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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\u2013Thien\u2013Tanner (gPTT) constitutive equation) in a microchannel under asymmetric zeta potential conditions. The constitutive equation incorporates the Mittag\u2013Leffler function with two parameters (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha $$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b1<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\beta $$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b2<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>), 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.<\/jats:p>","DOI":"10.1007\/s10665-024-10387-7","type":"journal-article","created":{"date-parts":[[2024,8,17]],"date-time":"2024-08-17T04:02:00Z","timestamp":1723867320000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The effect of asymmetric zeta potentials on the electro-osmotic flow of a generalized Phan\u2013Thien\u2013Tanner fluid"],"prefix":"10.1007","volume":"148","author":[{"given":"A. M.","family":"Ribau","sequence":"first","affiliation":[]},{"given":"L. L.","family":"Ferr\u00e1s","sequence":"additional","affiliation":[]},{"given":"M. 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