Author(s)

B. Mochnacki, J.S. Suchy

Abstract

Application of the artificial heat source method for numerical modelling of continuous casting B. Mochnacki * & J.S. Suchy ^ '"* 'Institute of Mathematics and Computer Science, Technical University of Cz^stochowa, Poland ^Technical University ofOpole, Poland Abstract A mathematical description of the continuous casting process 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, %]). The same mathematical description can be used in a case of the very popular radial plants, because a large radius of plant curvature (in comparison to cas

Keywords