The effect of asymmetric zeta potentials on the electro-osmotic flow of a generalized Phan–Thien–Tanner fluid

• Published in: Journal of engineering mathematics Vol. 148; no. 1
• Main Authors: Ribau, A. M., Ferrás, L. L., Morgado, M. L., Rebelo, M., Pinho, F. T., Afonso, A. M.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Asymmetry; Computational Mathematics and Numerical Analysis; Constitutive equations; Constitutive relationships; Electroosmosis; Exact solutions; Fluid dynamics; Fluid flow; Impact analysis; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Microchannels; Nanotechnology devices; Parameters; Theoretical and Applied Mechanics; Velocity distribution; Viscoelasticity; Zeta potential; Electro-osmotic flow under asymmetric zeta potential; GPTT model; Analytical solutions; Mittag-Leffler function
• ISSN: 0022-0833; 1573-2703
• DOI: 10.1007/s10665-024-10387-7

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.