Modeling the process of filtration of a fluid from a multicomponent pollution by a spatial filter under the condition of identification of the mass-exchange coefficient

TitleModeling the process of filtration of a fluid from a multicomponent pollution by a spatial filter under the condition of identification of the mass-exchange coefficient
Publication TypeJournal Article
Year of Publication2014
AuthorsBomba, AYa., Safonyk, AP
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.11.026
Issue11
SectionInformation Science and Cybernetics
Pagination26-32
Date Published11/2014
LanguageUkrainian
Abstract

The problem of modeling of the process of purification of liquids from a multicomponent pollution by a spatial filter is considered. The influence of the determining factors (concentrations of the contamination and the sediment) on the environmental characteristics (porosity coefficient, diffusion) is taken into account. The problem provides the opportunity for the definition of a small mass exchange factor under conditions of domination of convective constituents over diffusive ones. An algorithm of solution the corresponding nonlinear inverse singularly perturbed task of the convection–diffusion–mass exchange type is proposed.

Keywordsfiltration of a fluid, modeling, pollution by a spatial filter
References: 

1. Elimelech M. Water Research, 1992, 26, No 1: 1–8. https://doi.org/10.1016/0043-1354(92)90104-C
2. Elimelech M. Separ. Technology, 1994, 4: 186–212.
3. Jegatheesan V. Effect of surface chemistry in the transient stages of deep bed filtration. PhD Thesis, Univ. of Technology, Sydney, 1999.
4. Johnson P. R., Elimelech M. Langmuir., 1995, 11, No 3: 801–812. https://doi.org/10.1021/la00003a023
5. Ison C. R., Ives K. J. Che. Engng. Sci., 1969, 24: 717–729. https://doi.org/10.1016/0009-2509(69)80064-3
6. Ives K. J. Water Research, 1970, 4, No 3: 201–223. https://doi.org/10.1016/0043-1354(70)90068-0
7. Bomba A. Ya., Baranovsky S. V., Prisyazhnyuk I. M. Nonlinear singularly-perturbed problem "convection-diffusion", Rivne: NUVGP, 2008 (in Ukrainian).
8. Bomba A. Ya., Gavrilyuk V. I., Safonik A. P., Fursachik O. A. Nonlinear filtering problem type-convection-diffusion-mass transfer under conditions of incomplete data, Rivne: NUVGP, 2011 (in Ukrainian).
9. Ivanchov N. I. Sib. mat. zhurn., 1998, 39, No 3: 539–550 (in Russian).
10. Sergienko I. V., Deyneka V. S. Kibernetika i system. analiz, 2007, No 5: 48–71 (in Russian).
11. Sergienko I. V., Deyneka V. S. Probl. upravleniia i informatiki, 2010, No 6: 5–18 (in Russian).