| RESISTANCE EFFECT OF ELECTRIC DOUBLE LAYER ON LIQUID FLOW IN MICROCHANNEL |
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| 作者姓名： | 龚磊 吴健康 |
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| 作者单位： | Wuhan National Laboratory for Optoelectronics Department of Mechanics，Huazhong University of Science and Technology，Wuhan 430074，P.R.China，Wuhan National Laboratory for Optoelectronics，Department of Mechanics，Huazhong University of Science and Technology，Wuhan 430074，P.R.China |
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| 摘 要： | Poisson-Boltzrnann 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.
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| 关 键 词： | 微通道 导电双重层 电抗数 Poisson-Boltzmann方程 |
| 收稿时间： | 2005-10-10 |
| 修稿时间： | 2006-07-10 |
Resistance effect of electric double layer on liquid flow in microchannel |
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| Lei Gong,Jian-kang Wu Doctor.RESISTANCE EFFECT OF ELECTRIC DOUBLE LAYER ON LIQUID FLOW IN MICROCHANNEL[J].Applied Mathematics and Mechanics(English Edition),2006,27(10):1391-1398. |
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| Authors: | Lei Gong Jian-kang Wu Doctor |
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| Institution: | Wuhan National Laboratory for Optoelectronics,Department of Mechanics,Huazhong University of Science and Technology,Wuhan 430074,P.R.China |
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| Abstract: | Poisson-Boltzrnann 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. |
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| Keywords: | microchannel electric double layer electric resistance number |
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