S. Wang - Department of Engineering Mechanics, Shandong University, ۲۵۰۰۶۱ Jinan, P.R. China
M. Zhao - Geotechnical and structural engineering research center, Shandong University, Jinan ۲۵۰۰۶۱, P.R. China
X. Li - School of Mathematical Sciences, University of Jinan, ۲۵۰۱۰۰ Jinan, P.R. China
S. Wei - School of Control Science and Engineering, University of Jinan, ۲۵۰۱۰۰ Jinan, P.R. China

The time periodic electroosmotic flow of Newtonian fluids through a semicircular microchannel is studied under the Debye–Hückel approximation. Analytical series of solutions are found, and they consist of a time-dependent oscillating part and a time-dependent generating or transient part. Some new physical phenomena are found. The electroosmotic flow driven by an alternating electric field is not periodic in time, but quasi-periodic. There is a phase shift between voltage and flow, which is only dependent on the frequency of external electric field.

Electroosmotic flow, Integral transform, Newtonian fluid, Time periodic flow algorithm