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Updated: Oct 10, 2025

Ion-Exchange Membranes for the Fabrication of Reverse Electrodialysis Device
Published on: July 20, 2021
Salt and Water Transport in Reverse Osmosis Membranes: Beyond the Solution-Diffusion Model
Li Wang1, Tianchi Cao1, Jouke E Dykstra2
1Department of Chemical and Environmental Engineering, Yale University, New Haven, Connecticut 06520-8286, United States.
A new solution-friction model for reverse osmosis (RO) reveals complex ion-water-membrane interactions, improving understanding of salt-water separation beyond the traditional solution-diffusion model.
Area of Science:
- Membrane science
- Physical chemistry
- Chemical engineering
Background:
- The solution-diffusion (SD) model is standard for reverse osmosis (RO) but lacks detail on molecular transport.
- Accurate modeling of water and ion transport is crucial for advancing RO technology.
Purpose of the Study:
- To develop a new ion transport model for RO, termed the solution-friction model.
- To incorporate partitioning and inter-species friction mechanisms into RO transport modeling.
- To challenge the assumptions of the traditional SD model.
Main Methods:
- Developed the solution-friction model using the extended Nernst-Planck equation.
- Incorporated friction terms for ion-membrane, water-membrane, and water-ion interactions.
- Validated the model with experimental salt rejection and permeate flux data.
Main Results:
- The solution-friction model accurately predicts RO performance.
- Salt permeability shows strong dependence on feed concentration and pressure, unlike SD model predictions.
- Cross-membrane transport, not membrane-internal, dominates pressure drop, contradicting SD assumptions.
Conclusions:
- The solution-friction model offers a more mechanistic understanding of RO transport.
- This model highlights the limitations of the SD model in describing complex interactions.
- Findings provide a basis for optimizing RO processes through a deeper mechanistic insight.
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