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Projeto de investigação
Center of Mathematics of the University of Minho
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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.
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.
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Entidade financiadora
Fundação para a Ciência e a Tecnologia
Programa de financiamento
6817 - DCRRNI ID
Número da atribuição
UIDP/00013/2020