2023-11-172023-11-172023Song, L. (2023). A concise analytical model for the ideal reverse osmosis desalination processes. Water Environment Research, 95(10), e10939. https://doi.org/10.1002/wer.10939https://doi.org/10.1002/wer.10939https://hdl.handle.net/2346/96777Under embargo until 10 October 2024. This is the peer reviewed version of this article, which has been published in final form at https://doi.org/10.1002/wer.10939. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.Permeate recovery is a key parameter that plays a central role in the performance assessment and optimization of reverse osmosis processes. It remains a great challenge for engineers in the field to determine the recovery conveniently and accurately from the basic parameters of a membrane system. A concise analytical model is presented here that, without the need for the empirical or fitting coefficients and tedious numerical calculation, links the recovery of a reverse osmosis process rigorously to three basic parameters: the feed water salt concentration, the characteristic of membrane process, and the driving pressure. A graphical solution method to the model is also introduced to find out the recovery effortlessly. The concise model and graphical method are demonstrated under various conditions as a powerful tool for the performance simulations and improvement of reverse osmosis processes.en-USAnalytical ModelDesalinationGraphical Solution MethodPermeate RecoveryReverse Osmosis ProcessArticle