Mathematical modeling of the filling process of a slender mould cavity

• Autorzy: Sowa L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, three mathematical models of the solidification of a thin-walled casting, which take into account the filling process of the mould cavity with molten metal, have been proposed. In the general model, velocity and pressure fields were obtained by solving the momentum equations and the continuity equation, while the thermal fields were obtained by solving the heat conduction equation containing the convection term. In the simplified models, making assumptions relating to both the material and the geometry of the region, the general equations for momentum and continuity have been reduced to single an equation for pressure. This approach leads to the essential acceleration of fluid flow computations. In this model, coupling of the thermal and fluid flow phenomena by changes in the fluidity function and thermophysical parameters of alloy with respect to temperature has been taken into consideration. The problem has been solved by the finite element method.

Słowa kluczowe

EN

mathematical modeling; filling process; solidification; metal alloy; casting solidification

PL

modelowanie matematyczne; krzepnięcie; stop metali; krzepnięcie odlewu

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 219--227
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Sowa L.

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

Bibliografia

• [1] Im I.-T., Kim W.-S., Lee K.-S., A unified analysis of filling and solidification in casting with natural convection, International Journal of Heat and Mass Transfer 2001, 44, 1507-1515.
• [2] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, Polish Foundrymen’s Technical Association, Krakow 1995.
• [3] Majchrzak E., Piasecka A., The numerical micro/macro model of solidification process, Journal of Materials Processing Technology, 1997, 64, 267-276.
• [4] Mochnacki B., Prażmowski M., Suchy J.S., Analysis of segregation process in the solidifying casting, Archives of Foundry 2002, 2(4), 155-160.
• [5] Sowa L., Model of the casting solidification taking into consideration the motion of liquid phase, Archives of Mechanical Technology and Automatization, 1998, 18, 287-296 (in Polish).
• [6] Kennedy P., Flow analysis of injection molds, Hanser Publishers, Munich 1995.
• [7] Sowa L., Sczygiol N., Computer simulation of the filling and solidification of a gravity die casting, Solidification of Metals and Alloys 2000, 2(44), 329-334.
• [8] Parkitny R., Sowa L., Numerical simulation of solidification of casting taking into account fluid flow and heat transfer phenomena. The axisymmetrical problem, Journal of Theoretical and Applied Mechanics 2001, 4(39), 909-921.
• [9] Bokota A., Sowa L., Numerical modelling of the thermal and fluid flow phenomena of the fluidity test, Archives of Foundry Engineering 2010, 10(1), 15-18.
• [10] Parkitny R., Skrzypczak T., Simulation of solidification of two component alloys with solute distribution, Archives of Foundry 2002, 2(4), 198-203 (in Polish).
• [11] Mutwil J., Niedźwiedzki D., Silumins zero fluidity temperature, Archives of Foundry 2002, 2(4), 173-178 (in Polish).
• [12] Sichen A., Bygden J., Seetharaman S., A model for estimation of viscosities of complex metallic and ionic melts, Metallurgical Transactions B 1994, 25B, 519-525.