\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":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 140, 2018"}