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

Development and improvement of lost foam casting technology based on mathematical modeling

“…This method of casting is one of the most modern methods to obtain precise workpieces. To date is known for a number of mathematical models of this process using the analytical method or software [1][2][3][4][5][6][7].…”

“…To identify necessary when designing technological processes, patterns and indicators previously developed mathematical models of the kinetics of mould filling and lowfrequency oscillations in the mould [5][6][7]. The schema for process of mould filling is shown in Figure 1.…”

“…where y and Y -based on mathematical models [5] levels of liquid metal in the mould and in the riser without account of fluctuations; q -feeding speed of liquid metal from the ladle; µ -hydraulic factor; 1 t the time of-formation gas space between liquid metal and the surface of polystyrene, [7]; 2 t -the time of filling in the bottom part of the gating system 1 z in Fig. 1; γ -average Poisson's coefficient for polystyrene expanded products; β -Oscillation damping factor [7]; ω -natural frequency of low-frequency fluctuations in metal [6].…”

“…Metal levels as f functions of time calculated on the base of mathematical models [5][6][7], are presented in Fig. 2.…”