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TitleOptimisation approach for parameter estimation of the generalised PTT viscoelastic model
Author(s)Costa, M. Fernanda P.
Coelho, C.
Ferrás, Luís Jorge Lima
Sequential approach
Viscoelastic models
Phan-thien and tanner
Issue date11-Sep-2021
JournalLecture Notes in Computer Science
CitationCosta M.F.P., Coelho C., Ferrás L.L. (2021) Optimisation Approach for Parameter Estimation of the Generalised PTT Viscoelastic Model. In: Gervasi O. et al. (eds) Computational Science and Its Applications – ICCSA 2021. ICCSA 2021. Lecture Notes in Computer Science, vol 12952. Springer, Cham.
Abstract(s)The exponential form of the original Phan-Thien and Tanner (PTT) model is often used to study complex viscoelastic fluids. Recently, a generalised version of the PTT model, that uses the Mittag-Leffler function to compute a new function of the trace of the stress tensor, was proposed. This new model adds one or two additional fitting parameters that allow for greater fitting capability. In this paper, we propose two optimisation problems for estimating the model parameters when fitting experimental data in shear (storage modulus, loss modulus, shear viscosity). We also propose a numerical sequential approach for solving one of these problems. The optimal values for the parameters produced by the optimisation approach allow the model to reproduce almost exactly the experimental data.
TypeConference paper
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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