Numerical simulation of alloy solidification under intensive conjugate heat transfer

We consider the problem of determining the rate of cooling of a metal during solidification at the intersection with the liquidus temperature under an intense heat removal from the surface. Solving this problem is necessary for determining the process conditions, the boundary and initial conditions for which it is possible to get new alloys with microcrystalline structures. We give the necessary finite-difference equations, describe the algorithm, and, using the known experimental data, test the obtained model. We investigate the influence of the size of the casting and the heat transfer coefficient on the cooling rate of an aluminum-based alloy at the liquidus temperature.