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Novel linear/nonlinear dependence between the Viscosity Arrhenius parameters correlation in Newtonian liquids

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Abstract Viscosity “η” is one of the most important properties in Newtonian liquids (NLs). It depends on temperature, pressure, molar mass, etc. Its theoretical description is quite complex. For these… Click to show full abstract

Abstract Viscosity “η” is one of the most important properties in Newtonian liquids (NLs). It depends on temperature, pressure, molar mass, etc. Its theoretical description is quite complex. For these reasons numerous empirical equations have been suggested, so far. Unfortunately, they have limitation of use. In this regard, firstly we model the relationship between the energy of Arrhenius ( E a ) and the factor ( ln A s ). Secondly, we deduce a simple empirical model that theoretically describes the viscosity (η). Besides that, we introduce two other interesting models: one relies E a and the Arrhenius temperature (TA), by analogy, it looks like the phenomenon of charging a capacitor. The other estimates the boiling temperature “Tb” of an unknown NL. All these suggested models have been validated by using a data set of 157 pure solvents grouped from literature. These models will be useful for engineering data and science community. The model is reduced to a single variable without losing significant accuracy.

Keywords: viscosity; linear nonlinear; novel linear; nonlinear dependence; arrhenius; newtonian liquids

Journal Title: Chemical Physics
Year Published: 2020

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