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Open AccessArticle

Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation

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Faculdade de Ciências Exatas e Tecnologia, FACET, Universidade Federal da Grande Dourados, Cidade Universitaria-Rodovia Dourados-Itahum, Km 12, Dourados 79804-970, Brasil
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Departamento de Matemática Aplicada e Estatística, ICMC, Universidade de São Paulo, Av. Trabalhador São-carlense, 400, São Carlos 13566-590, Brasil
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Faculdade de Engenharia da Universidade do Porto, Departamento de Engenharia Mecânica, Centro de Estudos de Fenómenos de Transporte (CEFT), 4200-465 Porto, Portugal
*
Authors to whom correspondence should be addressed.
Micromachines 2019, 10(12), 796; https://doi.org/10.3390/mi10120796
Received: 20 September 2019 / Revised: 13 November 2019 / Accepted: 15 November 2019 / Published: 20 November 2019
(This article belongs to the Special Issue Rheology and Complex Fluid Flows in Microfluidics)
The phenomenon of electro-osmosis was studied by performing numerical simulations on the flow between parallel walls and at the nozzle microchannels. In this work, we propose a numerical approximation to perform simulations of vortex formation which occur after the passage of the fluid through an abrupt contraction at the microchannel. The motion of the charges in the solution is described by the Poisson–Nernst–Planck equations and used the generalized finite differences to solve the numerical problem. First, solutions for electro-osmotic flow were obtained for the Phan–Thien/Thanner model in a parallel walls channel. Later simulations for electro-osmotic flow were performed in a nozzle. The formation of vortices near the contraction within the nozzle was verified by taking into account a flow perturbation model. View Full-Text
Keywords: HiG-Flow; HiG-Tree; finite differences; viscoelastic; electro-osmotic HiG-Flow; HiG-Tree; finite differences; viscoelastic; electro-osmotic
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MDPI and ACS Style

Bezerra, W.D.S.; Castelo, A.; Afonso, A.M. Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation. Micromachines 2019, 10, 796.

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