I. Introduction
The interaction of solid particles suspended in a liquid with a moving solidification front during freezing is of great interest in engineering, especially for understanding the formation of close-packed structures. The formation of a close-packed layer of particles during the suspension freezing is of great interest due to many practical applications particularly in such fields as cryobiology [1], thermal energy storage [2], ice lens formation [3], food engineering [4], science of soft matter [5], geophysical science [6], etc. Due to this there are a lot of studies devoted to the behavior of different particles in the process of interaction with a solidification front [7]. Classical manifestation of such interaction is a process of forming a close-packed layer in front of the freezing interface during the freezing of a suspension [8], [9], [10], [11], [12]. This mechanism has been successfully used in ice-templating for obtaining porous materials [13] or obtaining composite particles, creating a shell from inorganic nanoparticles and proteins on submicron- and micron-sized porous particles [14].