Kinetics of casting solidification : an inverse approach

• Autorzy: Majchrzak E. , Mochnacki B. , Suchy J. S.
• Języki publikacji: EN

Abstrakty

EN

In the paper the example of inverse problems application in the thermal theory of foundry processes is discussed. The solidification of typical binary alloys is considered, at the same time the macro model basing on the substitute thermal capacity is taken into account (fixed domain approach). The information necessary in order to determine the kinetics of casting solidification results from the knowledge of cooling (heating) curves at the selected set of points from casting and/or mould sub-domains. The identified value corresponds to the volumetric latent heat of alloy and, as will be shown, the knowledge of this parameter allows to determine the course of solidification, in particular the changes of temporary values of volumetric solid state fraction at the points selected from casting domain. The inverse problem considered is solved using the gradient method. On the stage of numerical simulation the FDM algorithm is used. In the final part of paper the example of computations is shown.

Słowa kluczowe

EN

casting solidification; kinetics; thermal theory; foundry process; inverse problems

PL

krzepnięcie odlewu; kinetyka; teoria ciepła; proces odlewniczy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 169--178
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Majchrzak E.

autor

Mochnacki B.

autor

Suchy J. S.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology Czestochowa, 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., Numerical model of solidification on the basis of the boundary element method, CIATF International Commission 3.3, Report of constituent meeting, Zurich 1998, 5-12.
• [3] Mochnacki B., Majchrzak E., Methods of inverse problems solution in the thermal theory of foundry processes, (in:) Research in Polish Metallurgy at the beginning of XXI Century, ed. K. Świątkowski, Committee of Metallurgy of the Polish Academy of Sciences 2006, 239-254.
• [4] Majchrzak E., Dziewoński M., Kałuża G., Numerical algorithm of cast steel latent heat identification, Journal of Achievements of Materials and Manufacturing Engineering 2007, 22, 1, 61-64.
• [5] Ozisik M.N., Orlande H.R.B., Inverse heat transfer: fundamentals and applications, Taylor and Francis, Pennsylvania 1999.
• [6] Telejko T., Analysis of an inverse method of simultaneous determination of thermal conductivity and heat of phase transformation in steels, Journal of Materials Processing Technology 2004, 155-156, 1317-1323.
• [7] 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, Częstochowa 2006, 1(5), 154-179.