Mathematical model of solidification of the axisymmetric casting while taking into account its shrinkage

• Autorzy: Sowa L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the mathematical and numerical model of the solidification of a cylindrical shaped casting, while taking into account the process of the mould cavity filling with molten metal, has been proposed. The feeding of the casting by a riser head during solidification and the formation of shrinkage cavity has also been taken into consideration. The shape and depth of the shrinkage cavity distribution was estimated. One aim of the paper is to obtain a casting without shrinkage defects. Velocity fields were obtained by solving the Navier-Stokes equations and the continuity equation, while the thermal fields were obtained by solving the conduction equation containing the convection term. The changes in the thermophysical parameters, with respect to temperature, were taken into account. The problem was solved by the finite element method.

Słowa kluczowe

EN

mathematical modelling; solidification; shrinkage cavity; molten metal flow

PL

modelowanie matematyczne; krzepnięcie; jama skurczowa; przepływ ciekłego metalu

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 123--130
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Sowa L.

• Institute of Mechanics and Machine Design, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Dyja R., Sczygiol N., Domański Z., The formation of cavities in castings and their impact on the conditions of heat dissipation, Proceedings of the International Multi Conference of Engineers and Computer Scientists 2013, 2, 819-823.
• [2] Skrzypczak T., Węgrzyn-Skrzypczak E., Simulation of shrinkage cavity formation during solidification of binary alloy, Archives of Foundry Engineering 2010, 10, 1, 147-152.
• [3] Bockus S., Venckunas A., Zaldarys G., Simulation of a shrinkage cavity in the risers of ductile iron castings, Materials Science 2005, 11, 1, 19-23.
• [4] Sowa L., Numerical simulation of the shrinkage cavity within solidifying steel casting, Archives of Foundry 2002, 2, 4, 245-250.
• [5] Sowa L., Sczygiol N., Computer simulation of the filling and solidification of a gravity die casting, Solidification of Metals and Alloys 2000, 44, 2, 329-334.
• [6] Węgrzyn-Skrzypczak E., Skrzypczak T., Mathematical and numerical basis of binary alloy solidification models with substitute thermal capacity. Part II, Journal of Applied Mathematics and Computational Mechanics 2014, 13, 2, 141-147.
• [7] Bokota A., Domański T., Sowa L., Model and numerical analysis of mechanical phenomena of tools steel hardening, Archives of Foundry Engineering 2010, 10, 1, 19-22.
• [8] Kukla S., Siedlecka U., Heat conduction problem in a two-layered hollow cylinder by using the Green’s function method, Journal of Applied Mathematics and Computational Mechanics 2013, 12, 2, 45-50.
• [9] Mochnacki B., Suchy S.J., Numerical Methods in Computations of Foundry Processes, Polish Foundrymen's Technical Association, Kraków 1995.