Numerical modeling of the casting solidification process in a mold taking into account the influence of an air gap with variable width

The article presents a numerical modeling approach that utilizes the Finite Element Method (FEM) to simulate the solidification process of a casting in a mold. The study takes into account the local width of the air gap at each computational point on the interface between the casting and the mold. The developed numerical model provides a detailed understanding of the heat transfer between the casting and the mold during the solidification. The study shows that the air gap with variable width has a significant impact on the solidification process, affecting the cooling rate and the formation of the solidified region.