The mathematical and numerical simulation model of the liquid steel flow in a tundish is presented in this paper. The problem was treated as a complex and solved by the finite element method. The single-strand slab tundish is used to continuous casting slabs. The internal work space of the tundish was modified by the following flow control devices. The first device was a striker pad situated in the pouring tundish zone. The second device was a baffle with three holes and the third device was a baffle without hole. The main purpose of using these devices was to cause a quiet liquid mixing as well as give directional metal flow upwards which facilitated inclusion floatation. The interaction of flow control devices on hydrodynamic conditions was received from numerical simulation. As a result of the computations carried out, the liquid steel flow and steel temperature fields were obtained. The influence of the tundish modification on velocity fields in the liquid phase of steel was estimated, because these have an essential influence on high quality of a continuous steel cast slab.
 Pardeshi, R., Basak, S., Singh, A.K., Basu, B., Mahashabde, V., Roy, S.K. & Kumar, S. (2004). Mathematical modeling of the tundish of a single-strand slab caster. ISIJ International. 44(9), 1534-1540.
 Szajnar, J. & Sebzda, W. (2011). Simulation of the ingot extraction in the continuous casting process. Archives of Foundry Engineering. 11(3), 93-100.
 López-Ramírez, S., Barreto, J. De J., Vite-Martínez, P., Romero Serrano, J.A. & Duran-Valencia, C. (2004). Physical and mathematical determination of the influence of input temperature changes on the molten steel flow characteristics in slab tundishes. Metallurgical and Materials Transactions B. 35B(10), 957-966.
 Miki, Y. &. Thomas, B.G. (1999). Modeling of inclusion removal in a tundish, Metallurgical and Materials Transactions B. 30B(4), 639-654.
 Cwudziński, A. & Jowsa, J. (2012). Numerical analysis of liquid steel flow structure in the one strand slab tundish with subflux turbulence controller and dam. Archives of Metallurgy and Materials. 57(1), 297-301. DOI: 10.2478/ v10172-012-0026-3.
 Liu, S., Yang, X., Du, L., Li, L. & Liu, Ch. (2008). Hydrodynamic and mathematical simulations of flow field and temperature profile in an asymmetrical T-type singlestrand continuous casting tundish. ISIJ International. 48(12), 1712-1721.
 Sowa, L. & Bokota, A. (2012). Numerical simulation of the molten steel flow in the tundish of CSC machine. Archives of Metallurgy and Materials. 57(4), 1163-1169. DOI: 10.2478/ v10172-012-0130-4.
 Skrzypczak, T. & Węgrzyn-Skrzypczak, E. (2011). Threedimensional numerical model of solidification with motion of the liquid phase. Archives of Foundry Engineering. 11(2), 127-132.
 Dyja, R. & Sczygiol, N. (2011). Method for determining the formation of shrinkage defects in the castings. Archives of Foundry Engineering. 11(4), 35-40.
 Skrzypczak, T. & Węgrzyn-Skrzypczak, E. (2012). Mathematical and numerical model of solidification process of pure metals. International Journal of Heat and Mass Transfer. 55(15-16), 4276-4284.
 Sowa, L. (2010). Mathematical modelling of the filling process of a slender mould cavity. Scientific Research of the Institute of Mathematics and Computer Science. 2(9), 219-227.
 Majchrzak, E., Mochnacki, B., Dziewoński, M. & Jasiński, M. (2008). Identification of boundary heat flux on the continuous casting surface. Archives of Foundry Engineering. 8(4), 105-110.
 Sowa, L. (2012). Numerical modeling the pressure die casting process of an angle plate. Archives of Mechanical Technology and Automation. 32(1), 55-63.
 Grzymkowski, R., Pleszczyński, M. & Hetmaniok, E. (2013). Problem of the moving boundary in continuous casting solved by the analytic-numerical method. Archives of Foundry Engineering. 13(1), 33-38.
 Piekarska, W., Kubiak, M. & Saternus, Z. (2012). Numerical modeling of thermal and structural strain in laser welding process. Archives of Metallurgy and Materials. 57(4), 1219-1227. DOI: 10.2478/v10172-012-0136-y.
 Konopka, Z., Łągiewka, M. & Zyska, A. (2007). Evaluation of the heat transfer coefficient at the metal-mould interface during flow. Archives of Foundry Engineering. 7(4), 101-104.