wagner, and A. Yokozeki, J. Phys. Chem. Ref. Data 29:1361(2000).
C. Tegeler, R. Span, and W. Wagner, J. Phys. Chem. Ref. Data 28:779(1999).
R. Schmidt and W. Wagner, Fluid Phase Equilib. 19:175(1985).
H. Abachi, J. Molenat, and P. Malbrunot, Phys. Lett. A 80:171(1980).
K. I. Amirkhanov and A. P. Adamov, Teploenergetika 10:77(1963).
K. I. Amirkhanov, A. P. Adamov, and G. D. Gasanov, Inz.-Fiz. Zh. 22:835(1972).
K. I. Amirkhanov, A. P. Adamov, and G. D. Gasanov, Therm. Eng. 17:84(1970).
M. J. Assael and W. A. Wakeham, J. Chem. Soc., Faraday Trans. 1 77:697(1981).
M. J. Assael, M. Dix, A. Lucas, and W. A. Wakeham, J. Chem. Soc., Faraday Trans. 1 77:439(1981).
R. A. Aziz, J. Chem. Phys. 99:4518(1993).
B. Y. Baharudin, D. A. Jackson, and P. E. Schoen, Phys. Lett. A 51:409(1975).
B. J. Bailey and K. Kellner, Physica 39:444(1968).
J. D. Baron, J. G. Roof, and F. W. Wells, J. Chem. Eng. Data 4:283(1959).
J. A. Bearden, Phys. Rev. 56:1023(1939).
C. F. Bonilla, R. D. Brooks, and P. L. Walker, in Proc. General Discussion on Heat Transfer II (Institution of Mechanical Engineers, London, 1951), p. 167.
J. P. Boon and G. Thomaes, Physica 29:208(1963).
J. P. Boon, J. C. Legros, and G. Thomaes, Physica 33:547(1967).
E. Borovik, Zh. Ek. Theor. Fiz. 17:328(1947).
E. Borovik, A. Matveev, and E. Panina, Zh. Tekh. Fiz. 10:988(1940).
J. H. Boyd, Phys. Rev. 35:1284(1930).
T. J. S. Brain, Int. J. Heat Mass Transfer 10:737(1967).
H. Braune, R. Basch, and W. Wentzel, Z. Phys. Chem. A 137:176(1928).
J. C. G. Calado, U. V. Mardolcar, C. A. Nieto de Castro, H. M. Roder, and W. A. Wakeham, Physica A 143:314(1987).
L. T. Carmichael and B. H. Sage, AIChE J. 12:559(1966).
D. L. Carroll, H. Y. Lo, and L. I. Stiel, J. Chem. Eng. Data 13:53(1968).
S. H. P. Chen and S. C. Saxena, High Temp. Sci. 5:206(1973).
S. H. P. Chen and S. C. Saxena, Mol. Phys. 29:455(1975).
G. L. Chierici and A. Paratella, AIChE J. 15:786(1969).
A. G. Clarke and E. B. Smith, J. Chem. Phys. 48:3988(1968).
A. G. Clarke and E. B. Smith, J. Chem. Phys. 51:4156(1969).
A. A. Clifford, J. Kestin, and W. A. Wakeham, Physica A 97:287(1979).
A. A. Clifford, P. Gray, A. I. Johns, A. C. Scott, and J. T. R. Watson, J. Chem. Soc., Faraday Trans. 1 77:2679(1981).
A. A. Clifford, P. Gray, and A. C. Scott, J. Chem. Soc., Faraday Trans. 1 71:875(1975).
P. Correia, B. Schramm, and K. Schaefer, Ber. Bunsenges. Phys. Chem. 72:393(1968).
R. A. Dawe and E. B. Smith, J. Chem. Phys. 52:693(1970).
A. de Bock, W. Grevendonk, and H. Awouters, Physica 34:49(1967).
A. de Bock, W. Grevendonk, and W. Herreman, Physica 37:227(1967).
C. A. N. de Castro and H. M. Roder, J. Res. Natl. Bur. Stand. 86:293(1981).
J. J. de Groot, J. Kestin, H. Sookiazian, and W. A. Wakeham, Physica A (Amsterdam) 92:117(1978).
A. G. De Rocco and J. O. Halford, J. Chem. Phys. 28:1152(1958).
B. G. Dickins, Proc. Roy. Soc. Ser. A 143:517(1934).
D. E. Diller, Physica A 119:92(1983).
R. DiPippo and J. Kestin, Proc. Symp. Thermophys. Prop. 4:304(1968).
R. DiPippo, J. Kestin, and J. H. Whitelaw, Physica 32:2064(1966).
R. DiPippo, J. Kestin, and K. Oguchi, J. Chem. Phys. 46:4758(1968).
Y. Y. Duan, L. Q. Sun, L. Shi, M. S. Zhu, and L. Z. Han, J. Chem. Eng. Data 42:890(1997).
C. P. Ellis and C. J. G. Raw, J. Chem. Phys. 30:574(1959).
C. Evers, H. W. Loesch, and W. Wagner, Int. J. Thermophys. 23:1411(2002).
F. M. Faubert and G. S. Springer, J. Chem. Phys. 57:2333(1972).
G. P. Filippova and I. P. Ishkin, Kislorod 2:38(1959).
G. P. Filippova and I. P. Ishkin, in The Viscosity of Air, Nitrogen, and Argon at Low Temperatures and Pressures to 150 Atm, Foreign Technol. Div., Transl. FTD-TT-62-113, 8 pp. (1962).
R. Fleeter, J. Kestin, and W. A. Wakeham, Physica A 103:521(1980).
G. P. Flynn, R. V. Hanks, N. A. Lemaire, and J. Ross, J. Chem. Phys. 38:154(1963).
S. Forster, Cryogenics 3:176(1963).
E. U. Franck, Z. Elektrochem. 55:636(1951).
R. S. Gambhir, J. M. Gandhi, and S. C. Saxena, Indian J. Pure Appl. Phys. 5:457(1967).
H. Geier and K. Schafer, Allg. Warmetech. 10:70(1961).
S. F. Gerf and G. I. Galkov, Zh. Tekh. Fiz. 10:725(1940).
I. Glassman and C. F. Bonilla, Chem. Eng. Prog. 49:153(1953).
K. Goldman, Physica 29:499(1963).
J. Golubev and I. Kurin, Teploenergetika 8:83(1974).
I. F. Golubev and M. V. Kalzsina, Gazov. Promst. 9:41(1964).
I. F. Golubev, Teploenergetika 10:78(1963).
I. F. Golubev, Zh. Tekh. Fiz. 8:1932(1938).
I. F. Golubev, N. E. Gnezdilov, and G. V. Brodskaya, in Viscosity of Air and Carbon Dioxide at Different Temperatures and Pressures, Khimia i Tekhnologia Produktov Organich. Sinteza. Fiziko-Khimich. Issledovania Part 8, Moscow, GIAP (1971), pp. 48-53.
I. F. Golubev, in Viscosity of Gases and Gas Mixtures. A Handbook (Israel Program Sci. Transl., 1970), 245 pp.
G. E. Goring and D. P. Eagan, Can. J. Chem. Eng. 49:25(1971).
D. W. Gough, G. P. Matthews, and E. B. Smith, J. Chem. Soc., Faraday Trans. 1 72:645(1976).
J. A. Gracki, G. P. Flynn, and J. Ross, J. Chem. Phys. 51:3856(1969).
P. Gray and P. G. Wright, Proc. Roy. Soc. London Ser. A 263:161(1961).
H. Gregory and S. Marshall, Proc. Roy. Soc. Ser. A 118:594(1928).
W. Grevendonk, W. Herreman, and A. de Bock, Physica 46:600(1970).
W. Grevendonk, W. Herreman, W. de Pesseroey, and A. de Bock, Physica 40:207(1968).
F. A. Guevara, B. B. McInteer, and W. E. Wageman, Phys. Fluids 12:2493(1969).
J. W. Haarman, Transport Phenomena, AIP Conf. Proc. 11:193(1973).
G. Hammann, Ann. Phys., Series 5 32:593(1938).
U. Hammerschmidt, Int. J. Thermophys. 16:1203(1995).
K. C. Hansen, L.-H. Tsao, and T. M. Aminabhavi, J. Chem. Eng. Data 40:18(1995).
E. N. Haran, G. C. Maitland, M. Mustafa, and W. A. Wakeham, Ber. Bunsenges. Phys. Chem. 87:657(1983).
W. M. Haynes, Physica (Amsterdam) 67:440(1973).
W. M. Haynes, Physica A (Amsterdam) 89:569(1977).
J. Hellemans, H. Zink, and O. van Paemel, Physica 46:395(1970).
J. Hellemans, H. Zink, and O. van Paemel, Physica 47:45(1970).
J. M. Hellemans, J. Kestin, and S. T. Ro, Physica 65:362(1973).
J. M. Hellemans, J. Kestin, and S. T. Ro, Physica 71:1(1974).
A. Hobley, G. P. Matthews, and A. Townsend, Int. J. Thermophys. 10:1165(1989).
J. H. B. Hoogland, H. R. van den Berg, and N. J. Trappeniers, Physica A 134:169(1985).
J. J. Hurly, Private communication (National Institute of Standards and Technology, Gaithersburg, Maryland, 2002).
L. D. Ikenberry and S. A. Rice, J. Chem. Phys. 39:1561(1963).
N. Imaishi, J. Kestin, and W. A. Wakeham, Physica A 123:50(1984).
J. B. Irving, D. T. Jamieson, and D. S. Paget, Trans. Inst. Chem. Eng. 51:10(1973).
Z. A. Ivanova, N. V. Tsederberg, and V. N. Popov, Teploenergetika 14:74(1967).
H. Iwasaki and J. Kestin, Physica 29:1345(1963).
H. Iwasaki, Sci. Rep. Res. Inst., Tohoku Univ., Ser. A 6:296(1954).
H. Iwasaki, Sci. Rep. Res. Inst., Tohoku Univ., Ser. A 3:247(1951).
H. Iwasaki, J. Kestin, and A. Nagashima, J. Chem. Phys. 40:2988(1964).
P. C. Jain and S. C. Saxena, Mol. Phys. 33:133(1977).
P. Johannin and B. Vodar, Ind. Eng. Chem. 49:2040(1957).
P. Johannin, J. Rech. C. N. R. S. 43:116(1958).
A. I. Johns, S. Rashid, L. Rowan, J. T. R. Watson, and A. A. Clifford, Int. J. Thermophys. 9:3(1988).
A. I. Johns, S. Rashid, T. R. Watson, and A. A. Clifford, J. Chem. Soc., Faraday Trans. 1 82:2235(1986).
H. L. Johnston and E. R. Grilly, J. Chem. Phys. 14:233(1946).
H. L. Johnston and E. R. Grilly, J. Phys. Chem. 46:948(1942).
H. L. Johnston and K. E. McCloskey, J. Phys. Chem. 44:1038(1940).
H. L. Johnston, R. W. Mattox, and R. W. Powers, NACA TN 2546:1(1951).
A. S. Kalelkar and J. Kestin, J. Chem. Phys. 52:4248(1970).
W. G. Kannuluik and E. H. Carman, Aust. J. Sci. Res. A 4:305(1951).
W. G. Kannuluik and L. H. Martin, Proc. Roy. Soc. Ser. A 144:496(1934).
J. T. F. Kao and R. Kobayashi, J. Chem. Phys. 47:2836(1967).
G. Kellstroem, Ark. Mat., Astron. Fys. A 27:1(1941).
J. Kestin and A. Nagashima, J. Chem. Phys. 40:3648(1964).
J. Kestin and H. E. Wang, Trans. ASME 80:11(1958).
J. Kestin and J. Yata, J. Chem. Phys. 49:4780(1968).
J. Kestin and J. H. Whitelaw, Int. J. Heat Mass Transfer 7:1245(1964).
J. Kestin and J. H. Whitelaw, Physica 29:335(1963).
J. Kestin and S. T. Ro, Ber. Bunsenges. Phys. Chem. 80:619(1976).
J. Kestin and S. T. Ro, Ber. Bunsenges. Phys. Chem. 86:948(1982).
J. Kestin and W. Leidenfrost, Physica 25:1033(1959).
J. Kestin and W. Leidenfrost, Thermodyn. Transp. Prop. Gases, Liq., Solids, Symposium on Thermal Properties 321(1959).
J. Kestin and W. A. Wakeham, Ber. Bunsenges. Phys. Chem. 83:573(1979).
J. Kestin, E. Paykoc, and J. V. Sengers, Physica 54:1(1971).
J. Kestin, H. E. Khalifa, and W. A. Wakeham, Physica A 90:215(1978).
J. Kestin, H. E. Khalifa, S. T. Ro, and W. A. Wakeham, Physica A 88:242(1977).
J. Kestin, R. Paul, A. A. Clifford, and W. A. Wakeham, Physica A 100:349(1980).
J. Kestin, S. T. Ro, and W. A. Wakeham, Ber. Bunsenges. Phys. Chem. 86:753(1982).
J. Kestin, S. T. Ro, and W. A. Wakeham, J. Chem. Phys. 56:4036(1972).
J. Kestin, S. T. Ro, and W. A. Wakeham, J. Chem. Phys. 56:4086(1972).
J. Kestin, S. T. Ro, and W. A. Wakeham, J. Chem. Phys. 56:4119(1972).
J. Kestin, S. T. Ro, and W. A. Wakeham, J. Chem. Phys. 56:5837(1972).
J. Kestin, W. Wakeham, and K. Watanabe, J. Chem. Phys. 53:3773(1970).
F. G. Keyes and D. J. Sandell, Trans. ASME 72:767(1950).
F. G. Keyes and R. G. Vines, J. Heat Transfer, Trans. ASME C 87:177(1965).
F. G. Keyes, Trans. ASME 76:809(1954).
F. G. Keyes, Trans. ASME 77:1395(1955).
F. G. Keyes, Trans. ASME 73:597(1951).
R. Kiyama and T. Makita, Rev. Phys. Chem. Japan 22:49(1952).
R. Kiyama and T. Makita, Rev. Phys. Chem. Japan 26:70(1956).
H. Kobayashi and K. Kurase, Keiryo Kenkyusho Hokoku 26:83(1977).
V. Y. Kompaneets, Sb. Nauchn. Rab., Leningr. Inst. Mekh. Sel. Khoz. 9:113(1953).
I. Kurin and I. Golubev, Teploenergetika 21:84(1974).
B. Latto and M. W. Saunders, J. Mech. Eng. Sci. 15:266(1973).
A. V. Lavushchev and V. E. Lyusternik, High Temp. 16:172(1978).
A. V. Lavushchev and V. E. Lyusternik, Russ. J. Phys. Chem. 50:1795(1976).
F. Lazarre and B. Vodar, Proc. Joint Conf. Thermodyn. Trans. Prop. Fluids, London 159(1957).
B. Le Neindre, Int. J. Heat Mass Transfer 15:1(1972).
B. Le Neindre, P. Bury, R. Tufeu, P. Johannin, and B. Vodar, Therm. Conduct. 7:579(1968).
B. Le Neindre, R. Tufeu, P. Bury, P. Johannin, and B. Vodar, Therm. Conduct. 8:75(1969).
B. Le Neindre, Y. Garrabos, and R. Tufeu, Physica A 156:512(1989).
J. M. Lenoir and E. W. Comings, Chem. Eng. Prog. 47:223(1951).
J. M. Lenoir, W. A. Junk, and E. W. Comings, Chem. Eng. Prog. 49:539(1953).
T. D. Ling and M. Van Winkle, Ind. Eng. Chem. 3:82(1958).
B. A. Lowry, S. A. Rice, and P. Gray, J. Chem. Phys. 40:3673(1964).
V. I. Lukin, B. A. Ivakin, and P. E. Suetin, Sov. Phys. Tech. Phys. 28:597(1983).
G. C. Maitland and E. B. Smith, J. Chem. Eng. Data 17:150(1972).
G. C. Maitland and E. B. Smith, J. Chem. Soc., Faraday Trans. 1 70:1191(1974).
G. C. Maitland, M. Mustafa, and W. A. Wakeham, J. Chem. Soc., Faraday Trans. 1 79:163(1983).
R. A. Makavetskas, V. N. Popov, and N. V. Tsederberg, High Temp. 1:169(1963).
T. Makita, Rev. Phys. Chem. Japan 27:16(1957).
T. Makita, in The Viscosity of Gases under High Pressure (Mem. Fac. Ind. Arts, Kyoto Tech. Univ., Sci. Technol., 1955), Vol. 4, p. 19.
P. Malbrunot, A. Boyer, and E. Charles, Phys. Rev. A 27:1523(1983).
U. V. Mardolcar, C. A. Nieto de Castro, and W. A. Wakeham, Int. J. Thermophys. 7:259(1986).
G. P. Matthews, C. M. S. R. Thomas, A. N. Dufty, and E. B. Smith, J. Chem. Soc., Faraday Trans. 1 72:238(1976).
A. Michels and A. Botzen, Physica 19:585(1953).
A. Michels and R. O. Gibson, Proc. Roy. Soc. Ser. A 134:288(1932).
A. Michels, A. Botzen, A. S. Friedman, and J. V. Sengers, Physica (Amsterdam) 22:121(1956).
A. Michels, A. Botzen, and W. Schuurman, Physica 20:1141(1954).
A. Michels, J. V. Sengers, and L. J. M. van de Klundert, Physica 29:149(1963).
J. Millat, M. Mustafa, M. Ross, W. A. Wakeham, and M. Zalaf, Physica A 145:461(1987).
J. Millat, M. J. Ross, and W. A. Wakeham, Physica A 159:28(1989).
D. Misic and G. Thodos, AIChE J. 11:650(1965).
R. Mostert, H. R. van den Berg, and P. S. van der Gulik, Int. J. Thermophys. 11:597(1990).
R. Mostert, P. S. van der Gulik, and H. R. van den Berg, Physica A 156:921(1989).
J. R. Moszynski and B. P. Singh, Proc. Symp. Thermophys. Prop. 6:22(1973).
R. W. Moulton and W. L. Beuschlein, Trans. AIChE 36:113(1940).
R. A. Mustafaev, J. Eng. Phys. 22:591(1972).
A. G. Nasini and G. Pastonesi, Gazz. Chim. Ital. 63:821(1933).
D. G. Naugle, J. Chem. Phys. 44:741(1966).
D. G. Naugle, J. H. Lunsford, and J. R. Singer, J. Chem. Phys. 43:4669(1966).
W. Nothdurft, Ann. Phys., Series 5 28:137(1937).
R. L. Nuttall and D. C. Ginnings, J. Res. Natl. Bur. Stand. 58:271(1957).
J. Patek and J. Klomfar, Fluid Phase Equilib. 198:147(2002).
A. N. G. Pereira and C. J. G. Raw, Phys. Fluids 6:1091(1963).
A. Perez Masia and A. Roig, An. R. Soc. Esp. Fis. Quim. B 54:639(1958).
R. W. Powers, R. W. Mattox, and H. L. Johnston, J. Am. Chem. Soc. 76:5938(1954).
S. Prosad, Brit. J. Appl. Phys. 3:58(1952).
V. A. Rabinovich, A. A. Vasserman, V. I. Nedostup, and L. S. Veksler, in GS SSD (Izd. Stand. Moscow, 1976).
C. J. G. Raw and C. P. Ellis, J. Chem. Phys. 28:1198(1958).
B. G. Reynes and G. Thodos, J. Chem. Eng. Data 11:137(1966).
E. G. Reynes and G. Thodos, Physica 30:1529(1964).
R. G. Richard and I. R. Shankland, Int. J. Thermophys. 10:673(1989).
M. Rigby and E. B. Smith, Trans. Faraday Soc. 62:54(1966).
H. M. Roder, J. Res. Natl. Bur. Stand. 86:457(1981).
H. M. Roder, J. Res. Natl. Bur. Stand. 87:279(1982).
H. M. Roder, in The Thermal Conductivity of Air at Low Temperatures and Low Pressures, Natl. Bur. Stand., Cryog. Eng. Lab. Note 66-7, 13 pp. (1966).
B. M. Rosenbaum, S. Oshen, and G. Thodos, J. Chem. Phys. 44:2831(1966).
J. F. Ross and G. M. Brown, Ind. Eng. Chem. 49:2026(1957).
A. J. Rothman and L. A. Bromley, Ind. Eng. Chem. 47:899(1955).
N. S. Rudenko and L. W. Schubnikow, Phys. Z. Sowjetunion 6:470(1934).
N. S. Rudenko, Zh. Ek. Theor. Fiz. 9:1078(1939).
W. M. Rutherford, J. Chem. Eng. Data 29:163(1984).
Y. Saji and T. Okuda, Adv. Cryo. Eng. 10:209(1965).
M. P. Saksena and S. C. Saxena, Phys. Fluids 9:1595(1966).
S. C. Saxena and G. P. Gupta, Progr. Astronaut. Aeron. 23:45(1970).
V. K. Saxena and S. C. Saxena, Chem. Phys. Lett. 2:44(1968).
S. C. Saxena and S. H. P. Chen, Mol. Phys. 29:1507(1975).
K. Schafer and F. W. Reiter, Z. Elektrochem. 61:1230(1957).
E. U. Schluender, Chem.-Ing.-Tech. 36:115(1964).
J.-P. Schlumpf, F. Lazarre, and P. Viallet, J. Chim. Phys. 72:631(1975).
W. F. Schottky, Z. Elektrochem. 66:889(1952).
B. Schramm, Allg. Warmetech. 12:125(1964).
A. C. Scott, A. I. Johns, J. J. R. Watson, and A. A. Clifford, Int. J. Thermophys. 2:103(1981).
H. Senftleben, Z. Angew. Phys. 16:111(1963).
H. Senftleben, Z. Angew. Phys. 17:86(1964).
A. G. Shashkov, N. A. Nesterov, V. M. Sudnik, and V. I. Aleinikova, Inzh.-Fiz. Zh. 30:669(1976).
R. I. Shepeleva and I. F. Golubev, Gazov. Promst. 13:44(1968).
V. P. Slyusar, V. M. Tretyakov, and N. S. Rudenko, Ukr. Fiz. Zh. 22:1070(1977).
V. P. Slyusar, V. M. Tretyakov, and N. S. Rudenko, Fiz. Nizk. Temp. 1:1159(1975).
E. F. II Smiley, Catholic University of America Press, Washington, D.C. (1957).
G. S. Springer and E. W. Wingeier, J. Chem. Phys. 59:2747(1973).
E. A. Stolyarov, V. V. Ipatjer, and V. P. Theodorowitsch, Zh. Fiz. Khim. 24:166(1950).
L. Sun, J. E. S. Venart, and R. C. Prasad, Int. J. Thermophys. 23:1487(2002).
L. Sun, J. E. S. Venart, and R. C. Prasad, Int. J. Thermophys. 23:357(2002).
B. P. Sutherland and O. Maass, Can. J. Res. 6:428(1932).
A. A. Tarzimanov and R. S. Salmanov, Teplofiz. Vys. Temp. 15:912(1977).
A. A. Tarzimanov and V. A. Arslanov, Tr. Kazan. Khim.-Tekhnol. Inst. 47:157(1971).
A. A. Tarzimanov and V. S. Lozovoi, Kazan' Chem.-Technol. Inst 39:45(1968).
W. J. Taylor and H. L. Johnston, J. Chem. Phys. 14:219(1946).
B. W. Tiesinga, E. Sakonidou, H. R. Van den Berg, J. Luettmer-Strathmann, and J. V. Sengers, J. Chem. Phys. 101:6944(1994).
D. L. Timrot, M. A. Serednitskaya, and S. A. Traktueva, Teploenergetika 16:83(1969).
D. L. Timrot, M. A. Serednitskaya, and S. A. Traktueva, Teploenergetika 22:84(1974).
D. L. Timrot, M. A. Serednitskaya, and S. A. Traktueva, Teploenergetika 22:84(1975).
N. J. Trappeniers, P. S. van der Gulik, and H. van den Hooff, Chem. Phys. Lett. 70:438(1980).
M. Trautz and A. Melster, Ann. Phys. (Leipzig) 7:409(1930).
M. Trautz and R. Heberling, Ann. Phys., Series 5 10:155(1931).
M. Trautz and R. Zink, Ann. Phys. (Leipzig) 7:427(1930).
N. V. Tsederberg and D. L. Timrot, Sov. Phys. Tech. Phys. 1:1791(1957).
N. V. Tsederberg and Z. A. Ivanova, Teploenergetika 18:69(1971).
R. Tufeu and B. Le Neindre, Int. J. Thermophys. 1:375(1980).
R. Tufeu and B. Le Neindre, Inz.-Fiz. Zh. 36:472(1979).
A. Uhlir, Jr., J. Chem. Phys. 20:463(1952).
P. S. van der Gulik and N. J. Trappeniers, Physica A 135:1(1986).
K. S. Van Dyke, Phys. Rev. 21:250(1923).
A. van Itterbeek and M. A. Claes, Physica 3:275(1936).
A. van Itterbeek, H. Zink, and J. Hellemans, Physica (Amsterdam) 32:489(1966).
A. van Itterbeek, J. Hellemans, H. Zink, and M. van Cauteren, Physica 32:2171(1966).
N. A. Vanicheva, L. S. Zaitseva, and L. V. Yakush, Inzh.-Fiz. Zh. 49:94(1985).
N. B. Vargaftik and K. Zimina, High Temp. 2:782(1964).
N. B. Vargaftik and N. K. Zimina, Teplofizika Vysokikh Temperatur 2:716(1964).
N. B. Vargaftik and O. N. Oleshchuk, Izv. Vses. Teplotekh. Inst. 15:7(1946).
J. Vermesse and D. Vidal, Compt. Rend. Acad. Sci. Paris 277:191(1973).
J. Vermesse, Ann. Phys. (Paris) 4:245(1969).
J. Vermesse, P. Johannin, and B. Vodar, Compt. Rend. Acad. Sci. Paris 256:3016(1963).
R. G. Vines, Trans. ASME 82:48(1960).
E. Vogel, Ber. Bunsenges. Phys. Chem. 88:997(1984).
E. Vogel, T. Strehlow, J. Millat, and W. A. Wakeham, Z. Phys. Chem. 270:1145(1989).
L. A. Weber, Int. J. Thermophys. 3:117(1982).
A. A. Westenberg and N. deHaas, Phys. Fluids 5:266(1962).
A. A. Westenberg and N. deHaas, Phys. Fluids 6:617(1963).
J. Wilhelm and E. Vogel, Int. J. Thermophys. 21:301(2000).
R. Wobser and Fr. Muller, Kolloid-Beihefte 52:165(1941).
K.-L. Yen, Phil. Mag. 38:582(1919).
M. Yorizane, S. Yoshimura, H. Masuoka, and H. Yoshida, Ind. Eng. Chem. Fundam. 22:454(1983).
N. F. Zhdanova, Sov. Phys. JETP 4:749(1957).
X. Y. Zheng, S. Yamamoto, H. Yoshida, H. Masuoka, and M. Yorizane, J. Chem. Eng. Japan 17:237(1984).
H. Ziebland and J. T. A. Burton, Brit. J. Appl. Phys. 6:416(1955).
H. Ziebland and J. T. A. Burton, Brit. J. Appl. Phys. 9:52(1958).
H. Ziebland and K. N. Marsh, Pure Appl. Chem. 53:1863(1977).
V. N. Zozulya and Yu. P. Blagoi, Sov. Phys.-JETP 39:99(1974).
E. W. Lemmon and R. T Jacobsen, A new functional form and fitting techniques for equations of state with application to pentafluoroethane (HFC-125), submitted to J. Phys. Chem. Ref. Data (2004).
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Lemmon, E.W., Jacobsen, R.T. Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air. International Journal of Thermophysics 25, 21–69 (2004). https://doi.org/10.1023/B:IJOT.0000022327.04529.f3
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DOI: https://doi.org/10.1023/B:IJOT.0000022327.04529.f3