A porous media approach for analyzing a spiral-wound reverse osmosis desalination module

Y. Sano, A. Horibe, N. Haruki, A. Nakayama

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A mathematical model for spiral-wound reverse osmosis systems has been established using a porous media approach. Transport processes through membranes were investigated fully taking account of concentration polarization associated with spiral-wound reverse osmosis desalination systems. A set of the governing equations, namely, the continuity, momentum and concentration equations, have been derived for three distinctive phases, namely, brine, permeate and membrane phases, following the procedure previously proposed by Nakayama and Sano for the analysis of hollow fiber desalination modules. The first order differential equations in terms of the average velocity, pressure and salt concentration for the brine phase are integrated with an algebraic equation for the permeate flow rate per unit volume in order to estimate the permeate salinity, flow rate and pressure drop in spiral-wound reverse osmosis modules. The present analytical results agree fairly well with available experiment data reported by Avlonitis et al., substantiating the validity of the governing equations based on the porous media approach for spiral-wound reverse osmosis systems. The present model can be used to design a spiral-wound reverse osmosis desalination systems, without resorting to extensive finite difference calculations.

Original languageEnglish
Title of host publicationProceedings of the 15th International Heat Transfer Conference, IHTC 2014
PublisherBegell House Inc.
Publication statusPublished - 2014
Event15th International Heat Transfer Conference, IHTC 2014 - Kyoto, Japan
Duration: Aug 10 2014Aug 15 2014

Other

Other15th International Heat Transfer Conference, IHTC 2014
CountryJapan
CityKyoto
Period8/10/148/15/14

Keywords

  • Mass transfer and drying
  • Porous media
  • Reverse osmosis
  • Spiral-wound module

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics

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    Sano, Y., Horibe, A., Haruki, N., & Nakayama, A. (2014). A porous media approach for analyzing a spiral-wound reverse osmosis desalination module. In Proceedings of the 15th International Heat Transfer Conference, IHTC 2014 Begell House Inc..