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/ 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, 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