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dc.contributor.authorCalo, Victor M.
dc.contributor.authorIliev, Oleg
dc.contributor.authorNunes, Suzana Pereira
dc.contributor.authorPrintsypar, Galina
dc.contributor.authorShi, Meixia
dc.date.accessioned2018-05-15T05:25:52Z
dc.date.available2018-05-15T05:25:52Z
dc.date.issued2018-05-11
dc.identifier.citationCalo VM, Iliev O, Nunes SP, Printsypar G, Shi M (2018) Cell-element simulations to optimize the performance of osmotic processes in porous membranes. Computers & Mathematics with Applications. Available: http://dx.doi.org/10.1016/j.camwa.2018.04.023.
dc.identifier.issn0898-1221
dc.identifier.doi10.1016/j.camwa.2018.04.023
dc.identifier.urihttp://hdl.handle.net/10754/627874
dc.description.abstractWe present a new module of the software tool PoreChem for 3D simulations of osmotic processes at the cell-element scale. We consider the most general fully coupled model (see e.g., Sagiv and Semiat (2011)) in 3D to evaluate the impact on the membrane performance of both internal and external concentration polarization, which occurs in a cell-element for different operational conditions. The model consists of the Navier–Stokes–Brinkman system to describe the free fluid flow and the flow within the membrane with selective and support layers, a convection–diffusion equation to describe the solute transport, and nonlinear interface conditions to fully couple these equations. First, we briefly describe the mathematical model and discuss the discretization of the continuous model, the iterative solution, and the software implementation. Then, we present the analytical and numerical validation of the simulation tool. Next, we perform and discuss numerical simulations for a case study. The case study concerns the design of a cell element for the forward osmosis experiments. Using the developed software tool we qualitatively and quantitatively investigate the performance of a cell element that we designed for laboratory experiments of forward osmosis, and discuss the differences between the numerical solutions obtained with the full 3D and reduced 2D models. Finally, we demonstrate how the software enables investigating membrane heterogeneities.
dc.description.sponsorshipThis publication was made possible in part by the CSIRO Professorial Chair in Computational Geoscience at Curtin University and the Deep Earth Imaging Enterprise Future Science Platforms of the Commonwealth Scientific Industrial Research Organisation, CSIRO, of Australia. Additional support was provided by the European Union’s Horizon 2020 Research and Innovation Program of the Marie Skłodowska-Curie Grant Agreement No. 644202, by the Mega-grant of the Russian Federation Government (N 14.Y26.31.0013), by the Curtin Institute for Computation, and by the Center for Numerical Porous Media at King Abdullah University of Science and Technology (KAUST). The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES. Also we would like to acknowledge the funding received through the SABIC Postdoctoral Fellowship scheme at KAUST which partially supported this research project.
dc.publisherElsevier BV
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0898122118302293
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computers & Mathematics with Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers & Mathematics with Applications, [, , (2018-05-11)] DOI: 10.1016/j.camwa.2018.04.023 . © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectForward osmosis
dc.subjectMathematical modeling
dc.subjectCell element
dc.subjectPorous membranes
dc.subjectHeterogeneous and defective selective layer
dc.titleCell-element simulations to optimize the performance of osmotic processes in porous membranes
dc.typeArticle
dc.contributor.departmentBiological and Environmental Sciences and Engineering (BESE) Division
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.identifier.journalComputers & Mathematics with Applications
dc.eprint.versionPost-print
dc.contributor.institutionMineral Resources, Commonwealth Scientific and Industrial Research Organization (CSIRO), Kensington, WA 6152, Australia
dc.contributor.institutionCurtin University, Applied Geology Department, Western Australian School of Mines, Faculty of Science and Engineering, Perth, WA 6845, Australia
dc.contributor.institutionInstitute of Mathematics, BAS, Acad. G. Bonchev str., Bldg. 8, Sofia 1113, Bulgaria
dc.contributor.institutionFlows and Materials Simulation Department, Fraunhofer Institute for Industrial Mathematics, Kaiserslautern 67663, Germany
dc.contributor.institutionMathematical Institute, University of Oxford, Oxford OX2 6GG, UK
kaust.personNunes, Suzana Pereira
kaust.personShi, Meixia
dc.date.published-online2018-05-11
dc.date.published-print2018-07


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