Exact solution of the problem of gas segregation in the process of crystallization

In the present work, we theoretically investigate the problem of gas segregation in the process of crystallization. The self-similar solutions of the problem for a flat and spherical solidification fronts moving with the velocity inversely proportional to the square root of time are found. The criteria of the elimination of gassing due to segregation are proposed. Using the Laplace transformation method, an analytical solution of the problem for a flat solidification front moving with a constant velocity is also obtained.