Abstract
In this study, the hydrogen bonding term is used in combination with the Patel–Teja viscosity equation of state to model the viscosities of the mixtures of the alcohols. The pure-component parameters of the alcohols have been fitted according to the experimental data. Subsequently, an appropriate mixing rule has been suggested for the binary mixtures and new fitting parameters (BIPs) have been introduced. The cross association contributions have been used for the model, and it is extended to binary mixtures of alcohols. The accuracy of the present viscosity equation of state has been tested through the viscosities of 12 binary alcohol mixtures based on the deviations from the experimental data. Moreover, the model has been applied with and without binary interaction parameters. The results of this model show that the application of the application of binary interaction parameters has no significant effect on the accuracy of the model for primary linear alcohols while binary interaction parameters are required when isomers of the alcohols is present in the mixture. The overall average deviations of the viscosity are 15.49% and 3.87% without and with binary interaction parameters, respectively. Moreover, the calculations are done without hydrogen binding and it is found that the application of hydrogen bonding has no significant effect on the accuracy of the model.
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Abbreviations
- a,b,c :
-
Parameters of PT equation of state
- e 0, e 1 :
-
Fitting parameters
- E :
-
Fitting parameter
- f :
-
Parameters of viscosity equation of state
- k ij :
-
Binary interaction parameter
- M :
-
Molecular mass, g/mol
- N :
-
Number of experimental points
- P :
-
Pressure, bar
- P c :
-
Critical pressure, bar
- P r :
-
Reduced pressure
- \(R^{\prime}\) :
-
Parameter of PT viscosity equation of state
- rc :
-
Parameter of PT viscosity equation of state
- T :
-
Temperature, K
- T c :
-
Critical temperature, K
- T d :
-
Specific temperature used to correct the computed viscosities, K
- \(T^{\prime}_{{}}\) :
-
Presumptive temperature, K
- \(T^{\prime}_{c}\) :
-
Presumptive critical temperature, K
- v :
-
Molar volume, cm3·mol−1
- \(v^{\prime}\) :
-
Fitting parameter
- x i :
-
Mole fraction of i in the liquid phase
- AAD%:
-
Average absolute deviation percent
- EOS:
-
Equation of State
- PT:
-
Patel–Teja
- α:
-
Fitting parameters
- β :
-
Parameter of viscosity equation of state
- η :
-
Adjusted critical compressibility factor
- \(\kappa\) :
-
Fitting parameters
- μ :
-
Viscosity, μPa·s
- μ c :
-
Critical viscosity, μPa·s
- Ωa,Ωb,Ωc,Ωac :
-
Parameters of PT equation of state
- ω :
-
Acentric factor
- c :
-
Critical
- calc :
-
Calculated
- exp :
-
Experimental
- r :
-
Reduced
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MN: methodology, investigation, software, formal analysis, validation, writing original draft, writing—review and editing. FA: investigation, software, formal analysis, validation. SK: methodology, writing original draft, writing–review and editing, supervision.
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Niksirat, M., Aeenjan, F. & Khosharay, S. The application of the Patel–Teja viscosity equation of state for alcohols and their mixtures. Braz. J. Chem. Eng. 41, 585–595 (2024). https://doi.org/10.1007/s43153-023-00347-6
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DOI: https://doi.org/10.1007/s43153-023-00347-6