Analytical Solutions of Time Periodic Electroosmotic Flow in a Semicircular Microchannel

Shaowei Wang, Xicheng Li
2015 Journal of Applied Fluid Mechanics  
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
more » ... flow, which is only dependent on the frequency of external electric field.
doi:10.18869/acadpub.jafm.67.221.22691 fatcat:e2qvkaxq2ba3hay7gj4vbwqaom