Viscosity Arrhenius parameters correlation: extension from pure to binary fluid mixtures

Abstract

Knowledge of fluids’ physicochemical properties is mandatory for the design and optimisation of industrial processes and products. A data quantity of most importance, in this regard, turns out to be the value of fluid viscosity. Many empirical and semi-empirical formulas have been proposed in the literature to describe the viscosity of pure liquids and binary liquid mixtures. Recently, an interesting equation is proposed for pure solvents correlating the two parameters in the viscosity Arrhenius-type equation, namely the activation energy (E_a) and the pre-exponential factor (A_s). This paper aims to extend the said correlation to binary liquid mixtures. To achieve this purpose, statistical methods are applied using data sets from the literature of some solvent binary mixtures at different compositions and temperatures. The validation of the extended proposed equation for binary liquid mixtures is important since it simplifies the estimation of viscous behaviour and the ensuing calculations.

Keywords:

• viscosity
• binary mixture
• Arrhenius temperature
• correlation
• statistics

Acknowledgement

We thank Dr. Fethi Bin Muhammad Belgacem (Department of Mathematics, Faculty of Basic Education, PAAET, Kuwait) for helpful discussions and for reading the manuscript.

ORCID

Noureddine Ouerfelli http://orcid.org/0000-0002-8343-0510