Department of Engineering Mechanics, Shandong University, 250061 Jinan, P.R. China
Geotechnical and structural engineering research center, Shandong University, Jinan 250061, P.R. China
School of Mathematical Sciences, University of Jinan, 250100 Jinan, P.R. China
School of Control Science and Engineering, University of Jinan, 250100 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.