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Modeling the dynamic viscosity of Newtonian Fluids using the Eyring’s Theory and the Residual Helmholtz Free Energy

10.24050/reia.v19i38.1535
Published 2022-06-01
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Abstract

In this work, the dynamic viscosity of Newtonian fluids is modeled using Eyring's theory and the residual Helmholtz free energy. In order to estimate this energy, a modified Peng-Robinson cubic equation of state is applied. The adjustable parameters of the model have been determined from experimental data in the liquid and vapor coexistence for n-alkanes and n-alcohols. Later these parameters have been generalized using simple mathematical expressions that depend on the molecular weight of each substance. The predictive capabilities of the model are evaluated under single-phase conditions. The absolute deviations during correlation are below 3.27% while in prediction are below 5.60%. The generalized model is extended to mixtures using a simple mixture rule with one binary interaction parameter and the result without interaction is 8.19% and estimated is 3.45%. Finally, the model is compared with others in the literature and the statistical results show that the generalized model provides acceptable results.

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