Abstract
Poisson-Boltzmann equation for EDL (electric double layer) and Navier-Stokes equation for liquid flows were numerically solved to investigate resistance effect of electric double layer on liquid flow in microchannel. The dimension analysis indicates that the resistance effect of electric double layer can be estimated by an electric resistance number, which is proportional to the square of the liquid dielectric constant and the solid surface zeta potential, and inverse-proportional to the liquid dynamic viscosity, electric conductivity and the square of the channel width. An “electric current density balancing” (ECDB) condition was proposed to evaluate the flow-induced streaming potential, instead of conventional “electric current balancing” (ECB) condition which may induce spurious local backflow in neighborhood of the solid wall of the microchannel. The numerical results of the flow rate loss ratio and velocity profile are also given to demonstrate the resistance effect of electric double layer in microchannel.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Mala G M, Li D, Werner C, Jacobasch H J, Ning T B. Flow characteristics of water through a microchannel between two parallel plates with electrokinetic effects[J]. Internat J Heat Fluid Flow, 1997, 18(5):489–495.
Mala G M, Li D. Flow characteristics of water in microtubes[J]. Internat J Heat Fluid Flow, 1999, 20(2):142–148.
Yang Chun, Li Dongqing, Masliyah Jacob H. Modeling forced liquid convection in rectangular microchannels with electrokinetic effects[J]. Internat J Heat Mass Transfer, 1998, 41(24):4229–4249.
Ren Liqing, Qu Weilin, Li Dongqing. Interfacial electrokinetic effects on liquid flow in microchannels[J]. Internat J Heat Mass Transfer, 2001, 44(16):3125–3134.
Chun Myung-suk, Lee Sang-yang, Yang Seung-man. Estimation of Zeta-potential by electrokinetic analysis of ionic fluid flows through a divergent microchannel[J]. J Colloid Interface Sci, 2003, 266:120–126.
Dutta Prashanta, Beskok Ali, Warburton Timothy C. Numerical simulation of mixed electroosmotic/pressure driven microflows[J]. Numer Heat Transfer, Part A, 2002, 41(2):131–148.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by HUANG Yong-nian
Project supported by the National Natural Science Foundation of China (No.10472036)
Rights and permissions
About this article
Cite this article
Gong, L., Wu, Jk. Resistance effect of electric double layer on liquid flow in microchannel. Appl Math Mech 27, 1391–1398 (2006). https://doi.org/10.1007/s10483-006-1011-1
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10483-006-1011-1