Numerical modeling of pure metal solidification using the one domain approach

• Autorzy: Szopa R.

Identyfikatory

DOI

10.17512/jamcm.2015.3.13

• Języki publikacji: EN

Abstrakty

EN

Numerical modeling of pure metal solidification on the basis of the well-known Stefan model is rather difficult. The knowledge of temporary solidification front position and the local values of the solidification rate in the normal direction for time t are necessary in order to determine the new position of moving boundary for time t + ∆t. The problem is especially complicated for 2D and 3D tasks. The concept greatly simplifying the modeling of solidification process boils down to the introduction of the artificial region corresponding to the mushy zone sub-domain. For this region the substitute thermal capacity is defined and the mathematical model corresponds to the one domain approach. The artificial mushy zone appears owing to conventional enlargement of solidification point on a certain interval of temperature ∆T. The basic goal of the paper is the numerical analysis of the influence of the interval ∆T on the numerical solution simulating the thermal processes in the domain of the solidifying metal.

Słowa kluczowe

EN

solidification of metal; Stefan problem; artificial mushy zone; numerical methods

PL

krzepnięcie metalu; problem Stefana; sztuczna strefa dwufazowa; metody numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 3
• Strony: 121--126
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Szopa R.

• Faculty of Civil Engineering, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

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• [4] Szopa R., Modeling of Solidification and Crystallization Using the Combined Variant of the BEM, Metallurgy 54, Publication of the Silesian University of Technology, Gliwice 1999 (in Polish).
• [5] Mochnacki B., Suchy J.S., Numerical Methods in Computations of Foundry Processes, PFTA, Cracow 1996.
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• [7] Slota D., Homotopy perturbation method for solving the two-phase inverse Stefan problem, Numer. Heat Transfer A 2011, 59, 755-768.
• [8] 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.
• [9] Mochnacki B., Szopa R., Numerical modeling of solidification. Substitute thermal capacity of binary alloy, Advanced Diffusion Processes and Phenomena, Book Series: Defect and Diffusion Forum 2014, 354, 33-40.