Electro-osmotic and pressure-driven flow of viscoelastic fluids in microchannels: Analytical and semi-analytical solutions

• Type: Article in International Scientific Journal
• Date: 2016

Authors

L. L. Ferrás (Author) Other; A. M. Afonso (Author) FEUP; M. A. Alves (Author) FEUP; J. M. Nóbrega (Author) Other; F. T. Pinho (Author) FEUP

Journal

Title: Physics of Fluids

Vol. 28 No. 9

Pages: 093102-1-093102-17

ISSN: 1070-6631

Publisher: American Institute of Physics

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ISI Web of Knowledge - 13 Citations

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Other information

Authenticus ID: P-00M-4VH

DOI: 10.1063/1.4962357

Abstract (EN): In this work, we present a series of solutions for combined electro-osmotic and pressure-driven flows of viscoelastic fluids in microchannels. The solutions are semi-analytical, a feature made possible by the use of the Debye-Huckel approximation for the electrokinetic fields, thus restricted to cases with small electric double-layers, in which the distance between the microfluidic device walls is at least one order of magnitude larger than the electric double-layer thickness. To describe the complex fluid rheology, several viscoelastic differential constitutive models were used, namely, the simplified Phan-Thien-Tanner model with linear, quadratic or exponential kernel for the stress coefficient function, the Johnson-Segalman model, and the Giesekus model. The results obtained illustrate the effects of the Weissenberg number, the Johnson-Segalman slip parameter, the Giesekus mobility parameter, and the relative strengths of the electro-osmotic and pressure gradient-driven forcings on the dynamics of these viscoelastic flows. Published by AIP Publishing.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17