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Journal of Chemistry
Volume 2015, Article ID 163262, 12 pages
http://dx.doi.org/10.1155/2015/163262
Research Article

A New Equation Relating the Viscosity Arrhenius Temperature and the Activation Energy for Some Newtonian Classical Solvents

1Laboratoire de Valorisation des Matériaux Utiles, Centre National des Recherche en Sciences des Matériaux, B.P. 95, Borj Cedria, 2050 Hammam Lif, Tunisia
2Laboratoire d’Ingénierie Mathématique, Ecole Polytechnique de Tunisie, Université de Carthage, Rue El Khawarizmi, B.P. 743, 2078 La Marsa, Tunisia
3Department of Mathematics, Faculty of Basic Education, PAAET, 92400 Al-Ardiya, Kuwait
4Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria 21511, Egypt
5Laboratoire Biophysique et de Technologies Médicales LR13ES04, Institut Supérieur des Technologies Médicales de Tunis, Université de Tunis El Manar, 9 Avenue Dr. Zouhaier Essafi, 1006 Tunis, Tunisia

Received 15 December 2014; Accepted 15 April 2015

Academic Editor: Demeter Tzeli

Copyright © 2015 Aymen Messaâdi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In transport phenomena, precise knowledge or estimation of fluids properties is necessary, for mass flow and heat transfer computations. Viscosity is one of the important properties which are affected by pressure and temperature. In the present work, based on statistical techniques for nonlinear regression analysis and correlation tests, we propose a novel equation modeling the relationship between the two parameters of viscosity Arrhenius-type equation, such as the energy () and the preexponential factor (). Then, we introduce a third parameter, the Arrhenius temperature (), to enrich the model and the discussion. Empirical validations using 75 data sets of viscosity of pure solvents studied at different temperature ranges are provided from previous works in the literature and give excellent statistical correlations, thus allowing us to rewrite the Arrhenius equation using a single parameter instead of two. In addition, the suggested model is very beneficial for engineering data since it would permit estimating the missing parameter value, if a well-established estimate of the other parameter is readily available.