Identification of boundary condition on the contact surface of continuous casting mould

• Autorzy: Mochnacki B. , Pawlak E.
• Języki publikacji: EN

Abstrakty

EN

In the paper the methods of inverse problems solution are applied for the identification of substitute heat transfer coefficient in the primary cooling zone of continuous casting plant. The heat exchange between the cast strand and the continuous casting mould proceeds in the very complex conditions (air gap, layer of mould dressing, fouling etc.). For the needs of casting solidification modelling the real boundary condition on the contact surface should be simplified and one can introduce the mean boundary heat flux (the Neumann condition) or the substitute heat transfer coefficient (the Robin condition). These values can be found using the inverse approach. In order to solve the problem of identification, the gradient methods are here applied (the least square criterion with regularization parameter).The algorithm presented bases on the sensitivity analysis methods, in other words the values of temperature derivatives with respect to the unknown nodal heat transfer coefficients must be known. The basic and additional boundary problems connected with the sensitivity coefficients computations are solved using the generalized variant of finite differences method. In the final part of the paper the example of computations is shown.

Słowa kluczowe

EN

information technology to the foundry industry; solidification process; continuous casting process; numerical techniques

PL

technologie informatyczne w odlewnictwie; krzepnięcie; odlewanie ciągłe; techniki numeryczne

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2007
• Tom: Vol. 7, iss. 4
• Strony: 202--206
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Mochnacki B.

autor

Pawlak E.

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

Bibliografia

• [1] B. Mochnacki, J.S. Suchy, Numerical methods in computations of foundry processes, PFTA, Cracow, 1995.
• [2] E. Majchrzak, B. Mochnacki, J.S. Suchy, Numerical simulation of heat transfer processes in continuous casting mould, Official Exchange Paper, 63rd World Foundry Congress, Budapest, T43 (1998) 1-7.
• [3] R. Szopa, The parametric sensitivity analysis of solidification process, Archives of Foundry 5, 15 (2005) 395-404.
• [4] M. Kleiber, Parameter sensitivity, J. Wiley & Sons Ltd., Chichester, 1997.
• [5] K. Dems, B.Rousselet, Sensitivity analysis for transient heat conduction in a solid body, Structural Optimization, 17 (1999), 36-45.
• [6] K. Kurpisz, A.J. Nowak, Inverse Thermal Problems, Computational Mechanics Publications, Southampton-Boston, 1995.
• [7] E. Majchrzak, K. Freus, Identification of boundary heat flux using the sensitivity coefficients, Archives of Foundry, 1 (2001) 238-243.
• [8] B. Mochnacki, E. Pawlak, S. Lara, Numerical model of solidification using the generalized variant of FDM. Archives of Foundry, 2, 4 (2002) 155-160.
• [9] E. Majchrzak, B. Mochnacki, Identification of thermal properties of the system casting - mould, Materials Science Forum 539-543 (2007) 2491-2496.
• [10] B. Mochnacki, J.S. Suchy, Identification of alloy latent heat on the basis of mould temperature (Part 1), Archives of Foundry 6, 22 (2006) 324-330.
• [11] E. Majchrzak, J. Mendakiewicz, Identification of cast iron substitute thermal capacity, Archives of Foundry 6, 22 (2006) 310-315.