Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition

被引：0
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作者：
Pearanat Chuchard
Somsak Orankitjaroen
Benchawan Wiwatanapataphee
机构：
[1] Mahidol University,Department of Mathematics, Faculty of Science
[2] The Centre of Excellence in Mathematics,Department of Mathematics and Statistics, Faculty of Science and Engineering
[3] Curtin University,undefined
来源：
Advances in Difference Equations | / 2017卷
关键词：
microchannel flow; elliptic cross-section; Navier-Stokes equations; pulsatile pressure gradient; elctroosmosis; electric potential;
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摘要：
This paper aims to study an unsteady electric field-driven and pulsatile pressure-driven flow of a Newtonian fluid in an elliptic cylindrical microchannel with Navier boundary wall slip. The governing equations of the slip flow and distributions of electric potential and charge densities are the modified Navier-Stokes equations, the Poisson equation and the Nernst-Planck equations, respectively. Analytical and numerical analyses based on the Mathieu and modified Mathieu equations are performed to investigate the interplaying effects of pulsatile pressure gradients and the slip lengths on the electroosmotic flow.
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