\r\nlaw fluids through a microchannel is studied numerically. A

\r\ntime-dependent external electric field (AC) is suddenly imposed

\r\nat the ends of the microchannel which induces the fluid motion.

\r\nThe continuity and momentum equations in the x and y direction

\r\nfor the flow field were simplified in the limit of the lubrication

\r\napproximation theory (LAT), and then solved using a numerical

\r\nscheme. The solution of the electric potential is based on the

\r\nDebye-H¨uckel approximation which suggest that the surface potential

\r\nis small,say, smaller than 0.025V and for a symmetric (z : z)

\r\nelectrolyte. Our results suggest that the velocity profiles across

\r\nthe channel-width are controlled by the following dimensionless

\r\nparameters: the angular Reynolds number, Reω, the electrokinetic

\r\nparameter, ¯κ, defined as the ratio of the characteristic length scale

\r\nto the Debye length, the parameter λ which represents the ratio

\r\nof the Helmholtz-Smoluchowski velocity to the characteristic length

\r\nscale and the flow behavior index, n. Also, the results reveal that

\r\nthe velocity profiles become more and more non-uniform across the

\r\nchannel-width as the Reω and ¯κ are increased, so oscillatory OEOF

\r\ncan be really useful in micro-fluidic devices such as micro-mixers.","references":"[1] Masliyah, J. H., & Bhattacharjee, S. Electrokinetic and colloid transport\r\nphenomena. John Wiley & Sons.(2006)\r\n[2] Leal L. G. Advanced transport phenomena. Cambridge University\r\nPress. (2007)\r\n[3] Hoffman, J. D., & Frankel, S. Numerical methods for engineers and\r\nscientists. CRC press.(2001)\r\n[4] Pantakar, S. V. Numerical Heat Transfer and Fluid Flow. Hemisphere\r\nPubl., Washington.(1980)\r\n[5] Anderson, J. D., & Wendt, J. Computational fluid dynamics (Vol. 206).\r\nNew York: McGraw-Hill.(1995)\r\n[6] Huang, H. F., & Lai, C. L. Enhancement of mass transport\r\nand separation of species by oscillatory electroosmotic flows. In\r\nProceedings of the Royal Society of London A: Mathematical, Physical\r\nand Engineering Sciences (Vol. 462, No. 2071, pp. 2017-2038). The\r\nRoyal Society.(2006)\r\n[7] Zhao, C., Zholkovskij, E., Masliyah, J. H., & Yang, C. Analysis of\r\nelectroosmotic flow of power-law fluids in a slit microchannel. Journal\r\nof colloid and interface science, 326(2), 503-510.(2008)\r\n[8] Rojas, G., Arcos, J., Peralta, M., M\u00b4endez, F., & Bautista, O. Pulsatile\r\nelectroosmotic flow in a microcapillary with the slip boundary\r\ncondition. Colloids and Surfaces A: Physicochemical and Engineering\r\nAspects, 513, 57-65.(2017) [9] Babaie, A., Sadeghi, A., & Saidi, M. H. Combined electroosmotically\r\nand pressure driven flow of power-law fluids in a slit microchannel.\r\nJournal of Non-Newtonian Fluid Mechanics, 166(14-15),\r\n792-798.(2011)\r\n[10] Oswald, &. A., Hern\u00b4andez-Ort\u00b4\u0131z J. P. Polymer Processing. Modeling\r\nand Simulation. Carl Hanser Verlag, Munich 2006\r\n[11] Zhao, C., & Yang, C. An exact solution for electroosmosis of\r\nnon-Newtonian fluids in microchannels. Journal of Non-Newtonian\r\nFluid Mechanics, 166(17-18), 1076-1079.(2011)\r\n[12] Qi, C., & Ng, C. O. Electroosmotic flow of a power-law fluid in a slit\r\nmicrochannel with gradually varying channel height and wall potential.\r\nEuropean Journal of Mechanics-B\/Fluids, 52, 160-168.(2015)","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 140, 2018"}