Numerical analysis of mixed electroosmotic/pressure driven flow using an improved weakly compressible Smoothed Particle Hydrodynamics method

This study investigates a numerical analysis of the electroosmotic / pressure driven flow in Newtonian fluids. Laplace, Poisson-Boltzmann and Momentum two-dimensional equations are solved numerically in a rectangular microchannel using the smooth particle hydrodynamics method. In order to improve the smooth particle hydrodynamics method, an improved and well-behaved algorithm has been used to solve problems in microchannels. To validating the algorithm, the effect of the zeta potential and the applied pressure gradient parameters on the flow has also been researched and compared with analytical and numerical results. In the middle patch of the microchannel where there is an electric potential, the volumetric force caused by the electroosmotic flow affects the parabolic velocity distribution and this impact is discussed in this article. The effect of changing the zeta potential and pressure gradient on the flow has been shown as well. The results show increasing in the applied pressure gradient increases the share of the parabolic of velocity distribution in the velocity profile in the mixed region and the velocity distribution becomes flat parabolic, while increasing the zeta potential increases the velocity in the electric double layer and the velocity distribution takes the form of a horse saddle.