MATHEMATICAL MODEL FOR CALCULATING THE KINEMATIC VISCOSITY OF MELTS (LIQUIDS)

Abstract

In the article mathematical modeling of calculation of kinematic viscosity of liquid (melt) on the basis of nonstationary methods was considered. The choice of non-stationary research method for the theoretical calculation of the kinematic viscosity of the melt (liquid) was substantiated. The theoretical basis of the chosen research method was determined. The matching results of theoretical calculations numerical realization to the results of the selected experiment was checked. The presence of relationships between kinematic viscosity and other physicochemical properties of the melt (liquid) on the example of temperature was studied. Stationary and non-stationary methods of kinematic viscosity research was considered, its advantages and disadvantages was determined. It is determined that the theoretical calculation of kinematic viscosity by numerical realization of a mathematical model is calculated using the method of successive approximations. Based on the initial data of the experiment, the kinematic viscosity isotherms were constructed. Based on the results of theoretical calculations, a theoretical curve was constructed. It is determined that the theoretical curve and isotherms for calculating the kinematic viscosity at the selected temperature are much closer, which suggests a certain accuracy of the mathematical model. During the analysis of the visualization of the initial data of the selected experiment and the theoretical curve, it was found that the isotherms change exponentially. This indicates the existence of a dependence of the viscosity on the physicochemical properties of the melt (liquid), in particular, temperature. The nature of the changes in the isotherms and the theoretical curve coincides.