Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids. (11th May 2020)

• Record Type: Journal Article
• Authors: Ionescu, C. M.; Birs, I. R.; Copot, D.; Muresan, C. I.; Caponetto, R.
• Is Part Of: Philosophical transactions. Volume 378:Number 2172(2020)
• Publication Date: 2020-05-11
• Subjects: non-Newtonian fluids -- viscoelasticity -- fractional-order impedance model -- frequency response -- genetic algorithm; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rsta.2019.0284
• Languages: English
• ISSNs: 1364-503X

Abstract

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'.