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

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Ribau, AM (Author) FEUP; Ferrás, LL (Author) Other; Morgado, ML (Author) Other; Rebelo, M (Author) Other; F. T. Pinho (Author) FEUP; Afonso, AM (Author) FEUP

Journal

Title: Journal of Engineering Mathematics

Vol. 148

ISSN: 0022-0833

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-016-VM6

DOI: 10.1007/s10665-024-10387-7

Abstract (EN): 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 (alpha\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} and beta\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta $$\end{document}), 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18