Three-dimensional numerical modeling of processes in an aluminum electrolytic cell at a current of 9 kA is performed. The model considers the nonlinear temperature dependence of all physical characteristics of materials. The specificity of the work is the inclusion in the model of the dynamics of the gas formed during the operation of the cell. The bubble motion, magnetic forces and heat convection essentially affect the overall dynamics of the electrolyte and metal. Calculations were carried out using the commercial software packages ANSYS CFX 18.2 and ANSYS Maxwell united with the aid of the user FORTRAN program.
A three-dimensional mathematical model of the solidification process of a liquid metal is considered, taking into account the mobility of the boundaries at which the phase transition is carried out (Stefan boundary value problem). The algorithm of calculation is improved, allowing due to the use of the Dirac δ-function in determining the effective heat capacity to take into account the nonlinearity of the equation of unsteady thermal conductivity and the heat of the phase transition. A numerical study of heat transfer during solidification of lead-containing aluminum melt droplets in air and water is carried out. The influence of droplet size and melt overheating on the solidification dynamics of granules has been studied. An approximate ratio based on the square root law is proposed, taking into account the amount of overheating of the liquid phase and linking the thickness of the formed solid phase with the duration of the granulation process
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