Park H M, Hong S M, Lee J S
Department of Chemical and Biomolecular Engineering, Sogang University, Shinsoo-Dong, Mapo-Gu, Seoul, 121-742, South Korea.
Biomed Microdevices. 2007 Oct;9(5):751-60. doi: 10.1007/s10544-007-9086-y.
A reduced-order model is derived for electroosmotic flow in a microchannel of nonuniform cross section using the Karhunen-Loève Galerkin (KLG) procedure. The resulting reduced-order model is shown to predict electroosmotic flows accurately with minimal consumption of computer time for a wide range of zeta potential zeta and dielectric constant epsilon. Using the reduced-order model, a practical method is devised to estimate zeta from the velocity measurements of the electroosmotic flow in the microchannel. The proposed method is found to estimate zeta with reasonable accuracy even with noisy velocity measurements.
采用卡尔胡宁-勒夫伽辽金(KLG)方法,为非均匀横截面微通道中的电渗流推导了一个降阶模型。结果表明,所得降阶模型能够在计算机时间消耗最少的情况下,针对广泛的zeta电位ζ和介电常数ε准确预测电渗流。利用该降阶模型,设计了一种实用方法,可根据微通道中电渗流的速度测量值估算ζ。研究发现,即使在速度测量存在噪声的情况下,所提出的方法也能以合理的精度估算ζ。