Kinetics of Mass Transfer at a Spatially Nonuniform Distribution
of Grains in Metal Systems

M. V. Ryabov, V. P. Morozov, and I. L. Maksimov

Nizhni Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 630600 Russia

E-mail: mihen@mail.ru

Abstract—The behavior of a half-space system composed of a liquid metal and solid metal nuclei during a
sharp decrease in temperature was examined. Approximate theoretical estimates of the maximum radius of the
crystallites and the position of the maximum of the concentration of the solid-phase metal were made. Based
on a numerical solution of the evolution equations of the system, it was demonstrated that the final distribution
of the mass density of the metal is a -shaped step located at a finite distance from the solid–liquid interface.

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