Abstract
The phenomenon of electro-osmosis was studied by performing numerical simulations on the flow between parallel walls and at the nozzle microchannels. In this work, we propose a numerical approximation to perform simulations of vortex formation which occur after the passage of the fluid through an abrupt contraction at the microchannel. The motion of the charges in the solution is described by the Poisson–Nernst–Planck equations and used the generalized finite differences to solve the numerical problem. First, solutions for electro-osmotic flow were obtained for the Phan–Thien/Thanner model in a parallel walls channel. Later simulations for electro-osmotic flow were performed in a nozzle. The formation of vortices near the contraction within the nozzle was verified by taking into account a flow perturbation model.
Highlights
For more than 200 years, it has been known that certain liquid solutions can flow through a small channel by applying an electrical potential difference at both ends of the microchannel
The dynamics of fluids, electrokinetics and electrochemistry form the basis for the study of electrohydrodynamics
Afonso et al [20] demonstrated the analytical solution for viscoelastic flows in a parallel plates and circular section channel, taking into account a non-zero pressure gradient and the electrokinetic effect, where one of the constitutive models used was the simplified Phan–Thien/Thanner
Summary
For more than 200 years, it has been known that certain liquid solutions can flow through a small channel by applying an electrical potential difference at both ends of the microchannel This area of study, or technique of manipulation of the fluid, i.e., the transport of particles through application of an external electric field, is called electrokinetics. Afonso et al [20] demonstrated the analytical solution for viscoelastic flows in a parallel plates and circular section channel, taking into account a non-zero pressure gradient and the electrokinetic effect, where one of the constitutive models used was the simplified Phan–Thien/Thanner (sPTT). In other study Niu et al [24] demonstrate that self-generated solvent flow can be used to generate long-range attractions on the colloidal scale The dynamics of this system is governed by an effective conservative energy that for large separations depends on the inverse of the distance.
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