Mathematical modeling of the supercooled steel ingot formation. Problem statement

The article considers hydrodynamic and heat exchange processes taking place in a supercooled melt, which is located in a stationary chill mold. We share the developed physical and mathematical model of a supercooled ingot solidification on the basis of the solidification process theory. A method for numerical realization of the obtained model is described. The article assesses the effect of circulating flows caused by forced convection on the solidification of a melt which is in a fixed chill. Studies show that only at the initial stage of solidification, certain mixing effect can be observed. The further influence of mixing practically does not affect the temperature distribution in the ingot body.