Theory of design of foam ceramic filters for cleaning molten metals

A new method of theoretical design of foam ceramic filters (FCF) for cleaning liquid metals is suggested. The method is based on the solution of an optimization problem involving the criterion of the operational capacity of the FCF that reflects the interrelation between the physicomechanical properties of the filter, the system of technological constraints in its production, and the target function that expresses the basic economical criterion, i.e., the cost of the FCF. Mathematical models of the process of filtration of liquid metals and the structure of the FCF are considered. The method is illustrated by solutions of optimization problems for specific production lines.