Simulation of heat and mass transfer in domain of casting made from binary alloy

• Autorzy: Mochnacki B. , Majchrzak E. , Szopa R.
• Języki publikacji: EN

Abstrakty

EN

In the paper the mathematical model, numerical algorithm and example of cylindrical casting solidification are presented. In particular the casting made from Cu-Zn alloy is considered. It is assumed that the temperature corresponding to the beginning of solidification is time-dependent and it is a function of temporary alloy component concentration. The course of macrosegregation has been modelled using the mass balances in the set of control volumes resulting from a domain discretization. The balances have been constructed in different ways, in particular under the assumption of instant equalization of alloy chemical constitution (a lever arm rule), next the Scheil model (e.g. [1]) has been used and finally the broken line model [2] has been taken into account. On a stage of numerical algorithm construction the boundary element method has been used in the variant called BEM using discretization in time [3, 4, 5] supplemented by the alternating phase truncation procedure [6, 7].

Słowa kluczowe

EN

information technology; foundry process; numerical techniques; solidification process

PL

odlewnictwo; krzepnięcie; techniki numeryczne

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2008
• Tom: Vol. 8, iss. 4
• Strony: 121--126
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Mochnacki B.

autor

Majchrzak E.

autor

Szopa R.

• Częstochowa University of Technology, Dąbrowskiego 73, 42-200 Częstochowa, Poland,

Bibliografia

• [1] N.Sczygiol, Numerical modelling of thermo-mechanical phenomena in a solidifying casting and a mould, Publ. of the Czest. Univ. of Techn., Monographs, 71, Czestochowa, 2000 (in Polish).
• [2] J.S.Suchy, B.Mochnacki, Analysis of segregation process using the broken line model. Theoretical base, Archives of Foundry, Vol. 3, No. 10 (2003) 229-234.
• [3] D.A.S.Curran, M.Cross. B.A.Lewis, Solution of parabolic differential equations by the BEM using discretization in time, Appl. Math. Modelling, 4 (1980) 398-400.
• [4] W.Sichert, Berechnung von Instationaren thermischen Problemen mittels der Randelementmethode, Technischen Fakultat der Universitat Erlangen, 1989.
• [5] R.Szopa, Modelling of solidification and crystallization using combined boundary element method, Publ. of the Silesian Univ. of Techn., 54, Gliwice, 1999.
• [6] E.Majchrzak, B.Mochnacki, Application of the BEM in the Thermal Theory of Foundry, Engineering Analysis with Boundary Elements, 16, 1995, 99-121.
• [7] S.Lara, Application of generalized FDM in numerical modelling of moving boundary problems, Doctoral Theses, Czestochowa, 2003 (in Polish).
• [8] Engineer's handbook, Foundry Engineering, WNT, Warsaw, 1988 (in Polish).
• [9] B.Mochnacki, S.Lara, E.Pawlak, Analysis of segregation process using the broken line model for an infinite cylinder, Scientific Research of the Institute of Mathematics and Computer Science, 1(3) (2004) 153-160.