Optimisation Approach for Parameter Estimation of the Generalised PTT Viscoelastic Model

• Type: Article in International Conference Proceedings Book
• Date: 2021

Authors

Costa, MFP (Author) Other; Coelho, C (Author) Other; Ferras, LL (Author) FEUP

Conference proceedings International

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

Pages: 481-494

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

Cagliari, ITALY, SEP 13-16, 2021

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Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14