The motion of a fine viscous inclusion in a viscous medium under zero-g condition is subjected to theoretical examination. This motion can be qualified as an elementary act of the motion of fine phase particles in composition mixtures: suspensions, emulsions, foamed liquid metals, aerosols. It is interesting to notice, when carrying out a theoretical analysis of thermocapillary inclusion dynamics, that attention is usually centered on a description of the behavior of gaseous and liquid inclusions whereas the behavior of solid inclusions is left beyond any considerations. Such a situation can be understood since the theoretical basis commonly used gives no way to describe the behavior of solid inclusion, although the proper experiments are known now. An approach proposed here allows one to describe thermocapillary dynamics of solid, liquid and gaseous inclusions in the reduced gravity (without influence of any other exertions). It may be used in the interpretation of experiments and technological processes with fine particles.
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