A lattice Boltzmann model was proposed to simulate electrowetting-on-dielectric (EWOD). The insulative vapor and the electrolyte liquid droplet were simulated by the lattice Boltzmann method respectively, and the linear property between cosine of contact angle and the electric field force confirms the reliability of this model. In the simulation of electrolyte flowing in a rough-wall channel under an external electric field, we found that a narrow channel is more sensitive than a broad channel and the flux decreases monotonously as the electric field increase, but may suddenly increase if the electric field is strong enough.
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