Sensitivity of transient temperature field in the casting domain with respect to latent heat perturbations

• Autorzy: Tuzikiewicz W.
• Języki publikacji: EN

Abstrakty

EN

The mathematical model of thermal processes in the casting domain can be formulated using the fixed domain approach. The energy equation corresponding to this model contains the parameter called a substitute thermal capacity (STC), in which the alloy latent heat appears. The aim of considerations is the application of sensitivity analysis methods for estimation of temperature field changes due to the perturbations of alloy latent heat. In this the analytical form of STC results from the consideration concerning the lever arm model and the Scheil model. The equations determining the sensitivity function are found using the so-called direct approach. At the stage of numerical modeling the finite difference method is used. In the final part of the paper the example of computations is shown.

Słowa kluczowe

EN

alloys solidification; fixed domain approach; substitute thermal capacity; sensitivity analysis; numerical methods

PL

krzepnięcie stopów; zastępcza pojemność cieplna; analiza wrażliwości; metody numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 143--149
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Tuzikiewicz W.

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

Bibliografia

• [1] Mochnacki B., Suchy J.S., Numerical Methods in Computations of Foundry Processes, PFTA, Cracow 1995.
• [2] 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.
• [3] Mochnacki B., Numerical modeling of solidification process (Chapter 24), [in:] Computational Simulations and Applications, Jianping Zhu (ed.), INTECH, 2011, 513-542.
• [4] Siedlecki J., Doctoral Thesis, Czestochowa University of Technology, Częstochowa 2002.
• [5] Mochnacki B., Definition of alloy substitute thermal capacity using the simple macrosegregation models, Archives of Foundry Engineering 2012, 19, 4, 113-116.
• [6] Dems K., Sensitivity analysis in thermal problems, 1: Variation of material parameters within fixed domain, Journal of Thermal Stresses 1996, 9, 303-324.
• [7] Szopa R., Siedlecki J., Wojciechowska W., Numerical simulation of solidification process using the Scheil model, Scientific Research of the Institute of Mathematics and Computer Science 2007, 1(6), 253-260.
• [8] Kleiber M., Parameter Sensitivity in Nonlinear Mechanics, J. Wiley & Sons Ltd., Chichester 1997.