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The need to simulate the conditions of transport of the pollutants and the dissolved oxygen in the flux of sewage arises in the modelling of sewage biode´gradation process in gravitational sewer system. In the properly kept sewers, sewage flow velocity is generally uniform, which allows the model describing the pollutant transport to be simplified. The application of further simplifying assumptions, justified by the conditions inside the modelled object, allows us to get the credible results with the acceptable efforts. These simplifications can be considered, depending on the costs of data for model calibration measurement and the numerical calculation costs. The present work is focused on finding the most convenient description of transport and transformation of dissolved and suspended substances by the advection-dispersion formulas, being one-dimensional description of sewage flow. The literature review concerning various treatment of longitudinal dispersion coefficient was presented. The influence of flow conditions in the modelled system on the dispersion coefficient was also shown. Finally, the matrix description of pollutant fraction transport and biodegradation in gravitational sanitation conduit based on advection-dispersion equation, along with the example of numerical procedure, was described.
Czasopismo
Rocznik
Tom
Strony
305--317
Opis fizyczny
bibliogr. 15 poz.
Twórcy
autor
autor
autor
- Institute of Environmental Protection Engineering, Faculty of Environmental Engineering, Lublin University of Technology, Lublin, G.Lagod@wis.pol.lublin.pl
Bibliografia
- [1] ADAMSKI W., Modelowanie systemów oczyszczania wód, PWN, Warszawa, 2002.
- [2] HU B., MATAR O.K., HEWITT G.F., ANGELI P., Population balance modelling of phase inversion in liquid–liquid pipeline flows, Chemical Engineering Science, 2006, Vol. 61, 4994–4997.
- [3] HUISMAN J.L., BURCKHARDT S., LARSEN T., KREBS P., GUJER W., Propagation of waves and dissolved compounds in a sewer, Journal of Environmental Engineering ASCE, 2000, Vol. 128, No. 1, 12–20.
- [4] HUISMAN J.L., Transport and transformation process in combined sewers, IHW Shriftenfreihe, 2001, Vol. 10, 1–180.
- [5] JAMES A., Mathematical models in water pollution control, John Wiley and Sons Ltd., Chichester, New York, 1978.
- [6] JØRGENSEN S.E., Application of ecological modelling in environmental management, part A, [in:] Developments in Environmental Modelling, 4A, Elsevier Scientific Publishing Company, Amsterdam, Oxford, New York, 1983.
- [7] KASHEFIPOUR S.M., FALCONER R.A., Longitudional dispersion coefficient in natural channels, Water Research, 2002, Vol. 36, 1596–1608.
- [8] KRUKOWSKI M., Porównanie wartości współczynników dyspersji zanieczyszczeń pasywnych wyznaczonych z pomiarów na rzece Wkrze z obliczonymi zależnościami empirycznymi, Przegląd Naukowy, Inżynieria i Kształtowanie Środowiska, 2002, Vol. 1, No. 24, 228–239.
- [9] ROMAN M., Kanalizacja – oczyszczanie ścieków, Tom 2, Arkady, Warszawa, 1986.
- [10] SAWICKI J.M., Migracja zanieczyszczeń, Wydawnictwo Politechniki Gdańskiej, Gdańsk, 2003.
- [11] SZYMKIEWICZ R., Modelowanie matematyczne przepływów w rzekach i kanałach, PWN, Warszawa, 2000.
- [12] VAN DER LINDE S.C., NIJHUIS T.A., DEKKER F.H.M., KAPTEIJN F., MOULIJN J.A., Mathematical treatment of transient kinetic data: Combination of parameter estimation with solving the related partial differential equations, Applied Catalysis A: General, 1997, Vol. 151, 27–57.
- [13]WANG R., KEAST P., MUIR P., A comparison of adaptive software for 1D parabolic PDEs, Journal of Computational and Applied Mathematics, 2004, Vol. 169, 127–150.
- [14]WANG R., KEAST P., MUIR P., A high-order global spatially adaptive collocation metod for 1-D parabolic PDEs, Applied Numerical Mathematics, 2004a, Vol. 50, 239–260.
- [15] ZOPPOU C., Review of urban storm water models, Environmental Modelling and Software, 2001, Vol. 16, 195–231.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW8-0009-0103