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Analytical solution of mixed electroosmotic and pressure-driven flow in rectangular microchannels

机译:矩形微通道中电渗和压力驱动混合流的解析解

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Analytical solutions for potential distributions, velocity distributions of the mixed electroosmotic and pressure-driven flow in rectangular microchannels are discussed. To simulate the flow, a mathematical model, which includes the Poisson-Boltzmann equation and the modified Navier-Stokes equations, is presented and solved using the finite element method based on the Matlab software. The results show that the velocity distribution of mixed flow is compound of the "plug-like" and paraboloid at the steady state, and the pure electroosmotic flow is "plug-like", which is similar with the electric double layer potential profile. The results provide the guidelines for the application of mix driven flow in microfluidic chips.
机译:讨论了矩形微通道中电渗流和压力驱动混合流的势分布,速度分布的解析解。为了模拟流动,提出了一个数学模型,其中包括Poisson-Boltzmann方程和改进的Navier-Stokes方程,并使用了基于Matlab软件的有限元方法进行求解。结果表明,稳态时混合流的速度分布为“塞状”和抛物面的复合,纯电渗流为“塞状”,与双电势分布相似。结果为在微流控芯片中应用混合驱动流提供了指导。

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