Modeling of electro-chemo-mechanical transport phenomena in simple (nanochannel) or complex (nanoporous media) geometries with inhomogeneous surface charge and overlapped electric double layers remains challenging. This bottleneck originates from lack of a comprehensive model to predict the local surface charge density based on the variable local solution properties. This work aims to propose a model, so-called representative bulk layer (RBL), which makes the chemically non-isolated solid-liquid interfaces (due to the electric double layers interaction) as isolated interfaces by introducing a local effective bulk ion concentration. Using RBL together with the electrical triple layer model to provide boundary conditions for the multi-physio-chemical transport equations (PNP + NS), we investigate the reverse electrodialysis (RED) in nanochannels. Our modeling results indicate that the length of an ion-selective membrane not only influences the ionic current but also the logarithm of the slope of current-voltage curve increases linearly with the ratio of nanochannel length to height. This interesting finding inspires us to propose a dimensionless relation for the current-voltage curve that is independent of the nanochannel dimensions. The present contribution numerical framework could shed light on the electro-chemo-mechanical transport mechanism through nanofluidic devices and membranes.

具有简单的表面电荷和重叠的双电层的简单（纳米通道）或复杂（纳米孔介质）几何形状中的电化学-机械传输现象的建模仍然具有挑战性。该瓶颈源于缺乏基于可变局部溶液属性来预测局部表面电荷密度的综合模型。这项工作旨在提出一种模型，即所谓的代表性本体层（RBL），该模型通过引入局部有效的本体离子浓度，使化学非隔离的固液界面（由于双电层相互作用）成为隔离的界面。使用RBL结合电三层模型为多物理化学传输方程式（PNP + NS）提供边界条件，我们研究了纳米通道中的反向电渗析（RED）。我们的建模结果表明，离子选择性膜的长度不仅影响离子电流，而且电流-电压曲线的斜率的对数随纳米通道长度与高度的比率线性增加。这个有趣的发现激励我们提出与纳米通道尺寸无关的电流-电压曲线的无量纲关系。目前的贡献数值框架可以阐明通过纳米流体装置和膜的电化学机械传输机理。这个有趣的发现激励我们提出与纳米通道尺寸无关的电流-电压曲线的无量纲关系。目前的贡献数值框架可以阐明通过纳米流体装置和膜的电化学机械传输机理。这个有趣的发现激励我们提出与纳米通道尺寸无关的电流-电压曲线的无量纲关系。目前的贡献数值框架可以阐明通过纳米流体装置和膜的电化学机械传输机理。