Definition of alloy substitute thermal capacity using the simple macrosegregation models

• Autorzy: Mochnacki B.
• Języki publikacji: EN

Abstrakty

EN

Mathematical description of alloys solidification in a macro scale can be formulated using the one domain method (fixed domain approach). The energy equation corresponding to this model contains the parameter called a substitute thermal capacity (STC). The analytical form of STC results from the assumption concerning the course of the function fs = fs (T) describing the changes of solid state volumetric fraction and the temperature at the point considered. Between border temperatures Ts , Tl the function fs changes from 1 to 0. In this paper the volumetric fraction fs (more precisely fl = 1- fs) is found using the simple models of macrosegregation (the lever arm rule, the Scheil model). In this way one obtains the formulas determining the course of STC resulting from the certain physical considerations and this approach seems to be closer to the real course of thermal processes proceeding in domain of solidifying alloy.

Słowa kluczowe

EN

information technology; foundry industry; solidification process; one domain method; substitute thermal capacity; numerical methods

PL

technologia informatyczna; przemysł odlewniczy; proces krzepnięcia; zastępcza pojemność cieplna; metody numeryczne

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2012
• Tom: Vol. 12, iss. 4
• Strony: 113--116
• Opis fizyczny: Bibliogr. 5 poz., rys., wykr.

Twórcy

autor

Mochnacki B.

• Institute of Mathematics Czestochowa University of Technology, 42-200 Czestochowa, Dabrowskiego 69,

Bibliografia

• [1] Mochnacki B., Suchy J. S. (1995) Numerical methods in computations of foundry processes, PFTA, Cracow.
• [2] Majchrzak E., Mendakiewicz J. (2007) Gradient method of cast iron latent heat identification, Archives of Foundry Engineering, 7, 4, 121-126.
• [3] Majchrzak E., Mochnacki B., Suchy J. S. (2008), Identification of substitute thermal capacity of solidifying alloy, Journal of Theoretical and Applied Mechanics, 46, 2, 257-268.
• [4] Majchrzak E. (2009) Boundary element method in numerical modeling of solidification process, J. Szjnar (Ed), Postepy Teorii i Praktyki Odlewniczej, pp. 253-270, PAN, Komisja Odlewnictwa.
• [5] Szopa R. Siedlecki J., Wojciechowska W. (2007) , Numerical simulation of solidification process using the Scheil model, Scientific Research of the Institute of Mathematics and Computer Science. 1 (6), 253-260.