| Info. | Vol.1 - No.2 (2007.06.20) |
|---|---|
| Title | Working Formula for Precise Calculation of the Electric Field in a Microchannel |
| Authors | Yong Kweon Suh1, Seong Gyu Heo1 & Sangmo Kang1 |
| Institutions | 1Department of Mechanical Engineering, Dong-A University, 840 Hadan-dong, Saha-gu, Busan 604-714, Korea Correspondence and requests for materials should be addressed to Y.K. Suh (yksuh@dau.ac.kr) |
| Abstract | In this paper, we present a working formula for calculating the electric field inside a microchannel that has two reservoirs, one attached at either end of the channel, supplying the electric charge. For the case where the channel width is much smaller than the reservoir size, as is usually the case, we designed a method to patch the numerical solutions obtained for the reservoir domain and the asymptotic solutions valid for the region near the entrance to the channel where it attaches to the reservoir. Assuming small channel size, we also derived two asymptotic solutions, for the potential and for the electric field applicable to the reservoir and to the channel regions. A working formula was then established that could predict the effects of the electrode and channel size relative to the reservoir on the electric field built inside the channel. The working formula was robust and applicable to a wide range of parameter values. |
| Keyword | Microchannel, Entrance effect, Electric field, Asymptotic solutions |
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