Cellular automata modeling of cooperative eutectic growth

• Autorzy: Burbelko A. , Gurgul D. , Fraś E. , Olejnik E.
• Języki publikacji: EN

Abstrakty

EN

The model and results of the 2D simulation of the cooperative growth of two phases in the lamellar eutectic are presented. The proposed model takes into account heat transfer, components diffusion and nonstationary concentration distribution in the liquid and solid phases, non-equlibrium nature of the phase transformation and kinetics of the growth, influence of the surface energy and interface curvature on the conditions of the thermodynamic equilibrium. For the determination of the phase interface shape the Cellular Automata technique (CA) was used. For the calculation of temperature and concentration distribution the numerical solution of the Fourier equation was used. The partial differential equations were solved by Finite Differences Method (FDM). The spatial position and cell sizes of CA lattice and FDM mesh are equal. Proposed model can predict the steady state growth with a constant interlamellar spacing in the regular plate eutectic, as well as some transient processes that bring to the changes of that parameters. Obtained simulation data show the solid-liquid interface changes result in the termination of lamella and enlargement of interlamellar spacing. Another simulation results illustrate a pocket formation in the center of one phase that forestalls nucleation (or intergrowth) of the new lamellae of another phase. The data of the solidification study of the transparent material (CBr₄– 8,4% C₂Cl₆) obtained in the thin layer demonstrate the qualitative agreement of the simulation.

Słowa kluczowe

EN

cellular automata; eutectic growth; 2D simulation

PL

automat komórkowy; wzrost eutektyczny; symulacja 2D

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2010
• Tom: Vol. 10, iss. 1 spec.
• Strony: 29--34
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Burbelko A.

• Katedra Inżynierii Stopów i Kompozytów Odlewanych, Wydział Odlewnictwa, Akademia Górniczo-Hutnicza, ul. Reymonta 23, 30-059 Kraków, Polska

autor

Gurgul D.

• Katedra Inżynierii Stopów i Kompozytów Odlewanych, Wydział Odlewnictwa, Akademia Górniczo-Hutnicza, ul. Reymonta 23, 30-059 Kraków, Polska

autor

Fraś E.

• Katedra Inżynierii Stopów i Kompozytów Odlewanych, Wydział Odlewnictwa, Akademia Górniczo-Hutnicza, ul. Reymonta 23, 30-059 Kraków, Polska

autor

Olejnik E.

• Katedra Inżynierii Stopów i Kompozytów Odlewanych, Wydział Odlewnictwa, Akademia Górniczo-Hutnicza, ul. Reymonta 23, 30-059 Kraków, Polska

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