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

摘要

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 microfiuidic chips.