MATHEMATICAL MODELING OF THE MEMBRANE PORE CLOSING IN THE CASE OF THE ULTRAFILTRATION OF MINE WATERS

Details

Parent Category: Geo-Technical Mechanics, 2014

Category: Collection of scientific papers «Geotekhnicheskaya Mekhanika» Issue 115

UDC 622.5: 628.35

Authors:

N.N. Belyaev, D.Sc. (Tech.), Professor

 (DNURT named after V. Lazaryan)

N.P. Nechytaylo, Ph.D. (Tech.), Associate Proftssor

(SHEI «PSACEA»)

Abstract.

Ultrafiltration is one of the most promising methods of wastewater treatment. With this method it is very important to predict the process of clogging the pores of the membrane. In this paper we presented a numerical model of the process. The model is based on equations of motion of an ideal fluid and mass transfer equation.  For numerical simulation the finite difference schemes are used. The numerical calculation is carried out on a rectangular grid. For the formation of the computational domain and its change due to the clogging of the pores markers are used. The model allows to calculate the process of clogging pores using computers small and medium power. Calculation time of one variant of the problem is a few seconds. The results of a computational experiment are presented.

Keywords.

numerical simulation, ultra filtration, decreasing of the pore

References:

1. Bryik, M.T. and Tsapyuk, E.A. (1989), Ultrafiltratsiya [Ultra-filtration], Naukova Dumka, Kiev, Ukraine.

2. Zgurovskiy, M.Z., Skopetskiy, V.V., Hrusch, V.K. and Belyaev, N.N. (1997), Chislennoe modelirovaniye rasprostraneniya zagryazneniya v okruzhayuschey srede [Numeral design of distribution of contamination in an environment  – Naukova dumka, Kiev, Ukraine.

3. Loytsyanskiy, L. G. (1978), Mehanika zhidkosti i gaza [Mechanics of liquid and gas], Nauka, Moscow, SU.

4. Marchuk, G. I. (1982), Matematicheskoye modelirovaniye v probleme okruzhayuschhey sredy [Mathematical modeling in the problem of environment], Nauka, Moscow, SU.

5. Samarskiy, A. A. (1983), Teoriya raznostnykh skhem [Theory of difference charts], Nauka, Moscow, SU.

6. Polyakov Yu. S. “Benefical Effect of Practicle Adsorption in UF/MF Outside-In Hollow Fiber Filters” // Proceedings of the 2005 Annual Meeting of North American Membrane Society, Providence, Rhode Island, June 11 – 15, 2005, pp. 66 – 77.

7. Polyakov Yu. S. Hollow fiber membrane adsorber: Mathematical model // J. Member. Sci. 2006. V. 280, P. 610.

About the authors:

BelyaevNikolaiNikolaievich, Doctor of Technical Sciences D.Sc (Tech.), professor, head of the department «Gydraulics and water supply» of Dnepropetrovsk national university of railway transport named after V. Lazaryan. Dnepropetrovsk, Ukraine.   

Nechytailo Nikolai Petrovich, Candidate of Technical Sciences Ph.D. (Tech.), Associate Professor of the department «Gydraulics» of Pridneprovskaya State Academy of Civil Engineering and Architecture.

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