Uzdenova Aminat, Urtenov Makhamet
Department of Computer Science and Computational Mathematics, Federal State Budgetary Educational Institution of Higher Education "Umar Aliev Karachai-Cherkess State University", 369202 Karachaevsk, Russia.
Department of Applied Mathematics, Federal State Budgetary Educational Institution of Higher Education "Kuban State University", 350040 Krasnodar, Russia.
Membranes (Basel). 2020 Mar 20;10(3):49. doi: 10.3390/membranes10030049.
Electromembrane devices are usually operated in two electrical regimes: potentiodynamic (PD), when a potential drop in the system is set, and galvanodynamic (GD), when the current density is set. This article theoretically investigates the current-voltage curves (CVCs) of flow-through electrodialysis membrane systems calculated in the PD and GD regimes and compares the parameters of the electroconvective vortex layer for these regimes. The study is based on numerical modelling using a basic model of overlimiting transfer enhanced by electroconvection with a modification of the boundary conditions. The Dankwerts' boundary condition is used for the ion concentration at the inlet boundary of the membrane channel. The Dankwerts' condition allows one to increase the accuracy of the numerical implementation of the boundary condition at the channel inlet. On the CVCs calculated for PD and DG regimes, four main current modes can be distinguished: underlimiting, limiting, overlimiting, and chaotic overlimiting. The effect of the electric field regime is manifested in overlimiting current modes, when a significant electroconvection vortex layer develops in the channel.
电位动力学(PD)模式,即设定系统中的电位降时;以及电流动力学(GD)模式,即设定电流密度时。本文从理论上研究了在PD和GD模式下计算的流通式电渗析膜系统的电流-电压曲线(CVC),并比较了这些模式下电对流涡层的参数。该研究基于数值模拟,使用了通过电对流增强超极限传输的基本模型,并对边界条件进行了修正。在膜通道入口边界处的离子浓度采用丹克维茨边界条件。丹克维茨条件能够提高通道入口处边界条件数值实现的精度。在为PD和DG模式计算的CVC上,可以区分出四种主要电流模式:欠极限、极限、超极限和混沌超极限。电场模式的影响在超极限电流模式中表现出来,此时通道中会形成显著的电对流涡层。