Kinetics of overflowing of a melt drop from neutral to a wetted surface

Abstract

A mathematical model of the overflowing of a melt drop from neutral substrate to a wetted surface is proposed. The model is based on solving of differential equations of the overflow of the drop and the description of the coefficients in terms of transition state theory. It was shown that in the case of transition of the drop without tearing at the wetted surface, kinetics of overflowing can characterize the kinetics of the whole process of rapid drop spreading. Theoretical calculations performed for the systems Cu-Sn, Ge-Sn, Mo-Sn, Ni-Ge, Mo-Ag, C-Si, as well as the adhesion-active alloy Cu₄₆Sn₄Ti₅₀ on the surface of boron nitride and silicon nitride have shown that the kinetics of the process and initial velocity of the perimeter spreading of the drop are in a good agreement with experimental data. The results indicate the possibility of using this approach to describe the process of a drop spreading.