Issues

 / 

2023

 / 

April

←  →

Reviews of topical problems


Theoretical and computational approaches to predicting the viscosity of liquids

†  a, b, c, ‡  a, b, c
a Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
b HSE University, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation
c Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russian Federation

Predictive models for the shear viscosity of liquids and gases along with exact equations of state are of great practical importance for hydrodynamic modeling of processes occurring in nature, industrial plants, and machinery. We consider currently proposed theoretical, including atomistic modeling, and semi-empirical approaches to predicting the viscosity of liquids, gases, and their mixtures in a wide range of thermodynamic conditions. Viscosity models of homogeneous liquids in a thermodynamically stable state are described. The dynamics of supercooled and vitrescent liquids and dispersed systems (colloids, emulsions) remain beyond the scope of this review. We discuss the area of applicability of correlation methods for predicting viscosity and the accuracy of various methods in the pressure range up to 1 GPa. Application examples of various approaches for hydrocarbons — model oil and gas, fuel, and lubrication systems — are given.

Fulltext pdf (1.4 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2021.11.039102
Correspondence should be addressed to
Keywords: shear viscosity, liquids, theoretical models, empirical models, molecular modeling, atomistic modeling
PACS: 66.20.Cy
DOI: 10.3367/UFNe.2021.11.039102
URL: https://ufn.ru/en/articles/2023/4/d/
001099929700006
2-s2.0-85137744289
2023PhyU...66..410K
Citation: Kondratyuk N D, Pisarev V V "Theoretical and computational approaches to predicting the viscosity of liquids" Phys. Usp. 66 410–432 (2023)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 26th, August 2021, revised: 17th, November 2021, 18th, November 2021

Оригинал: Кондратюк Н Д, Писарев В В «Теоретические и вычислительные подходы к предсказанию вязкости жидкостей» УФН 193 437–461 (2023); DOI: 10.3367/UFNr.2021.11.039102

References (228) Cited by (17) Similar articles (20) ↓

  1. T.V. Tropin, Ju.W.P. Schmelzer, V.L. Aksenov “Modern aspects of the kinetic theory of glass transition” Phys. Usp. 59 42–66 (2016)
  2. V.N. Ryzhov, E.E. Tareyeva et al “Complex phase diagrams of systems with isotropic potentials: results of computer simulations” Phys. Usp. 63 417–439 (2020)
  3. V.V. Brazhkin, A.G. Lyapin et al “Where is the supercritical fluid on the phase diagram?” Phys. Usp. 55 1061–1079 (2012)
  4. A.N. Utyuzh, A.V. Mikheyenkov “Hydrogen and its compounds under extreme pressure” Phys. Usp. 60 886–901 (2017)
  5. Ya.S. Lyakhova, G.V. Astretsov, A.N. Rubtsov “Mean-field concept and post-DMFT methods in the modern theory of correlated systems” Phys. Usp. 66 775–793 (2023)
  6. A.F. Barabanov, V.E. Valiulin et al “Spherically symmetric approaches in the low-dimensional magnetism theory” Phys. Usp. 69 116–137 (2026)
  7. V.V. Klinshov, V.I. Nekorkin “Synchronization of delay-coupled oscillator networks” Phys. Usp. 56 1217–1229 (2013)
  8. V.F. Gantmakher, V.T. Dolgopolov “Localized-delocalized electron quantum phase transitions” Phys. Usp. 51 3–22 (2008)
  9. V.V. Brazhkin, A.G. Lyapin “Universal viscosity growth in metallic melts at megabar pressures: the vitreous state of the Earth’s inner core” Phys. Usp. 43 493–508 (2000)
  10. M.F. Sarry “Theoretical calculation of equations of state: analytical results” Phys. Usp. 42 991–1015 (1999)
  11. V.G. Boiko, Kh.I. Mogel’ et al “Features of metastable states in liquid-vapor phase transitions” Sov. Phys. Usp. 34 (2) 141–159 (1991)
  12. A.V. Bushman, V.E. Fortov “Model equations of state” Sov. Phys. Usp. 26 465–496 (1983)
  13. B.A. Klumov “Universal structural properties of three-dimensional and two-dimensional melts” Phys. Usp. 66 288–311 (2023)
  14. V.V. Klimov “Optical nanoresonators” Phys. Usp. 66 263–287 (2023)
  15. K.A. Gubarev, E.T. Musaev “Integrability structures in string theory” Phys. Usp. 67 219–250 (2024)
  16. Yu.S. Kalashnikova, A.V. Nefediev “X(3872) in the molecular model” Phys. Usp. 62 568–595 (2019)
  17. E.O. Babichev, V.I. Dokuchaev, Yu.N. Eroshenko “Black holes in the presence of dark energy” Phys. Usp. 56 1155–1175 (2013)
  18. S.I. Anisimov, B.S. Luk’yanchuk “Selected problems of laser ablation theory” Phys. Usp. 45 293–324 (2002)
  19. V.V. Belyaev “Physical methods for measuring the viscosity coefficients of nematic liquid crystals” Phys. Usp. 44 255–284 (2001)
  20. I.L. Fabelinskii “Macroscopic and molecular shear viscosity” Phys. Usp. 40 689–700 (1997)

The list is formed automatically.

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions