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Journal article
Error quantification of the Arrhenius blending rule for viscosity of hydrocarbon mixtures
Frontiers in energy research, Vol.10
12/16/2022
Appears in Aviation Sustainability Center (ASCENT)
Abstract
Six hundred and seventy-five measurements of dynamic viscosity and density have been used to assess the prediction error of the Arrhenius blending rule for kinematic viscosity of hydrocarbon mixtures. Major trends within the data show that mixture complexity-binary to hundreds of components-and temperature are more important determinants of prediction error than differences in molecular size or hydrogen saturation between the components of the mixtures. Over the range evaluated, no correlation between prediction error and mole fractions was observed, suggesting the log of viscosity truly is linear in mole fraction, as indicated by the Arrhenius blending rule. Mixture complexity and temperature also impact molar volume and its prediction. However, a linear regression between the two model errors explains less than 20% of the observed variation, indicating that mixture viscosity and/or molar volume are not linear with respect to temperature and/or mixture complexity. Extensive discussion of the intermolecular forces and the geometric arrangement of molecules and vacancies in liquids, which ultimately determines its viscosity, is brought into context with the implicit approximations behind the Arrhenius blending rule. The complexity of this physics is not compatible with a simple algebraic correction to the model. However, sufficient data is now available to determine confidence intervals around the prediction of fuel viscosity based on its component mole fractions and viscosities. At -40 degrees C, when all identified components are pure molecules the modeling error is 13.2% of the predicted (nominal) viscosity times the root mean square of the component mole fractions.
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Details
- Title
- Error quantification of the Arrhenius blending rule for viscosity of hydrocarbon mixtures
- Creators
- Randall C. C. Boehm - Washington State University, School of Mechanical and Materials EngineeringFranchesca Hauck - University of DaytonZhibin Yang - University of DaytonC. Taber Wanstall - University of DaytonJoshua S. S. Heyne - University of Dayton
- Publication Details
- Frontiers in energy research, Vol.10
- Academic Unit
- Aviation Sustainability Center (ASCENT); Alternative Jet Fuel
- Publisher
- Frontiers Media Sa
- Number of pages
- 15
- Grants
- 13-C-AJFE-UD-26, Federal Aviation Administration (United States, Washington) - FAA
- Grant note
- 13-C-AJFE-UD-026 / U.S. Federal Aviation Administration Office of Environment and Energy through ASCENT, the FAA Center of Excellence for Alternative Jet Fuels and the Environment PO 2196073 / U.S. DOE BETO
- Identifiers
- 99901007835601842
- Language
- English
- Resource Type
- Journal article