Mathematical identification of homogenisation processes in argon stirred ladle

Abstract

Mathematical models processed results of experimental investigation obtained during ladle gas argon bubbling realised by stir elements situated in the ladle bottom. Exact theoretical description of processes occurring at argon bubbling into steel would be very complex and it would lead to a system of non-linear partial differential equations describing transfer of momentum, heat, components, and with excitation function in the form of equation of so called deterministic chaos (argon bubbling). On the basis of pouring ladle model diagram and concentrations courses, the simplified linear physically adequate model was proposed, which described behaviour of steel concentration in pouring ladle during its bubbling. The analysed process was understood in the form of a cybernetic model.