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Soft bipolar nanochannels provide distinct and valuable understanding of the intricate relationship among shape, charge distribution, concentration, and flow dynamics. This study investigates the intriguing realm of nanoscale structures, where two distinct configurations of soft layers with varying charges provide an intricate but appealing setting for the movement and management of ions, as well as the regulation and control of ionic species in nanochannels with five various geometries. It generates cylindrical, trumpet, dumbbell, hourglass, and conical forms. The nanochannels are coated with a diffuse polyelectrolyte layer, and the charge density distribution in the soft layer is described using the soft step distribution function. To enhance accuracy, the impact of ionic partitioning is taken into account. To investigate the effect of soft layer polarity, two types were considered: Type I and Type II. In Type I, the negative pole is at the start, while in Type II, the positive pole is at the start. Thus, Type I features a bipolar soft layer arrangement of negative–positive (NP), whereas Type II has a positive–negative (PN) configuration. The research was conducted under stationary conditions using the finite element method, Poisson–Nernst–Planck, and Navier–Stokes equations. By manipulating variables such as the arrangement order, charge density of the soft layer, and bulk concentration, a numerical analysis was performed to investigate the impact of these variables on current–voltage parameters. The results demonstrate the soft layer with a positive charge serves as a more effective receiver layer for generating greater rectification. For instance, the dumbbell-shaped nanochannel exhibits a rectification of 2046 at a concentration of 1 mM and the lowest charge density in the soft layer. From an alternative perspective, the conductivity in bipolar nanochannels is significantly influenced by the bulk concentration. The study's findings on the fundamental principles of soft bipolar nanochannels have profound implications for the diverse applications of nanochannels. The capacity to regulate and manipulate ion transport through these nanochannels can result in enhanced efficiency, selectivity, and performance in various processes.
Heydari et al. (Fri,) studied this question.