Cluster-associated model of the viscosity of the lead-tin alloy in comparison with the Frenkel-Andrade model

Abstract

The article is devoted to the development of a generalized cluster-associated model of the dynamic viscosity of a lead-tin alloy based on the concept of chaotic particles and its relationship with the Frenkel-Andrade viscosity model. In addition to its practical importance, the study of the viscosity of melts of inorganic compounds is also of great scientific interest, since viscosity is the most structurally sensitive characteristic of a substance, which gives an idea of the forces of intermolecular interaction and the mechanism of molecular transport processes in liquids. The accumulation of knowledge in this field allows us to solve many questions related to the theory of the liquid state. The experimental data on the viscosity of melts of inorganic compounds is rather limited, which is explained by the serious difficulties associated with conducting relevant studies. Therefore, it is proposed to use a cluster-associated model for the study of viscosity, which significantly approaches the solution of many problems related to the theory of fluid. The Frenkel-Andrade viscosity model allows us to estimate the yield activation energy. Calculations show that when comparing this energy with the degree of cluster association obtained in the framework of the cluster-association model, a fairly close linear correlation is observed. In this case, the proportionality coefficient makes sense of the activation energy per cluster. This energy does not go beyond the van der Waals energy of the unsaturated intermolecular bond characteristic of the interaction of particles in a liquid.