Numerical optimization of the solidification conditions of monocrystals of the Fe-Cr-Ni alloys

Abstract
In the recent investigations of foundry processes, numerical experiments apart from physical ones are the basic tools. In the works carried out up till now and concerning solidification and cooling processes of castings, numerical methods have been mainly applied to describe temperature distribution during the time of the processes. In the author's own investigations, methods of control theory are used to determine the assumed and experimentally tested temperature distribution in the directional solidification of Fe-Cr18-Ni single crystals. The optimum solidification conditions (gradient of the temperature, rate of crystalization) were obtain by means of simulation. The main purpose of this simulation problem was point out, that algorithm allow to obtain assumed temperature in the liquid phase, by the control of the heat flow in the solid region.