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Unsteady Rotating Electroosmotic Flow Through a Slit Microchannel

Published online by Cambridge University Press:  15 February 2016

D.-Q. Si ,
Y.-J. Jian ,
L. Chang  and
Q.-S. Liu
D.-Q. Si
Affiliation:
School of Mathematical Science Inner Mongolia University Hohhot, China
Y.-J. Jian*
Affiliation:
School of Mathematical Science Inner Mongolia University Hohhot, China
L. Chang
Affiliation:
School of Mathematics and Statistics Inner Mongolia University of Finance and Economics Hohhot, China
Q.-S. Liu
Affiliation:
School of Mathematical Science Inner Mongolia University Hohhot, China
*
*Corresponding author (jianyj@imu.edu.cn)
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Abstract

Using the method of Laplace transform, an analytical solution of unsteady rotating electroosmotic flow (EOF) through a parallel plate microchannel is presented. The analysis is based upon the linearized Poisson-Boltzmann equation describing electrical potential distribution and the Navies Stokes equation representing flow field in the rotating coordinate system. The discrepancy of present problem from classical EOF is that the velocity fields are two-dimensional. The rotating EOF velocity profile and flow rate greatly depend on time t, rotating parameter ω and the electrokinetic width K (ratio of half height of microchannel to thickness of electric double layer). The influence of the above dimensionless parameters on transient EOF velocity, volume flow rate and EO spiral is investigated.

Keywords

UnsteadyRotating electroosmotic flow (EOF)Laplace transform method
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 5 , October 2016 , pp. 603 - 611
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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