{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T06:56:57Z","timestamp":1773557817685,"version":"3.50.1"},"reference-count":34,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,9]],"date-time":"2023-04-09T00:00:00Z","timestamp":1680998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In the current effort, the effects of entropy generation and electro-osmotic driven peristaltic flow of non-Newtonian Williamson liquid in a curved micro-channel is investigated. Formulation of the problem is conducted in a wave frame of reference. Due to the complexity of non-Newtonian fluid, the analytical solutions of non-linear coupled equations are not easy to obtain and are very rarely found in the literature. For analytical solutions, the governing equations are reduced in the form of the Bessel function. The electric double layer is employed as a result of a zeta potential of about 25 mV. The low Reynolds number and long wavelength approximations are taken into account. Graphical analysis has been carried out for velocity, temperature and entropy for physical parameters. It is noted that the Brinkmann number enhances the temperature. The results of this model will be extremely helpful in designing electro-peristaltic pumps for thermal systems.<\/jats:p>","DOI":"10.3390\/sym15040889","type":"journal-article","created":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T03:49:29Z","timestamp":1681098569000},"page":"889","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["Analytical Solutions of Peristalsis Flow of Non-Newtonian Williamson Fluid in a Curved Micro-Channel under the Effects of Electro-Osmotic and Entropy Generation"],"prefix":"10.3390","volume":"15","author":[{"given":"Ambreen A.","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics & Statistics, Faculty of Sciences, International Islamic University, Islamabad 44000, Pakistan"}]},{"given":"B.","family":"Zahra","sequence":"additional","affiliation":[{"name":"Department of Mathematics & Statistics, Faculty of Sciences, International Islamic University, Islamabad 44000, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7805-8259","authenticated-orcid":false,"given":"R.","family":"Ellahi","sequence":"additional","affiliation":[{"name":"Department of Mathematics & Statistics, Faculty of Sciences, International Islamic University, Islamabad 44000, Pakistan"},{"name":"Fulbright Fellow Department of Mechanical Engineering, University of California Riverside, Riverside, CA 92521, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4796-0581","authenticated-orcid":false,"given":"Sadiq M.","family":"Sait","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia"},{"name":"Interdisciplinary Research Center for Smart Mobility and Logistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,9]]},"reference":[{"key":"ref_1","unstructured":"Latham, T.W. 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