Prediction of bubble population behaviour with numerical models based on the population balance model was previously reported. On the basis of this model, the similarity of analytical function and numerical computation is now presented for some cases of refining. Under simplified conditions, the bubble size distribution of analytical and numerical computation is identical. It is possible to predict the refining time in dependence on the melting depth. In the first step, the prediction is possible for laboratory crucibles and pots. The results were compared with experimental values. Some differences between experimental and theoretical refining time were interpreted assuming that the melt volume is homogeneous. This assumption is necessary for these investigations. A homogeneous melt is found rather in small crucibles than in larger pots.
