Sensitivity analysis of the crystallization model with respect to cooling conditions

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

Abstrakty

EN

In the paper the pure metal crystallization process is considered. The cooling conditions of the metal domain are determined by the mould dimensions and thermophysical parameters of the mould material (volumetric specific heat and thermal conductivity). The mathematical model of heat transfer processes proceeding in the system metal – mould is created by the system of heat diffusion partial differential equations corresponding to the sub-domains considered supplemented by the adequate geometrical, physical and boundary-initial conditions. The sensitivity model determining the perturbations of thermal processes due to the perturbations of cooling processes can be constructed using the direct approach (differentiation with respect to parameters analyzed) or using the differential quotients. Both approaches will be discussed in the paper presented.

Słowa kluczowe

EN

moving boundary problems; crystallization of pure metals; sensitivity analysis; numerical methods

PL

analiza wrażliwości; metody numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 3
• Strony: 115--122
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Szopa R.

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

autor

Tuzikiewicz W.

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

autor

Siedlecki J.

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

Bibliografia

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