Identification of cast steel latent heat on a basis of thermal and differential analysis

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Identification of cast steel latent heat on a basis of thermal and differential analysis

Ewa Majchrzak, Jerzy Mendakiewicz

Silesian University of Technology, Gliwice, Poland.

DOI:

https://doi.org/10.7494/cmms.2009.2.0230

Abstract:

Thermal and differential analysis (TDA) constitutes a very popular and effective tool of quantitative estimation of so- lidification process parameters, such as border temperatures, evolution of latent heat etc. TDA registering system is con- nected to the thermocouple located at a central point of sampling casting. Using the adequate program of automatic data processing one obtains the information concerning the cooling curve and its time derivative at the point corresponding to sensor position. In the paper the solution of inverse problem consisting in the identification of cast steel latent heat is dis- cussed. The additional information necessary to solve the problem results both from a knowledge of cooling curve T(t) and a knowledge of its time derivative T'(t). The criterion determining the optimum value of latent heat bases on the input data concerning not only T(t) but also T'(t). On a stage of numerical computations the finite difference method has been used. In a final part of the paper, the examples of identification process are shown.

Cite as:

Majchrzak, E., Mendakiewicz, J., (2009). Identification of cast steel latent heat on a basis of thermal and differential analysis. Computer Methods in Materials Science, 9(2), 195 – 199. https://doi.org/10.7494/cmms.2009.2.0230

Article (PDF):

Keywords:

Identification methods, Solidification process, Numerical simulation

References:

Abou Khachfe, R., Jarny, Y., Estimation of heat sources within two dimensional shaped bodies, Proceedings if 3ICIP'99, Port Ludlow, Washington, 1999, 1-8.

Dems, K., Rousselet, B., Sensitivity analysis for transient heat conduction in a solid body – Part I: External boundary modification, Structural Optimization, 17, 1999, 36-45.

Dowding, K.J., Blackwell, B.F., Design of experiments to estimate temperature dependent thermal properties, Inverse Problems in Engineering: Theory and Practice, ASME, 1999, 509-518.

Kleiber, M., Parameter sensitivity, J.Wiley & Sons Ltd., Chichester 1997.

Kurpisz, K., Nowak, A.J., Inverse Thermal Problems, Computational Mechanics Publications, Southampton-Boston 1995.

Majchrzak, E., Mendakiewicz, J., Gradient method of cast iron latent heat identification, Archives of Foundry Engineering, 7, 2007, 121-126.

Majchrzak, E., Mochnacki, B., Identification of thermal properties of the system casting-mould, Materials Science Forum, 539-543, 2007, 2491-2496.

Mochnacki, B., Majchrzak, E., The methods of inverse problems solution in the thermal theory of foundry processes, Research in Polish Metallurgy at the beginning of XXI century, ed., Świątkowski K., Committee of Metallurgy of the Polish Academy of Sciences, 2006, 239-254.

Mochnacki, B., Majchrzak, E., Szopa, R., Suchy, J.S., Inverse problems in the thermal theory of foundry, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa, 1(5), 2006, 154-179.

Mochnacki, B., Suchy, J.S., Numerical methods in computations of foundry processes, PFTA, Cracow 1995.

Szopa, R., Analiza wrażliwości i zadania odwrotne w termodynamice procesów odlewniczych, Wyd. Pol. Częstochowskiej, Częstochowa 2006, (in Polish).