Analytical solution of the problem of dissolved gas segregation in melt by the plain crystallization front

摘要: Abstract Analytical solution of the segregation problem is found for arbitrary crystal growth law using quasi-steady-state approximation. The in this case caused by displacement dissolved gas moving plane crystallization front. effect solidification shrinkage on process was taken into account. comparison made between obtained and existing exact solutions shows good agreement. It shown that “equilibrium crystallization” (when rate inversely proportional to time) becomes self-similar. In concentration at front instantly increases a certain value than stays same during whole process. At time diffusion layer thickness proportionally time. conditions inevitability gaseous release leading formation pores solidified material formulated general case.