Abstract
The purpose of the study is the systematization of problems related to the study of the thermal state of objects and melts in industrial production and ways to solve them. In particular, the problems characteristic for a metallurgical enterprise are: mathematical modeling of electromagnetic fields in systems for induction heating of the hardware industry; development of information support for an energy-saving mode of heating billets before rolling in a continuous-type heating furnace; application of the basis of the classical equations of heat and mass transfer and multivariate analysis to simulate the processes in the ladle furnace unit; development of pseudo-dynamic and quasidynamic models describing the thermal state of an infinitely extended object. All these tasks have a thermal nature and despite the difference in the objects of study, they use mathematical models to study the thermal state of objects and control thermal processes. The implementation of mathematical models is made using modern computer software. All studies were conducted by scientific schools of the Nosov Magnitogorsk State Technical University and were extensively tested and implemented in operating production facilities.
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