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The solutions are semi-analytical, a feature made possible by the use of the Debye\u2013H\u00fcckel 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\u2013Tanner 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.<\/jats:p>","DOI":"10.1063\/1.4962357","type":"journal-article","created":{"date-parts":[[2016,9,30]],"date-time":"2016-09-30T00:30:29Z","timestamp":1475195429000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":60,"title":["Electro-osmotic and pressure-driven flow of viscoelastic fluids in microchannels: Analytical and semi-analytical solutions"],"prefix":"10.1063","volume":"28","author":[{"given":"L. 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