Artificial heat source method in modelling of continuous casting process

• Autorzy: Szopa R. , Pawlak E.
• Języki publikacji: EN

Abstrakty

EN

In the paper the numerical model of continuous casting process is presented. The basic energy equation corresponding to the fixed domain approach is assumed in the form containing the term called artificial heat source. It should be pointed out that a mathematical description of the continuous casting essentially differs from the model of typical foundry technologies, because in the energy equation the additional component being the product of pulling rate vector and temperature gradient appears. It results from the fact that the cast strand shifts through the continuous casting plant. As an example we will consider a rectangular cast slab produced by a vertical plant. The casting shifts in axis z direction and its pulling rate is equal to u (more precisely, the velocity field in domain considered: u = [0, 0, u]). In the paper we present the algorithm in which the product u grad T is treated as the artificial heat source. In the final part of the paper the example of computations is shown.

Słowa kluczowe

EN

continuous casting; artificial heat source method

PL

odlewanie ciągłe; metody sztucznego źródła ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 1
• Strony: 203--207
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Szopa R.

autor

Pawlak E.

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

Bibliografia

• [1] Mochnacki B., Suchy J.S., Numerical Methods in Computations of Foundry Processes, PFTA, Cracow 1995
• [2] 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, Committee of Metallurgy of Polish Academy of Sciences 2006, 239-254.
• [3] Szopa R., The parametric sensitivity analysis of solidification process, Archives of Foundry Engineering 2005, 5, 15, 395-404.
• [4] Ruddle E.W., The solidification of casting, Institute of Metals, London 1957.
• [5] Szopa R., Senmsitivity analysis and inverse problem in the thermal theory of foundry processes, Publ. of the Częst. Univ. of Techn., Częstochowa 2006.
• [6] Mochnacki B., Pawlak E., Identification of boundary condition on the contact surface of continuous casting mould, Archives of Foundry Engineering 2007, 7, 4, 202-206.
• [7] Domanski Z., Ciesielski M, Mochnacki B., Application of CVM using the Voronoi tessalation in numerical modeling of solidification process, Current Themes in Engineering Science, American Institute of Physics, Melville, New York 2010, 17-27.
• [8] Majchrzak E., Mochnacki B., Suchy J.S., Kinetics of casting solidification, an inverse approach, Scientific Research of the Institute of Mathematics and Computer Science 2007, 1(6), 169-178.