Solidification in Square Section

The objective of the present work is to develop a numerical model to analyze melting solidification process considering the natural convection phenomena to an alloy metal in a square section. Physical medium is taken as incompressible Newtonian fluid with isotropy thermal properties where the heat is transferred by conduction and convection, including de thermal phase change phenomenon. The last one is modeled by the improvement procedure, called Enthalpy Model, based on the fraction solid function which liberates the latent heat according to fraction of solid particles generated using as parameter the temperature level. The mathematical model is based on a non-linear second order differential partial equation system: Momentum, continuity, heat transfer equations and a set of auxiliary expressions with the purpose of equation system closure or applied the boundary and interface condition. The numerical model is based on Volume Finite Method in body fitted coordinates with a SIMPLER scheme to join pressure and velocities. The strategy study allows the two-dimensional solidification of alloy aluminum (Non-Isothermal Solidification) in square section. Unsteady state results are shown in the way: Streamlines and isotherms compared with available data after performing a consistency analysis.