Theoretical and computational approaches to predicting the viscosity of liquids

N.D. Kondratyuk^†^a, b, c, V.V. Pisarev^‡^a, b, c
^aJoint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^bHSE University, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation
^cMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, 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.

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/
Web of Science

001099929700006
Scopus

2-s2.0-85137744289
ADS NASA

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)

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Received: 26th, August 2021, revised: 17th, November 2021, accepted: 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 (6) Similar articles (20) ↓

V.N. Ryzhov, E.E. Tareyeva et al “Complex phase diagrams of systems with isotropic potentials: results of computer simulations” 63 417–439 (2020)
V.V. Brazhkin, A.G. Lyapin et al “Where is the supercritical fluid on the phase diagram?” 55 1061–1079 (2012)
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition” 53 357–372 (2010)
V.V. Brazhkin, A.G. Lyapin “Universal viscosity growth in metallic melts at megabar pressures: the vitreous state of the Earth’s inner core” 43 493–508 (2000)
I.T. Yakubov “Electrical conductivity of a strongly coupled plasma” 36 (5) 365–379 (1993)
G.N. Gerasimov, B.E. Krylov et al “UV emission from excited inert-gas molecules” 35 (5) 400–419 (1992)
S.V. Popruzhenko, A.M. Fedotov “Dynamics and radiation of charged particles in ultra-intense laser fields” 66 460–493 (2023)
M.Yu. Kagan, A.V. Turlapov “BCS—BEC crossover, collective excitations, and hydrodynamics of superfluid quantum fluids and gases” 62 215–248 (2019)
R.A. Andrievski “High-melting point compounds: new approaches and new results” 60 276–289 (2017)
T.V. Tropin, Ju.W.P. Schmelzer, V.L. Aksenov “Modern aspects of the kinetic theory of glass transition” 59 42–66 (2016)
P.N. Zakharov, V.K. Arzhanik et al “Microtubule: a dynamically unstable stochastic phase switching polymer” 59 773–786 (2016)
V.V. Klinshov, V.I. Nekorkin “Synchronization of delay-coupled oscillator networks” 56 1217–1229 (2013)
V.N. Pokrovskii “Low-frequency dynamics of dilute solutions of linear polymers” 37 375–391 (1994)
A.V. Andrienko, V.I. Ozhogin et al “Nuclear spin wave research” 34 (10) 843–861 (1991)
B.O. Kerbikov, L.A. Kondratyuk, M.G. Sapozhnikov “Hadron physics in low-energy antiproton beams” 32 739–762 (1989)
I.G. Kaplan, O.B. Rodimova “Intermolecular interactions” 21 918–943 (1978)
A.V. Slunyaev, D.E. Pelinovsky, E.N. Pelinovsky “Rogue waves in the sea: observations, physics, and mathematics” 66 148–172 (2023)
A.A. Askadskii, T.A. Matseevich “Further research on the improvement of models and computer programs for the prediction and analysis of the physical properties of polymers” 66 586–627 (2023)
O.V. Maslennikov, M.M. Pugavko et al “Nonlinear dynamics and machine learning of recurrent spiking neural networks” 65 1020–1038 (2022)
E.D. Eidelman, A.V. Arkhipov “Field emission from carbon nanostructures: models and experiment” 63 648–667 (2020)

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