COMPUTER PREDICTION OF TECHNOLOGICAL REGIMES OF RAPID CONE-SHAPED ADSORPTION FILTERS WITH CHEMICAL REGENERATION OF HOMOGENEOUS POROUS LOADS

Andrii Bomba


National University of Water and Environmental Engineering, Dept. of Applied Mathematics, Rivne, Ukraine (Ukraine)
http://orcid.org/0000-0001-5528-4192

Yurii Klymyuk

klimyuk@ukr.net
National University of Water and Environmental Engineering, Department of Applied Mathematics (Ukraine)
http://orcid.org/0000-0003-3672-8469

Ihor Prysіazhnіuk


Rivne State University of Humanities, Dept. of Hanging Mathematics, Rivne, Ukraine. (Ukraine)
http://orcid.org/0000-0003-4531-1788

Abstract

Mathematical models for predicting technological regimes of filtration (water purification from the present impurities), backwashing, chemical regeneration and direct washing of rapid cone-shaped adsorption filters, taking into account the influence of temperature effects on the internal mass transfer kinetics at constant rates of the appropriate regimes, are formulated. Algorithms for numerical-asymptotic approximations of solutions of the corresponding nonlinear singularly perturbed boundary value problems for a model cone-shaped domain bounded by two equipotential surfaces and a flow surface are obtained. The proposed models in the complex allow computer experiments to be conducted to investigate the change of impurity concentrations in the filtration flow and on the surface of the load adsorbent, temperature of the filtration flow, filtration coefficient and active porosity along the filter height due to adsorption and desorption processes, and on their basis, to predict a good use of adsorbents and increase the protective time of rapid cone-shaped adsorption filters with chemical regeneration of homogeneous porous loads.


Keywords:

mathematical model, process of water purification, adsorption, rapid cone-shaped filter, chemical regeneration, homogeneous porous load

Bomba A. Ya., Klymiuk Yu. Ye.: Mathematical modeling of spatial singular-perturbed filtration-convection-diffusion processes. TzOV firma "Assol", Rivne 2014.
  Google Scholar

Bomba A. Ya., Prysiazhniuk I. M., Prysiazhniuk O. V.: Methods of perturbation theory for predicting heat transfer processes in porous and microporous media. O. Zen, Rivne 2017.
  Google Scholar

Bomba A. Ya., Safonyk A. P.: Modeling of nonlinearly perturbed processes of purification of liquids from multicomponent contaminants. NUVHP, Rivne 2017.
  Google Scholar

Edzwald J.: Water Quality & Treatment. A Handbook on Drinking Water, McGraw-Hill Professional, 2010.
  Google Scholar

Heikkinen M., Poutiainen H., Liukkonen M., Heikkinen T., Hiltunen Y.: Self-organizing maps in the analysis of an industrial wastewater treatment process. Mathematics and Computers in Simulation 82(3), 2011, 450–459.
DOI: https://doi.org/10.1016/j.matcom.2010.10.021   Google Scholar

Hendricks D. W.: Fundamentals of water treatment unit processes: physical, chemical, and biological. CRC Press, Boca Raton 2011.
  Google Scholar

Ives K. J.: Deep-bed water filters. New developments. Filtr. and Separ. 6(1), 1969, 42–48.
  Google Scholar

Kalteh A. M., Hjorth P., Berndtsson R.: Review of the self-organizing map (SOM) approach in water resources: analysis, modelling and application. Environmental Modelling and Software 23(7), 2008, 835–845.
DOI: https://doi.org/10.1016/j.envsoft.2007.10.001   Google Scholar

Klimjuk Ju. Je.: Construction of filtration fields for rapid filters conical shape with homogeneous porous loads. Proceedings of II International scientific conference “World Science in 2016: Results”. Lulu Press, Morrisville 2017, 95–99.
  Google Scholar

Klimjuk Ju. Je.: Prediction of changes in the characteristics of filter materials in rapid cone-shaped waterpurifying filters. Innovative solutions in modern science 8(27), 2018, 72–84.
  Google Scholar

Nevzorova A.B.: Fundamentals of automation of water supply and sanitation. UO BelGUT, Gomel 2005.
  Google Scholar

Maleki A., Pajootan E., Hayati B.: Ethyl acrylate grafted chitosan for heavy metal removal from wastewater: Equilibrium, kinetic and thermodynamic studies. Journal of the Taiwan Institute of Chemical Engineers 51(0), 2015, 127–134.
DOI: https://doi.org/10.1016/j.jtice.2015.01.004   Google Scholar

Maier H. R., Dandy G. C.: Neural networks for the prediction and forecasting of water resources variables: a review of modelling issues and applications. Environmental Modelling and Software 15(1), 2000, 101–124.
DOI: https://doi.org/10.1016/S1364-8152(99)00007-9   Google Scholar

Makarevich N. A., Bogdanovich N. I.: The theoretical basis of adsorption. SAFU, Arkhangelsk 2015.
  Google Scholar

Mincz D. M.: Theoretical foundations of water purification technology. Strojizdat, Moscow 1964.
  Google Scholar

Safonyk A. P.: Modelling the filtration processes of liquids from multicomponent contamination in the conditions of authentication of mass transfer coefficient. International Journal of Mathematical Models and Methods in Applied Sciences 9, 2015, 189–192.
  Google Scholar

Sakalova H. V., Vasylinych T. M.: Investigation of the efficiency of purification of heavy metal ions from wastewater using natural adsorbents. TOV Tvory, Vinnytsia 2019.
  Google Scholar

Vries D., Bertelkamp C., Schoonenberg Kegel F., Hofs B., Dusseldorp J., Bruins J. H., de Vet W., van den Akker B.: Iron and manganese removal: Recent advances in modelling treatment efficiency by rapid sand filtration. Water Research 109, 2017, 35–45.
DOI: https://doi.org/10.1016/j.watres.2016.11.032   Google Scholar

Zevi Y., Dewita S., Aghasa A., Dwinandha D.: Removal of Iron and Manganese from Natural Groundwater by Continuous Reactor Using Activated and Natural Mordenite Mineral Adsorption. International IOP Conf. Ser., Earth Environ. Sci, 111, 2018, 012016, 1–7.
DOI: https://doi.org/10.1088/1755-1315/111/1/012016   Google Scholar

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Published
2020-12-20

Cited by

Bomba, A., Klymyuk, Y., & Prysіazhnіuk I. (2020). COMPUTER PREDICTION OF TECHNOLOGICAL REGIMES OF RAPID CONE-SHAPED ADSORPTION FILTERS WITH CHEMICAL REGENERATION OF HOMOGENEOUS POROUS LOADS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 10(4), 19–24. https://doi.org/10.35784/iapgos.2107

Authors

Andrii Bomba 

National University of Water and Environmental Engineering, Dept. of Applied Mathematics, Rivne, Ukraine Ukraine
http://orcid.org/0000-0001-5528-4192

Authors

Yurii Klymyuk 
klimyuk@ukr.net
National University of Water and Environmental Engineering, Department of Applied Mathematics Ukraine
http://orcid.org/0000-0003-3672-8469

Authors

Ihor Prysіazhnіuk 

Rivne State University of Humanities, Dept. of Hanging Mathematics, Rivne, Ukraine. Ukraine
http://orcid.org/0000-0003-4531-1788

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