CFD-model of the mass transfer in the vertical settler


  • E. K. Nagornaya Department of Hydraulics, Prydneprovsk State Academy of Civil Engineering and Architecture



vertical settler, CFD model, numerical simulation, mass transfer


Purpose. Nowadays the mathematical models of the secondary settlers are intensively developed. As a rule the engineers use the 0-D models or 1-D models to design settlers. But these models do not take into account the hydrodynamics process inside the settler and its geometrical form. That is why the CFD-models based on Navier - Stokes equations are not widely used in practice now. The use of CFD-models based on Navier - Stokes equations needs to incorporate very refine grid. It is very actually now to develop the CFD-models which permit to take into account the geometrical form of the settler, the most important physical processes and needs small computer time for calculation. That is why the development of the 2-D numerical model for the investigation of the waste waters transfer in the vertical settlers which permits to take into account the geometrical form and the constructive features of the settler is essential. Methodology. The finite - difference schemes are applied. Findings. The new 2-D-CFD-model was developed, which permits to perform the CFD investigation of the vertical settler. This model takes into account the geometrical form of the settler, the central pipe inside it and others peculiarities. The method of «porosity technique» is used to create the geometrical form of the settler in the numerical model. This technique permits to build any geometrical form of the settler for CFD investigation. Originality. Making of CFD-model which permits on the one hand to take into account the geometrical form of the settler, basic physical processes of mass transfer in construction and on the other hand requiring the low time cost in order to obtain results. Practical value. CFD-model is designed and code which is constructed on its basis allows at low cost of computer time and about the same as in the calculation of the 1-D model to solve complex multiparameter problems that arise during the design of vertical settlers with their shape and design features.

Author Biography

E. K. Nagornaya, Department of Hydraulics, Prydneprovsk State Academy of Civil Engineering and Architecture

Chernishevskogo, 24a, Dnepropetrovsk, 49600, Ukraine, tel. +380667521332, e-mail:


Belyayev N.N., Nagornaya H.K. 3D raschet vertikalnogo otstoynika na baze CFD modeli [3D calculation of vertical settler based on CFD model]. Naukovi pratsi Vinnytskoho natsionalnoho tekhnichnoho universitetu [Scientific works of Vinnytsia National Technical University], Vinnytsia, 2012, no. 3, pp. 1-10. Available at: (Accessed 28 January 2013).

Belyayev N.N., Nagornaya E.K. K raschetu protsessa massoperenosa v vertikalnom otstoynike [Calculation of mass transfer in a vertical settler]. Voda i vodoochisni tekhnolohii. Naukovo-tekhnichni visti – Water and wastewater treatment technologies. Scientific and technical news, 2012, no. 3 (9), pp. 32-40.

Belyayev N.N., Nagornaya E.K., Horsev P.V., Tischenko S.S. Modelirovaniye protessa massoperenosa s uchetom energoeffektivnosti v vertikalnom otstoynike [Modeling of mass transfer in view of energy efficiency in the vertical settler]. Energozberezennia v budivnytstvi ta arkhitekturi [Energy savings in construction and architecture], Kiev, 2012, no. 3, pp. 114-120.

Davydov E.I., Lyamayev B.F. Issledovaniye i raschet vertikalnogo otstoynika so spiralno-navitoy nasadkoy [Investigation and calculation of vertical settler with spiral-wound packing]. Inzhenerno-stroitelnyy zhurnal − Magazine of Civil Engineering, 2011, no. 5, pp. 10-15.

Zhurovskiy M.Z., Skopetskiy V.V., Khrushch V.K., Belyayev N.N. Chyslennoye modelyrovaniye raspros-traneniya zagryazneniya v okruzhayushchey srede [Numerical modeling of pollution in the environment]. Kiev, Naukova dumka Publ., 1997. 368 p.

Loytsyanskiy L.H. Mekhanika zhidkosti i gaza [Fluid and Gas Mechanics]. Moscow, Nauka Publ., 1978. 735 p.

Marchuk H.Y. Matematicheskoye modelirovaniye v probleme okruzhayushchey sredy [Mathematical modeling in the environmental problem]. Moscow, Nauka Publ., 1982. 320 p.

Oleynik A.Ya., Kalugin Yu.Y., Stepovaya N.G., Zyablikov S.M. Teoretycheskiy analiz protsessov osazhdeniya v sistemakh biologicheskoy ochistki stochnykh vod [Theoretical analysis of deposition processes in biological wastewater treatment]. Prikladnaya gidromekhanika − Applied Hydromechanics, 2004, no. 4, pp. 62-67.

Samarskiy A.A. Teoriya raznostnykh skhem [The theory of difference schemes]. Moscow, Nauka Publ., 1983. 616 p.

Stepova N.H., Kaluhin Yu.I., Oliynyk O.Ya. Do rozrakhunku vertykalnoho vidstiinyka z urakhuvanniam formy yoho nyzhnoi chastyny [Calculation of vertical settler with the shape of its bottom]. Problemy vodopostachannia, vodovidvedennia ta hidravliky [Problems of water supply, sewerage and hydraulic], 2010, no. 14, pp. 145-151.

Tavartkyladze I.M., Kravchuk A.M., Nechypor O.M. Matematicheskaya model rascheta vertikalnykh otstoynikov s peregorodkoy [A mathematical model for calculating vertical tanks with divider]. Vodosnabzheniye i sanitarnaya tekhnika − Water supply and sanitary engineering, 2006, no. 1, part 2, pp. 39-42.

Al-Qudah O.M., Walton J.C. Sedimentation Tank Simulation Design and Application in Wadi Al-Arab WWTP (Jordan). 18 р. Available at: (Accessed 28 January 2013).

Bürger R., Diehl S., Nopens I. A consistent modeling methodology for secondary settling tanks in wastewater treatment. Water Research, 2011, no. 45(6), pp. 2247-2260.

Holenda B. Development of modeling, control and optimization tools for the activated sludge process. Cand. Diss. Pannonia, 2007. 155 р.

Holenda B., Pasztor I., Karpati A., Redey A. Comparison of one-dimensional secondary settling tank models. E-Water Official Publication of the European Water Association (EWA), EWA, 2006, 17 р. Available at: (accessed 28 January 2013).

David R., VandeWouwer A., Saucez P., Vasel J.-L. Classical Models of Secondary Settlers Revisited. [Proc. 16th European Symposium on Computer Aided Process Engineering (ESCAPE 2006) and 9th International Symposium on Process Systems Engineering]. Belgium, 2006, pp. 677-682.

Griborio A. Secondary Clarifier Modeling: A Multi-Process Approach. Doct. Diss. New Orleans, USA, 2004. 440 p.

Plosz B. G., Nopens I, Rieger L., Griborio A., De Clercq J., Vanrolleghem P.A., Daigger G.T., Takacs, Wicks J., Ekama G.A. A critical review of clarifier modeling: State-of-the-art and engineering practices. [Proc. 3rd IWA/WEF Wastewater Treatment Modeling Seminar (WWTmod2012)]. Mont-Sainte-Anne, Quebec, 2012, pp. 27-30.

Plosz B.G., Clercq J.De, Nopens I., Benedetti L., Vanrolleghem P.A. Shall we upgrade one-dimensional sec-ondary settler models used in WWTP simulators? – An assessment of model structure uncertainty and its prop-agation. Water Science and Technology, 2011, no. 63(8), pp. 1726-1738.

Ramin E., Sin G., Mikkelsen P.S., Plosz B.G. Significance of uncertainties derived from settling tank model structure and parameters on predicting WWTP performance – A global sensitivity analysis study [Proc. 8th IWA Symposium on Systems Analysis and Integrated Assessment Watermatex 2011]. San Sebastian, 2011, pp. 476-483.

Schamber D.R., Larock B.E. Numerical analysis of flow in sedimentation basins. Journal Hydraulic Division, 1981. pp. 595-591.

Shahrokhi M., Rostami F., Md Azlin Md Said, Syafalni. The Computational Modeling of Baffle Configuration in the Primary Sedimentation Tanks [Proc. 2nd International Conference on Environmental Science and Tech-nology]. Singapore, 2011, vol. 6, pp. V2-392-V2-396.

Shaw A., McGuffie S., Wallis-Lage C., Barnard J. Optimizing Energy Dissipating Inlet (Edi) Design In Clarifiers Using An Innovative CFD Tool. Water Environment Federation (WEFTEC), 2005, pp. 8719-8736.

Stamou A.I., Latsa M., Assimacopoulos D. Design of two-storey final settling tanks using mathematical models. Journal of Hydroinformatics, 2000, no. 2(4), pp. 235-245.



How to Cite

Nagornaya, E. K. (2013). CFD-model of the mass transfer in the vertical settler. Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, (1(43), 39–50.