engleski

Modelling of the directional solidification of a leaded red brass flange

A mathematical model and a numerical simulation of the directional solidification of a leaded red brass flange are presented. The mathematical model is based on physically realistic assumptions and it is solved by finite- difference method, implicit alternating directions method. This method has great accuracy and is of second order with regard to the approximation of time and space. The initial conditions are an analytical solution of the heat conduction equation in the case of the contact of two semi-infinite media. The latent heat of fusion incorporated into the equation for the specific heat capacity of metal, and temperature dependent thermophysical properties of all materials in the system mould-casting- core-chill, enable us to accurately numerically represent the flange solidification, which is casting and a common example in foundry practice. The simulation of the directional solidification is a modern and scientific way of pointing to casting points in which the defect occurrence is possible, and how to prevent them using the chill.

mathematical model ; directional solidification ; leaded red brass flange ; graphite chill

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