On the Homographic Dependence of Activation Energy and Viscosity Arrhenius' Temperature for Some Pure Fluids

N.O. Alzamel1,*, F. Alakhras1, A.A. Al-Arfaj1, M.A. Al-Khaldi1, N.A. Al-Omair1, E. Al-Abbad1, A.A. Wassel1 and N. Ouerfelli1,2

1Imam Abdurrahman Bin Faisal University, Department of Chemistry, College of Science, P.O. Box 1982, Dammam 31441, Saudi Arabia

2Université de Tunis El Manar, Laboratoire de Biophysique et Technologies Médicales, LR13ES07, Institut Supérieur des Technologies Médicales de Tunis, 9 Avenue Dr. Zouhaier Essafi 1006 Tunis, Tunisia

*Corresponding author: E-mail: nalzamil@iau.edu.sa

Abstract

Viscosity is the most important hydraulic fluid characteristic and it is one of the significant quantities which are affected by pressure and temperature. Using of statistical methods for regression and correlation analysis, any eventual causal association between the melting and boiling points and the Arrhenius-type equation parameters of some classical Newtonian fluids is attempted. Empirical validations using 101 data set of viscosity of pure Newtonian fluids studied at atmospheric pressure and at different temperature domains give reliable statistical result. In fact, we found a significant strong causal correlation between the Arrhenius activation energy (Ea), the boiling point (Tb) and the Arrhenius temperature (TA). As a result, an original empirical model modeling this relationship is suggested. The proposed model allows the prediction of the normal boiling temperature through information on viscosity Arrhenius parameters. Moreover, the proposed model is very beneficial for fluid engineering data especially for the study of systems efficiency and hydraulic components. Because of that, the need for more accurately and specific mathematical modeling of the fluid behaviour is required.

Keywords

Viscosity, Arrhenius temperature, Boiling point, Pure fluid.

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