TY - JOUR
T1 - Oscillatory electroosmotic flow in a parallel-plate microchannel under asymmetric zeta potentials
AU - Peralta, M.
AU - Arcos, J.
AU - Méndez, F.
AU - Bautista, O.
N1 - Publisher Copyright:
© 2017 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
PY - 2017/5/12
Y1 - 2017/5/12
N2 - In this work, we conduct a theoretical analysis of the start-up of an oscillatory electroosmotic flow (EOF) in a parallel-plate microchannel under asymmetric zeta potentials. It is found that the transient evolution of the flow field is controlled by the parameters Rω, Rρ, and k̄ , which represent the dimensionless frequency, the ratio of the zeta potentials of the microchannel walls, and the electrokinetic parameter, which is defined as the ratio of the microchannel height to the Debye length. The analysis is performed for both low and high zeta potentials; in the former case, an analytical solution is derived, whereas in the latter, a numerical solution is obtained. These solutions provide the fundamental characteristics of the oscillatory EOFs for which, with suitable adjustment of the zeta potential and the dimensionless frequency, the velocity profiles of the fluid flow exhibit symmetric or asymmetric shapes.
AB - In this work, we conduct a theoretical analysis of the start-up of an oscillatory electroosmotic flow (EOF) in a parallel-plate microchannel under asymmetric zeta potentials. It is found that the transient evolution of the flow field is controlled by the parameters Rω, Rρ, and k̄ , which represent the dimensionless frequency, the ratio of the zeta potentials of the microchannel walls, and the electrokinetic parameter, which is defined as the ratio of the microchannel height to the Debye length. The analysis is performed for both low and high zeta potentials; in the former case, an analytical solution is derived, whereas in the latter, a numerical solution is obtained. These solutions provide the fundamental characteristics of the oscillatory EOFs for which, with suitable adjustment of the zeta potential and the dimensionless frequency, the velocity profiles of the fluid flow exhibit symmetric or asymmetric shapes.
KW - Stokes' second problem
KW - asymmetric zeta potentials
KW - microchannel
KW - oscillatory electroosmotic flow
KW - unsteady electroosmotic flow
UR - http://www.scopus.com/inward/record.url?scp=85020407328&partnerID=8YFLogxK
U2 - 10.1088/1873-7005/aa6dd1
DO - 10.1088/1873-7005/aa6dd1
M3 - Artículo
SN - 0169-5983
VL - 49
JO - Fluid Dynamics Research
JF - Fluid Dynamics Research
IS - 3
M1 - 035514
ER -