Study of the law of corresponding states of viscous properties of classical liquids

Abstract

The law of corresponding states is studied for the coefficients of shear η* S and volume η* V viscosities of classical liquids (Ar, Kr, Xe, O2, N2, CH4); the analytical expressions are derived on the basis of kinetic equations for one- and two-particle distribution functions. The reduced iso-frequency coefficients Φ(|r|) and g(|r|) for liquid Ar, Kr, Xe, O2, N2, and CH4 are numerically calculated in a wide range of variations at the reduced temperatures T* and densities ρ*, which satisfy the law of corresponding states, at a definite choice of the intermolecular interaction potential η S * and radial distribution function η V *.