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Projeto de investigação
Center of Mathematics of the University of Minho
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Analytical study of the annular flow of a generalised Phan-Thien–Tanner fluid
Publication . Ribau, A. M.; Ferrás, L. L.; Morgado, M. L.; Rebelo, M.; Pinho, F. T.; Afonso, A. M.; DM - Departamento de Matemática; CMA - Centro de Matemática e Aplicações; Springer-Verlag Wien
The annular flow of complex viscoelastic fluids, described by the generalised Phan-Thien–Tanner model, is studied. This model considers the Mittag-Leffler function instead of the usual linear or exponential functions of the trace of the stress tensor, and includes two new parameters that provide additional fitting flexibility. We derive a semi-analytical solution that provides a better understanding of the behaviour of this type of fluid in annular flows and also helps to improve the modelling of complex materials.
The effect of asymmetric zeta potentials on the electro-osmotic flow of a generalized Phan–Thien–Tanner fluid
Publication . Ribau, A. M.; Ferrás, L. L.; Morgado, M. L.; Rebelo, M.; Pinho, F. T.; Afonso, A. M.; Faculdade de Ciências e Tecnologia (FCT); Springer
Electrokinetic flows driven by electro-osmotic forces are especially relevant in micro and nano-devices, presenting specific applications in medicine, biochemistry, and miniaturized industrial processes. In this work, we integrate analytical solutions with numerical methodologies to explore the fluid dynamics of viscoelastic electro-osmotic/pressure-driven fluid flows (described by the generalized Phan–Thien–Tanner (gPTT) constitutive equation) in a microchannel under asymmetric zeta potential conditions. The constitutive equation incorporates the Mittag–Leffler function with two parameters (α and β), which regulate the rate of destruction of junctions in a network model. We analyze the impact of the various model parameters on the velocity profile and observe that our newly proposed model provides a more comprehensive depiction of flow behavior compared to traditional models, rendering it suitable for modeling complex viscoelastic flows.
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Entidade financiadora
Fundação para a Ciência e a Tecnologia
Programa de financiamento
6817 - DCRRNI ID
Número da atribuição
UIDB/00013/2020