Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Mathematical Models for Removal of Pharmaceutical Pollutants in Rehabilitated Treatment Plants

Version 1 : Received: 19 September 2024 / Approved: 19 September 2024 / Online: 19 September 2024 (12:45:12 CEST)

How to cite: Meghea, I. Mathematical Models for Removal of Pharmaceutical Pollutants in Rehabilitated Treatment Plants. Preprints 2024, 2024091530. https://doi.org/10.20944/preprints202409.1530.v1 Meghea, I. Mathematical Models for Removal of Pharmaceutical Pollutants in Rehabilitated Treatment Plants. Preprints 2024, 2024091530. https://doi.org/10.20944/preprints202409.1530.v1

Abstract

This paper aims to investigate appropriate mathematical models devoted to optimization of some cleaning processes related to pharmaceutical contaminants removal. In our previous recent works has been reported that a possibility for removal from water sources of this type of micropollutants is to rehabilitate the existing cleaning plants by introducing efficient techniques such as adsorption on granulated active carbon filters, micro-, nano- or ultrafiltration. To have such processes under a better control and to pass from small to large scale treatment stations, specific mathematical models are necessary. Starting from Navier-Stokes equations and imposing proper boundary conditions, some mathematical physics problems are obtained for which adequate solving methods via variational methods and surjectivity results are proposed. The importance of these solution characterizations consists in their continuation in a numerical method and the possibility to visualize the result by using CFD program.

Keywords

mathematical model; Navier-Stokes equations; pharmaceutical pollutants; infiltration through membranes; flow through porous media; rehabilitation of existing cleaning plants

Subject

Computer Science and Mathematics, Applied Mathematics

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