Abstract Analytical solution of the problem of dissolved gas segregation from melt during the crystallization process was found. The problem was solved using 3 most commonly used geometries of crystal… Click to show full abstract
Abstract Analytical solution of the problem of dissolved gas segregation from melt during the crystallization process was found. The problem was solved using 3 most commonly used geometries of crystal growth: plane, cylindrical and spherical. Shrinkage of the melt during crystallization was correctly taken into account. It was shown that in the case of equilibrium crystallization the solution becomes self-similar. The criteria allowing to predict the conditions for inevitable formation of cavities in solidified material is shown.
               
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