Mathematical model of kinetics of filling the model during casting by gasified models

Based on an analysis of the thermal destruction of cellular polystyrene (CPS), an investigation into filling the mold during casting by gasified models is performed. A mathematical model of the process developed on the displacement of gaseous products of the thermal destruction of CPS from the region of gasifying the model by excess pressure in a gas gap between the CPS and liquid metal is made. The results of calculations are compared with the available experimental data on the time dependence of the pressure in the gas gap and measurements of the duration of the pouring time of actual castings. The satisfactory similarity of the calculated dependences and characteristics with experimental ones is shown. The formula for the calculation of the pressure in the thermal destruction region is suggested. This pressure determines the stability of the form and conditions of obtaining suitable castings, as well as the method for calculation of the filling time of the mold.