• Українська
  • English

< | >

Current issue   Ukr. J. Phys. 2017, Vol. 62, N 8, p. 672-678
https://doi.org/10.15407/ujpe62.08.0672    Paper

Makhlaichuk V.N.

I.I. Mechnikov National University of Odesa
(2, Dvoryans’ka Str., Odesa 65026, Ukraine; e-mail: interaktiv@ukr.net)

Kinematic Shear Viscosity of Liquid Alkaline Metals

Section: Soft Matter
Original Author's Text: Ukrainian/English

Abstract: The origin of kinematic shear viscosity in liquid alkaline metals has been studied. It is shown
that, since the depth of the well in the potential of pair interaction between ions is small in
comparison with the energy of thermal motion of those ions, the mechanism of kinematic shear
viscosity formation is not an activation one. The main mechanism consists in the momentum
transfer from one layer to another and depends on the layer “roughness”. In accordance with
the generalized similarity principle, liquid alkaline metals are shown to belong to the same
similarity class, and a similar character of changes in the isobars of the kinematic shear viscosity of liquid alkaline metals is observed only if this principle is applicable. A formula for the
kinematic shear viscosity is proposed. The agreement of the results obtained with experimental
data is quite satisfactory.

Key words: kinematic shear viscosity, liquid alkaline metals.

References:

  1. L. Reatto, D. Levesque, J.J. Weis. Iterative predictorcorrector method for extraction of the pair interaction from structural data for dense classical liquids. Phys. Rev. A 33, 3451 (1986).
    https://doi.org/10.1103/PhysRevA.33.3451
  2. S.I. Mudry, V.M. Sklyarchuk, Yu.O. Plevachuk, A.S. Yakymovych. Viscosity of Sb—Sn melts. Inorg. Mater. 46, 837 (2010).
    https://doi.org/10.1134/S0020168510080054
  3. Yu. Plevachuk, V. Sklyarchuk, A. Yakymovych, P. Svec, D. Janickovic, E. Illekova. Thermophysical properties of liquid silver-bismuth-tin alloys. J. Mater. Engin. Perform. 21, 585 (2012).
    https://doi.org/10.1007/s11665-012-0157-8
  4. S.G. Prakash, R. Ravi, R.P. Chhabra. Corresponding states theory and transport coefficients of liquid metals. Chem. Phys. 302, 149 (2004).
    https://doi.org/10.1016/j.chemphys.2004.04.001
  5. O.K. Echendu, E.C. Mbamala, B.C. Anusionwu. Theoretical investigation of the viscosity of some liquid metals and alloys. Phys. Chem. Liq. 49, 247 (2011).
    https://doi.org/10.1080/00319100903539520
  6. G. Kaptay. A unified equation for the viscosity of liquid metals. Z. Metallkd. 96, 24 (2005).
    https://doi.org/10.3139/146.018080
  7. N.P. Kovalenko, L.M. Kuzomina. On the theory of interionic interaction in liquid metals. Ukr. Fiz. Zh. 25, 809 (1980) (in Russian).
  8. M. Nishio. The CH/ hydrogen bond in chemistry. Conformation, supramolecules, optical resolution and interactions involving carbohydrates. Phys. Chem. Chem. Phys. 13, 13873 (2011).
    https://doi.org/10.1039/c1cp20404a
  9. J. Frenkel. Kinetic Theory of Liquids (Dover, 1955).
  10. V.P. Slusar, N.S. Rudenko, V.M. Tretyakov. Experimental study of the viscodity of simple substances on the saturation line at a pressure. II. Ar, Kr, Xe. Ukr. J. Phys. 17, 1257 (1972) (in Russian).
  11. A. Batchinski. Untersuchungen ¨uber die innere Reibung der Flussigkeiten. Z. Phys. Chem. 84, 643 (1913).
  12. P.V. Makhlaichuk, V.N. Makhlaichuk, N.P. Malomuzh. Nature of the kinematic shear viscosity of low-molecular liquids with averaged potential of Lennard-Jones type. J. Molec. Liq. 225, 577 (2017).
    https://doi.org/10.1016/j.molliq.2016.11.101
  13. V.L. Kulinskii, N.P. Malomuzh. Dipole fluid as a basic model for the equation of state of ionic liquids in the vicinity of their critical point. Phys. Rev. E 67, 011501 (2003).
    https://doi.org/10.1103/PhysRevE.67.011501
  14. N.P. Malomuzh, V.P. Oleynik. Nature of the kinematic shear viscosity of water. J. Struct. Chem. (Russia) 49, 1055 (2008).
    https://doi.org/10.1007/s10947-008-0178-1
  15. I.Z. Fisher. Statistical Theory of Liquids (Chicago University Press, 1964).
  16. L.A. Bulavin, V.M. Sysoev, Physics of Phase Transitions (Kyiv Univ. Publ. House, Kyiv, 2010) (in Ukrainian).
  17. P.V. Makhlaichuk, N.P. Malomuzh. Generalized similarity principle for corresponding states of low-molecular liquids. In Abstracts of the 7th International Conference "Physics of Liquid Matter: Modern Problems", May 27–30, 2016, Kyiv (2016), p. 28.
  18. N.B. Vargaftik, Handbook of Physical Properties of Liquids and Gases: Pure Substances and Mixtures (Hemisphere Publishing Corp., 1983).
  19. D.K. Belashchenko. Computer simulation of liquid metals. High Temp. 50, 61 (2012).
    https://doi.org/10.1134/S0018151X11060058
  20. D.K. Belashchenko. Application of the embedded atom model to liquid metals: Liquid sodium. High Temp. 47, 494 (2009).
    https://doi.org/10.1134/S0018151X09040063
  21. Ju Yuan-Yuan, Zhang Qing-Ming, Gong Zi-Zheng, Ji Guang-Fu. Molecular dynamics simulation of self-diffusion coefficients for liquid metals. Chin. Phys. B 22, 083101 (2013).
    https://doi.org/10.1088/1674-1056/22/8/083101
  22. I. Kaban, W. Hoyer, Yu. Plevachuk, V. Sklyarchuk. Atomic structure and physical properties of liquid Pb–Bi alloys. J. Phys.: Condens. Matter 16, 6335 (2004).
    https://doi.org/10.1088/0953-8984/16/36/001
  23. F.Q. Zu, Z.G. Zhu, B. Zhang, Y. Feng, J.P. Shui. Postmelting anomaly of Pb-Bi alloys observed by internal friction technique. J. Phys.: Condens. Matter 13, 11435 (2001).
    https://doi.org/10.1088/0953-8984/13/50/303
  24. S. Mudry, V. Srlyarchuk, Ya. Plevachuk, A. Yakymovych. Viscosity of Bi-Zn liquid alloys. J. Non-Crystal. Solids 354, 4415 (2008).
  25. D.K. Belashchenko. Computer simulation of liquid metals. Usp. Fiz. Nauk 183, 1281 (2013) (in Russian).
    https://doi.org/10.3367/UFNr.0183.201312b.1281
  26. P.M. Kesselman, S.A. Inshakov, A.Yu. Bykov. General method for calculating the thermodynamic properties of metal melts from limited data. Teplofiz. Vys. Temp. 35, 31 (1997).