Application of simplified model to sensitivity analysis of solidification process

• Autorzy: Szopa R. , Lara S.
• Języki publikacji: EN

Abstrakty

EN

The sensitivity models of thermal processes proceeding in the system casting-mould-environment give the essential information concerning the influence of physical and technological parameters on a course of solidification. Knowledge of time-dependent sensitivity field is also very useful in a case of inverse problems numerical solution. The sensitivity models can be constructed using the direct approach, this means by differentiation of basic energy equations and boundary-initial conditions with respect to parameter considered. Unfortunately, the analytical form of equations and conditions obtained can be very complex both from the mathematical and numerical points of view. Then the other approach consisting in the application of differential quotient can be applied. In the paper the exact and approximate approaches to the modelling of sensitivity fields are discussed, the examples of computations are also shown.

Słowa kluczowe

EN

foundry industry; information technology to the foundry industry; solidification process; sensitivity analysis

PL

odlewnictwo; technologie informacyjne w odlewnictwie; krzepnięcie; analiza wrażliwości

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2007
• Tom: Vol. 7, iss. 4
• Strony: 169--174
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Szopa R.

autor

Lara S.

• Institute of Mathematics and Computer Science, Częstochowa University of Technology, Dąbrowskiego St 73, 42-200 Częstochowa, Poland,,

Bibliografia

• [1] R. Szopa, Sensitivity analysis and inverse problems in the thermal theory of foundry processes, Publ. of Czest. Univ. of Technology, 124, Częstochowa, 2006 (in Polish).
• [2] R. Szopa, The parametric sensitivity analysis of solidification process, Archives of Foundry, 5, 15 (2005) 395-404.
• [3] M. Kleiber, Parameter sensitivity, J. Wiley & Sons Ltd., Chichester, 1997.
• [4] K. Dems, B. Rousselet, Sensitivity analysis for transient heat conduction in a solid body, Structural Optimization, 17 (1999), 36-45.
• [5] G.J.W. Hou, J. Sheen, Numerical methods for second-order shape sensitivity analysis with applications to heat conduction problems, International Journal for Numerical Methods in Engineering, Vol. 36 (1993) 417-435.
• [6] B. Mochnacki, J.S. Suchy, Numerical methods in computations of foundry processes, PFTA, Cracow, 1995.
• [7] R. Szopa, Macro and macro/micro models of solidification. Numerical aspects of process simulation, Materials Science Forum, Vols. 539-543 (2007) 2564-2569.
• [8] B. Mochnacki, S. Lara, Numerical model of alloy solidification using the enthalpy approach, International Journal of Engineering Modelling, Vol. 17, No 1-2 (2004) 41-46.
• [9] M. Ciesielski, B. Mochnacki, J.S. Suchy, Numerical model of axially-symmetrical casting solidification. Part 1, Archives of Foundry, 4, 11 (2004), 110-113.
• [10] B. Mochnacki, E. Majchrzak, Sensitivity of conti-casting process with respect to cooling conditions, Journal of Theoretical and Applied Mechanics, 1, 40 (2002) 129-146.
• [11] B. Mochnacki, E. Majchrzak, Identification of macro and micro parameters in solidification model, Bulletin of the Polish Academy of Sciences, Technical Sciences, Vol. 55, No 1 (2007) 107-113.
• [12] E. Majchrzak, J. Mendakiewicz, Estimation of cast steel thermal conductivity on the basis of cooling curves from the casting domain, Archives of Foundry, 5, 15 (2005) 265-270.