Substitute thermal capacity of binary alloys : review of hypotheses

• Autorzy: Siedlecki J. , Tuzikiewicz W.
• Języki publikacji: EN

Abstrakty

EN

In the paper the problems connected with the mathematical modeling of alloys solidification (macro scale) are presented. The similar lecture was delivered by the authors during the IV Conference on Mathematical Modelling in Physics and Technique, Kleszczów, 28-30 June 2012. In particular the one domain method (fixed domain approach) in which the parameter called 'a substitute thermal capacity' appears will be discussed. The one domain method bases on the Fourier equation describing the thermal processes in the whole conventionally homogeneous casting domain. The substitute thermal capacity (STC) can be defined in the different ways. The first group of definitions results from the differentiation of the function determining the local volumetric solid state fraction in the neighborhood of the point considered, while the second one is based on the direct assumption of the STC form, at the same time this function should fulfill the condition resulting from the change of alloy physical enthalpy during the phase change. The details of these approaches will be presented in the Sections 2 and 3.

Słowa kluczowe

EN

binary alloys; solidification; mathematical modeling; hypotheses

PL

stopy dwuskładnikowe; krzepnięcie; modelowanie matematyczne; hipotezy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 4
• Strony: 121--129
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Siedlecki J.

autor

Tuzikiewicz W.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Stefanescu D.M., Critical review of the second generation of solidification models for casting, Modelling of Casting, Welding and Advanced Solidification Processes VI. The Minerals, Metals and Materials Society 1999, 3-20.
• [2] Mochnacki B., Majchrzak E., Identification of macro and micro parameters in solidification model, Bulletin of the Polish Academy of Sciences, Technical Sciences 2007, 55, 1, 107-113.
• [3] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, PFTA, Cracow 1995.
• [4] Mochnacki B., Szopa R., Numeryczne aspekty modelowania procesu krzepnięcia, I Kongres Mechaniki Polskiej, Warszawa 2007, J. Kubik, W. Kurnik, W.K. Nowacki (red.), CD ROM, 1-8.
• [5] Majchrzak E., Mochnacki B., Suchy J.S., Identification of substitute thermal capacity of solidifying alloy, Journal of Theoretical and Applied Mechanics 2008, 46, 2, 257-268.
• [6] Mochnacki B., Definition of alloy substitute thermal capacity using the simple macrosegregation models, Archives of Foundry Engineering 2012, 19, 4, 113-116.
• [7] Szopa R, Mochnacki B, Identification of alloy thermal capacity using the broken line model, CD-ROM Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) September 10-14, 2012, Vienna, Austria, Eds.: J. Eberhardsteiner, H.J. Bohm, F.G. Rammerstorfer, Publisher: Vienna University of Technology, Austria.
• [8] Siedlecki J., Broken line model of STC, IV Conference on Mathematical Modelling in Physics and Technique, Kleszczów, 28-30 June 2012 (not published).
• [9] Majchrzak E., Dziewoński M., Kałuża G., Numerical algorithm of cast steel latent heat identification, Journal of Achievements of Materials and Manufacturing Engineering 2007, 22, 1, 61-64.