%0 Journal Article %A Jamaati, Jafar %A Farahinia, Ali Reza %A Niazmand, Hamid %T Numerical Investigation of Electro-osmotic Flow in Heterogeneous Microchannels %J Modares Mechanical Engineering %V 15 %N 3 %U http://mme.modares.ac.ir/article-15-6470-en.html %R %D 2015 %K Electro-osmotic flow, Heterogeneous Micro-channels, Helmholtz-Smoluchowski Model, %X Numerical modeling of electro-osmotic flow in heterogeneous micro-channels using two different models is presented in this article. For the through modeling of such flows, the coupled equations of Navier-Stokes, Nernst-Planck and the Poisson-Boltzmann are solved for the flow field, electric charges transport and electric field, respectively. Numerical solution of these equations for the heterogeneous micro-channels is complicated and difficult. Therefore, simple and approximate models such as Helmholtz-Smoluchowski have been proposed in which the solution of Poisson-Boltzmann, Nernst-Planck are neglected and the effect of the electric field on the flow field is applied through a prescribed slip boundary condition at the walls of micro-channel. The electro-osmotic flow fields within the heterogeneous micro-channels are usually complex and contain the vortex region that is ideal for mixing purpose. Hence, in this paper, the micro-channels designed so that they are capable to serve as micro-mixers in the mixing applications. For the micro-channels proposed here, the flow fields are obtained both with approximate modeling and the full simulation of electro-osmotic flows so that a comparison can be made to discuss the accuracy of the approximate model. The results of this study can be used to model the electro-osmotic flow field within heterogeneous micro-channels. %> http://mme.modares.ac.ir/article-15-6470-en.pdf %P 260-270 %& 260 %! %9 %L A-15-1000-4993 %+ %G eng %@ 1027-5940 %[ 2015