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Analytical Solutions of Time Periodic Electroosmotic Flow in a Semicircular Microchannel

Publish place: Journal of Applied Fluid Mechanics، Vol: 8، Issue: 2
Publish Year: 1393
Type: Journal paper
Language: English
View: 243

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Link to this Paper:
https://civilica.com/doc/1385032

Document National Code:

JR_JAFM-8-2_017

Index date: 25 January 2022

Analytical Solutions of Time Periodic Electroosmotic Flow in a Semicircular Microchannel abstract

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.

Analytical Solutions of Time Periodic Electroosmotic Flow in a Semicircular Microchannel Keywords:

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

Analytical Solutions of Time Periodic Electroosmotic Flow in a Semicircular Microchannel authors

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