The Viscosity of Liquids in the Dual Model

Abstract

A reliable model of viscosity in liquids using a dual liquid model framework is developed. The analytical expression arrived at exhibits the correct T-dependence Arrhenius-like. It is compared with the values of viscosity for water with acceptable accuracy and those related to the mechano-thermal effect in liquids under low-frequency shear. It has even been shown that a numerical approach of viscosity in liquids dealt with as dual systems provides good agreement with experimental data. The expression of viscosity shows an explicit dependence upon the sound velocity and the collective vibratory degrees of freedom excited at a given temperature. The terms involved depend upon the Boltzmann and Planck constants. Finally, the physical model is coherent with the postulate of microscopic reversibility as well as with the time's arrow for macroscopic dissipative mechanisms.