Computer simulation for the flow of high-temperature melts

Abstract

One of the most constructive methods of studying physical properties of melts is computer simulation. This is explained by a large theoretical and applied value of the information obtained with respect to the transfer coefficients, in particular, bulk and shear viscosities. However, for specific calculations there is needed a detailed physical-and-mathematical apparatus. Objective - implementation methods of numerical solution of hydrodynamic equations involving correlation functions viscosity determined using quantum potentials study of the distribution profile of melt flow rate, to obtain the most simple regularization of the original system of hydrodynamic equations containing a physical sense. To implement such a program we will use methods of statistical physics. To the moment of the proposed studies, there were known the ways of solving equations of hydrodynamics for lowtemperature liquids without taking into account bulk viscosity. In this paper there is proposed a mathematical model for the flow of high-temperature melts taking into account the nature of the short-range order in them and considering the second viscosity coefficient by the methods of statistical physics. Built distribution of melt flow rate based on the numerical experiments. An algorithm for the numerical integration of the hydrodynamic equations to predict the technological parameters of the filling metal melts.