Optimisation Approach for Parameter Estimation of the Generalised PTT Viscoelastic Model

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2021

Autores

Costa, MFP (Autor) Outra; Coelho, C (Autor) Outra; Ferras, LL (Autor) FEUP

Ata de Conferência Internacional

Título: COMPUTATIONAL SCIENCE AND ITS APPLICATIONS, ICCSA 2021, PT IV

Páginas: 481-494

21st International Conference on Computational Science and Its Applications (ICCSA)

Cagliari, ITALY, SEP 13-16, 2021

Indexação

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Outras Informações

ID Authenticus: P-00V-HX0

DOI: 10.1007/978-3-030-86973-1_34

Abstract (EN): 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14