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Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids

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Abstract
The paper proposes a mathematical framework for the use of fractional-order impedance models to capture fluid mechanics properties in frequency-domain experimental datasets. An overview of non-Newtonian (NN) fluid classification is given as to motivate the use of fractional-order models as natural solutions to capture fluid dynamics. Four classes of fluids are tested: oil, sugar, detergent and liquid soap. Three nonlinear identification methods are used to fit the model: nonlinear least squares, genetic algorithms and particle swarm optimization. The model identification results obtained from experimental datasets suggest the proposed model is useful to characterize various degree of viscoelasticity in NN fluids. The advantage of the proposed model is that it is compact, while capturing the fluid properties and can be identified in real-time for further use in prediction or control applications. This article is part of the theme issue 'Advanced materials modelling via fractional calculus: challenges and perspectives'.
Keywords
non-Newtonian fluids, viscoelasticity, fractional-order impedance model, frequency response, genetic algorithm, FRACTIONAL CALCULUS, FLOW, IMPEDANCE

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MLA
Ionescu, Clara-Mihaela, et al. “Mathematical Modelling with Experimental Validation of Viscoelastic Properties in Non-Newtonian Fluids.” PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 378, no. 2172, 2020, doi:10.1098/rsta.2019.0284.
APA
Ionescu, C.-M., Birs, I. R., Copot, D., Muresan, C., I., & Caponetto, R. (2020). Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 378(2172). https://doi.org/10.1098/rsta.2019.0284
Chicago author-date
Ionescu, Clara-Mihaela, Isabela Roxana Birs, Dana Copot, C. Muresan I, and R. Caponetto. 2020. “Mathematical Modelling with Experimental Validation of Viscoelastic Properties in Non-Newtonian Fluids.” PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 378 (2172). https://doi.org/10.1098/rsta.2019.0284.
Chicago author-date (all authors)
Ionescu, Clara-Mihaela, Isabela Roxana Birs, Dana Copot, C. Muresan I, and R. Caponetto. 2020. “Mathematical Modelling with Experimental Validation of Viscoelastic Properties in Non-Newtonian Fluids.” PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 378 (2172). doi:10.1098/rsta.2019.0284.
Vancouver
1.
Ionescu C-M, Birs IR, Copot D, Muresan C I, Caponetto R. Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. 2020;378(2172).
IEEE
[1]
C.-M. Ionescu, I. R. Birs, D. Copot, C. Muresan I., and R. Caponetto, “Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids,” PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 378, no. 2172, 2020.
@article{8667185,
  abstract     = {{The paper proposes a mathematical framework for the use of fractional-order impedance models to capture fluid mechanics properties in frequency-domain experimental datasets. An overview of non-Newtonian (NN) fluid classification is given as to motivate the use of fractional-order models as natural solutions to capture fluid dynamics. Four classes of fluids are tested: oil, sugar, detergent and liquid soap. Three nonlinear identification methods are used to fit the model: nonlinear least squares, genetic algorithms and particle swarm optimization. The model identification results obtained from experimental datasets suggest the proposed model is useful to characterize various degree of viscoelasticity in NN fluids. The advantage of the proposed model is that it is compact, while capturing the fluid properties and can be identified in real-time for further use in prediction or control applications. This article is part of the theme issue 'Advanced materials modelling via fractional calculus: challenges and perspectives'.}},
  articleno    = {{20190284}},
  author       = {{Ionescu, Clara-Mihaela and Birs, Isabela Roxana and Copot, Dana and Muresan, C., I and Caponetto, R.}},
  issn         = {{1364-503X}},
  journal      = {{PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES}},
  keywords     = {{non-Newtonian fluids,viscoelasticity,fractional-order impedance model,frequency response,genetic algorithm,FRACTIONAL CALCULUS,FLOW,IMPEDANCE}},
  language     = {{eng}},
  number       = {{2172}},
  pages        = {{21}},
  title        = {{Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids}},
  url          = {{http://dx.doi.org/10.1098/rsta.2019.0284}},
  volume       = {{378}},
  year         = {{2020}},
}

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