Contribution to modeling the viscosity Arrhenius-type equation for some solvents by statistical correlations analysis

Estimation and knowledge of transport properties of fluids are essential for heat and mass flow. Viscosity is one of the important properties which are affected by temperature and pressure.In the present work, based on the use of econometric and statistical techniques for parametric and non-parametric regression analysis and statistical correlation tests, we propose an equation modeling the relationship between the two parameters of viscosity Arrhenius-type equation, such as the Arrhenius energy (Ea) or the pre-exponential factor (As). In addition, we introduce a third interesting parameter called Arrhenius temperature (TA), to enrich the discussion.Empirical validation using 48 data set of pure solvents from the literature and studied at different temperature ranges gives excellent statistical results which allow us to redefine the Arrhenius equation using a single parameter instead of two ones. In addition, the proposed model is very useful for engineering data and permits to estimate one non-available parameter when the second one is available.