Abstract
Induced charge electroosmotic flow is a new electric driving mode. Based on the Navier–Stokes equations and the Poisson–Nernst–Planck (PNP) ion transport equations, the finite volume method is adopted to calculate the equations and boundary conditions of the induced charge electroosmotic flow. In this paper, the formula of the induced zeta potential of the polarized solid surface is proposed, and a UDF program suitable for the simulation of the induced charge electroosmotic is prepared according to this theory. At the same time, on the basis of this theory, a cross micropump driven by induced charge electroosmotic flow is designed, and the voltage, electric potential, charge density, and streamline of the induced electroosmotic micropump are obtained. Studies have shown that when the cross-shaped micropump is energized, in the center of the induction electrode near the formation of a dense electric double layer, there exist four symmetrical vortices at the four corners, and they push the solution towards both outlets; it can be found that the average velocity of the solution in the cross-flow microfluidic pump is nonlinear with the applied electric field, which maybe helpful for the practical application of induced electroosmotic flow in the field of micropump.
Highlights
Much research has been made under the leadership of a large number of scholars such as Lin Bingcheng, Qin Jianhua, and so on, all of which contributed to the development of microfluidic chip technology in China and even in the world
Electrokinetic phenomena can be divided into linear and nonlinear electrokinetic phenomena according to whether the zeta potential in the electrokinetic phenomenon changes with an applied electric field
Induced electroosmosis (ICEO) is a phenomenon driven by electrostatic forces under applied electric field and is a variant of the electroosmotic phenomenon [7]. e phenomenon of induced electroosmotic flow mainly depends on the interaction of polarizable solids with an applied electric field to generate an electromotive phenomenon. e induced potential on the polarizable surface is critical to the induced charge electroosmotic flow. e magnitude of its zeta potential is related to the applied electric field. e earliest induced electroosmotic flow was discovered by Romans et al at the end of the 20th century
Summary
Equations (2)–(4) are solved to obtain ion concentration and density distribution, and (5) and (6) are solved to get the information of flow field. According to the relevant theoretical study, it is found that the induced tangent slip velocity of the electric double layer on the polarizable solid surface in the electroosmotic flow is uICEO. Theoretical data Simulation data Figure 1: Zeta potential on the polarizable solid surface under the electric led of E0. Under the two-dimensional uniform electric eld, the analytical formula of zeta potential at ideal polarizable cylindrical surface is shown below:
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