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Wykorzystanie metody Angstrӧma do wyznaczania wartości przewodności cieplnej metali w warunkach „in-situ”

Urbanek P.

Zeszyty Naukowe. Elektryka / Politechnika Łódzka

2017

z. 127

165--172

Praca zawiera krótki opis metody Angstrӧma wraz z symulacją wyznaczania wartości przewodności cieplnej w układzie jednowymiarowym. Sprawdzono symulacyjnie możliwość zastosowania metody w układach odbiegających od teoretycznych założeń tej metody.

The work includes a brief description of the Angstrӧm method together with a simulation of the determination of thermal conductivity values in a one dimensional system. The possibility of applying the method in the systems deviating from the theoretical assumptions of this method has been simulated.

Cellular automata modeling of cooperative eutectic growth

Burbelko A., Gurgul D., Fraś E., Olejnik E.

Archives of Foundry Engineering

2010

Vol. 10, iss. 1 spec.

29--34

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.