Mathematical and numerical basis of binary alloy solidification models with substitute thermal capacity. Part 1

• Autorzy: Węgrzyn-Skrzypczak E. , Skrzypczak T.
• Języki publikacji: EN

Abstrakty

EN

The presented work is focused on the basis of mathematical and numerical descriptions of the binary alloy solidification problem. The mathematical formulation is based on the so-called substitute thermal capacity, which implies a change in the specific heat of solidifying material. In the literature one can find many ways to define this parameter. Five models, differing in the description of the substitute thermal capacity as well as the numerical model using the finite element method (FEM) are considered.

Słowa kluczowe

EN

solidification; substitute thermal capacity; modeling; finite element method

PL

krzepnięcie; zastępcza pojemność cieplna; modelowanie; metoda elementów skończonych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 2
• Strony: 135--140
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Węgrzyn-Skrzypczak E.

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

autor

Skrzypczak T.

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

Bibliografia

• [1] Mochnacki B., Suchy J.S., Modelowanie i symulacja krzepnięcia odlewów, Wydawnictwo Naukowe PWN, Warszawa 1993.
• [2] Sowa L., Numerical modelling of fluid flow and thermal phenomena in the tundish of CSC machine, Archives of Foundry Engineering 2014, 14(1), 103-106.
• [3] Siedlecki J., Tuzikiewicz W., Substitute thermal capacity of binary alloys. Review of hypotheses, Scientific Research of the Institute of Mathematics and Computer Science 2012, 4, 11, 121-129.
• [4] 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.
• [5] Sczygiol N., Solidification equations by means of finite elements method, Solidification of Metals and Alloys 1997, 30, 221-232.
• [6] Sczygiol N., Approaches to enthalpy approximation in numerical simulation of two-component alloy solidification, Computer Assisted Mechanics and Engineering Sciences 2000, 7, 717-734.
• [7] Mochnacki B., Modele matematyczne kierunkowej krystalizacji stopów, Krzepnięcie Metali i Stopów 1984, 7, 125-145.
• [8] Grandin H., Fundamentals of the Finite Element Method, Waveland Press, Paris 1991.