Abstract
The self-diffusion, viscosity, and surface tension coefficients of liquid nontransition metals near their melting points are considered using a modified hard sphere model. It is shown that, as a rule, the calculated coefficients agree with the experimental data and that the well-known Sutherland relation between self-diffusion and viscosity coefficients and the Born-Green relation between viscosity and surface tension hold true in most cases.
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References
V. I. Subbotin, M. N. Ivanovskii, and M. A. Arnol’dov, Physicochemical Fundamentals of the Application of Liquid-Metal Coolants (Atomizdat,–Moscow, 1970).
G. S. Ershov and V. P. Maiboroda, Diffusion in Metallic Melts (Naukova Dumka, 1990).
R. Kh. Dadashev, Thermodynamics of Surface Phenomena, Ed. by Kh. B. Khokonov (Fizmatlit, Moscow, 2007).
E. E. Shpil’rain, V. A. Fomin, S. N. Skovorod’ko, and G. F. Sokol, Study of the Viscosity of Liquid Metals (Nauka, Moscow, 1983).
G. Kaptay, “A unified equation for the viscosity of pure liquid metals,” Z. Metallkd. 96 (1), 1–8 (2005).
T. Iida, R. Guthrie, M. Isac, and N. Tripathi, “Accurate predictions for the viscosities of several liquid transition metals, plus barium and strontium,” Metallurg. Mater. Trans. B 37, 403–412 (2006).
G. Kaptay, “A new theoretical equation for temperature dependent self-diffusion coefficients of pure liquid metals,” Int. J. Mat. Res. 99 (1), 14–17 (2008).
P. Protopapas, H. C. Andersen, and N. A. D. Parlee, “Theory of transport in liquid metals. I. Calculation of self-diffusion coefficients,” J. Chem. Phys. 59 (1), 15–25 (1973).
P. Protopapas, H. C. Andersen, and N. A. D. Parlee, “Theory of transport in liquid metals. II. Calculation of shear viscosity coefficients,” Chem. Phys. 8 (1), 17–26 (1975).
Y. Waseda, The Structure of Non-Crystalline Materials: Liquid and Amorphous Solids, Ed. by Y. Waseda (McGraw-Hill, New York, 1980).
A. R. Regel’ and V. M. Glazov, Periodic Law and the Physical Properties of Electronic Melts (Nauka, Moscow, 1978).
V. G. Postovalov, E. P. Romanov, V. P. Kondrat’ev, and V. I. Kononenko, “Theory of transfer in liquid metals. Calculation of dynamic viscosity,” Teplofiz. Vys. Temp. 41 (6), 860–869 (2003).
S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1991).
R. J. Speedy, “Diffusion in the hard sphere fluid,” Molec. Phys. 62 (2), 509–515 (1987).
H. J. Saxton and O. D. Sherby, “Viscosity and atomic mobility in liquid metals,” Trans. ASM 55 (1), 826–843 (1962).
A. R. Regel’ and V. M. Glazov, Laws of Structure Formation in Electronic Melts (Nauka, Moscow, 1982).
E. N. Andrade, “A theory of the viscosity of liquids,” Phil. Mag. 17 (112), 497–511 (1934).
V. Heine and D. Weaire, “Theory of adhesion forces and crystalline structures in the pseudopotential scheme,” in The Pseudopotential Concept (McGrw-Hill, New York, 1970), pp. 295–543.
D. K. Belashchenko, “Computer simulation of liquid metals,” Usp. Fiz. Nauk 183 (12), 1281–1322 (2013).
V. G. Postovalov, E. P. Romanov, I. Zh. Sattybaev, and V. P. Kondrat’ev, “Coefficients of self-diffusion and viscosity of some liquid metals,” Rasplavy, No. 4, 42–51 (2012).
V. I. Nizhenko, “Liquid metal density and its temperature dependence,” in Methods of Investigation and Properties the Interfaces of Contacting Phases (Naukova Dumka, Kiev, 1977), pp. 125–163.
I. N. Fridlyander and A. A. Kolpachev, “Viscosity of high-purity aluminum,” Izv. Akad. Nauk SSSR, Ser. Met., No. 4, 38–41 (1980).
N. Yu. Konstantinova, P. S. Popel’, and D. A. Yagodin, “Kinematic viscosity of liquid copper–aluminum alloys,” Teplofiz. Vys. Temp. 47 (3), 354–359 (2009).
M. G. Frohberg, “Viskositätsmessungen an flüssigen metallen und metallegierungen,” Metall. 38 (12), 1152–1156 (1984).
I. Yokoyama, “A relationship between structural, thermodynamic, transport and surface properties of liquid metals: a hard-sphere description,” Physica B 291 (1–2), 145–151 (2000).
A. S. Chauhan, R. Ravi, and R. P. Chhabra, “Self-diffusion in liquid metals,” Chem. Phys. 252 (1–2), 227–236 (2000).
Y. P. Gupta, “On solute diffusion in liquid tin,” Acta Metallurg. 14 (8), 1007–1008 (1966).
G. Mathiak, A. Griesche, K. H. Kraatz, and M. G. Frohberg, “Diffusion in liquid metals,” J. NonCrystal. Solids 205–207, 412–416 (1996).
S. W. Mayer, “A molecular parameter relationship between surface tension and liquid compressibility,” J. Phys. Chem. 67 (10), 2160–2164 (1963).
Y. Waseda and K. T. Jacob, “Refinement of the correlation between isothermal compressibility and surface tension of liquid metals,” Phys. Stat. Sol. (a) 68 (2), K117–K122 (1981).
V. I. Nizhenko and L. I. Floka, Surface Tension of Liquid Metals and Alloys: A Handbook (Metallurgiya, Moscow, 1981).
J. F. Wax, R. Albaki, and J. L. Bretonnet, “Temperature dependence of the diffusion coefficient in liquid alkali metals,” Phys. Rev. B 65, 014301–014309 (2001).
A. V. Samsonnikov, V. P. Kazimirov, A. S. Roik, and V. E. Sokol’skii, “Comparative analysis of the structural models of liquid metals (Na, K, Al) obtained by molecular dynamics and reverse Monte Carlo methods,” Ukr. Khim. Zh. 73 (11), 30–35 (2007).
Sui Yang, Xuping Su, Jianhua Wang, et al., “Molecular dynamics analysis of temperature dependence of liquid metal diffusivity,” Metallurg. Mater. Trans. A 40 (13), 3108–3116 (2009).
S. J. Larsson, C. Roxbergh, and A. Lodding, “Self-diffusion in liquid alkali metals,” Phys. Chem. Liquids 3 (3), 137–146 (1972).
M. W. Ozelton and R. A. Swalin, “Self-diffusion in liquid sodium at constant volume and constant pressure,” Phil. Mag. 18 (153), 441–451 (1968).
Handbook of Thermodynamic and Transport Properties of Alkali Metals, Ed. by R. W. Ohse (Blackwell Scientific, Oxford, 1985).
A. Norden and A. Lodding, “Self-transport electroconvection and effective self-diffusion in liquid rubidium metal,” Z. Naturf. A 22 (2), 215–219 (1967).
H. M. Lu, G. Li, Y. F. Zhu, and Q. Jiang, “Temperature dependence of self-diffusion coefficient in several liquid alkali metals,” J. Non-Cryst. Solids 352 (26–27), 2797–2800 (2006).
J. Petit and N. H. Nachtrieb, “Self-diffusion in liquid gallium,” J. Chem. Phys. 24 (5), 1027–1028 (1956).
E. F. Broome and H. A. Walls, “Self-diffusion measurements in liquid gallium,” Trans. Metall. Soc. AIME 245 (4), 739–741 (1969).
A. Lodding, “Selbstdiffusion in geschmolzenem indiummetall,” Z. Naturf. A 11 (3), 200–203 (1956).
R. E. Barras, H. A. Walls, and A. L. Hines, “Liquid thallium self-diffusion measurements,” Metallurg. Trans. 6 (2), 347–348 (1975).
S. J. Rothman and L. D. Hall, “Diffusion in liquid lead,” Trans. AIME 206 (2), 199–203 (1956).
V. G. Postovalov, E. P. Romanov, and V. P. Kondrat’ev, “On the theory of mass transfer in liquid metals,” Fiz. Met. Metalloved. 107 (1), 3–14 (2009).
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Original Russian Text © V.G. Postovalov, I.Zh. Sattybaev, E.P. Romanov, 2015, published in Rasplavy, 2015, No. 1, pp. 17–28.
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Postovalov, V.G., Sattybaev, I.Z. & Romanov, E.P. On the theory of the thermophysical properties of liquid nontransition metals. Russ. Metall. 2015, 153–161 (2015). https://doi.org/10.1134/S0036029515020111
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DOI: https://doi.org/10.1134/S0036029515020111