Numerical simulation of solidification of a casting taking into account fluid flow and heat transfer phenomena. The axisymmetrical problem

In the paper, a mathematical and a numerical model of solidification of a cylindrical shaped casting, which takes into account the process of filling the mould cavity with the molten metal, has been proposed. The feeding of the casting by a riser head during solidification has also been taken into consideration. Velocity fields were obtained by solving the Navier-Stokes equations and the continuity equation, while thermal fields were obtained by solving the conduction equation containing the convection term. The changes in the thermophysical parameters, with respect to temperature, were taken into consideration. The problem was solved by the finite element method.