Simulation of diffusion–convection processes in microfluidic channels equipped with double band microelectrode assemblies: approach through quasi-conformal mapping

Abstract

Two different applications of conformal mapping approaches are proposed for the treatment of double band assemblies operating in a microfluidic channel: (i) a quasi-conformal map for the numerical simulation of diffusion–convection processes occurring when the channel is submitted to a microfluidic flow, and (ii) a conformal map specifically designed for obtaining the steady-state analytical solution for the pure diffusional regime (i.e., without flow) within the same channel. The latter applies also when such assemblies perform within a thin film of electrolyte. The results are presented for a generator–collector operation of the assemblies but the methods apply also to other situations (e.g., generator–generator mode).