Solution-Friction Analytical Approximation as a Robust Model Framework for Low-Salt-Rejection Reverse Osmosis
Year: 2026
Type: article
Abstract: Low-salt-rejection reverse osmosis (LSRRO) is a promising approach for concentrating hypersaline brines using moderate hydraulic pressures, but predictive modeling of LSRRO membranes remains limited by empirical frameworks that require salinity-dependent fitting parameters. Here, we adapt and validate the solution-friction analytical approximation (SF-AA) as a simple, closed-form, and physically grounded model for low-salt-rejection membranes across a wide salinity range. Using three low-salt-rejection membranes, including a highly "leaky" membrane prepared by controlled chlorination, we conducted experiments with NaCl solutions of up to 3.64 M to measure water flux, salt rejection, and salinity-dependent salt permeability. With only three intrinsic membrane parameters, the SF-AA accurately captures the dependence of salt transport on both feed concentration and permeate flux, substantially outperforming the conventional model. These results establish the SF-AA as a robust and generalizable model for LSRRO and other membrane processes with leaky membranes and high salinity.
Authors: Rayan Alghanayem, Weifan Liu, Rui Chen, Shihong Lin
Institutions: Vanderbilt University, King Saud University
Language: English
Subfield: Water Science and Technology
Field: Environmental Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,500
Awards: G1326484903, G3150238734, Doctoral Dissertation: Social Reform Through Legal Action: Mobilizing the Family and Medical Leave Act in the Workplace, G4842305521, G4986763108, Collaborative Research: ECO-CBET: Solar-Driven Zero Liquid Discharge to Enable Inland Desalination for Climate-Adaptive Water Resilience
OpenAlex ID: W7124313387
