I am working on the finding the number of pores (cells) and cell wall thickness of Aluminum foams during and after solidification.

It has been established that the amount of foaming agent (TiH2) and the temperature of the molten metal are responsible for the initiation and growth of the pores. My question is that what is the phenomenon governing this process? are there any mathematical or physical laws that can be applied to predict the number of stable pores after solidification? How to find the distribution the cell wall thickness?

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