MODELING AND ANALYSIS OF HEATING OF OXIDIZING SLABS IN CONTINUOUS FURNACES

Abstract

Introduction. In the context of increasing requirements for the quality and efficiency of metal heating in continuous furnaces, the task of creating and improving the algorithmic support of their control systems, in particular, the calculation and instrumental feedback loop for the temperature state of heated billets, is quite relevant. The purpose of the study. To consider the features of modeling slab hea¬ting in continuous furnaces with and without explicit consideration of scale formation, which is practically observed on their surface. Materials and methods. An analysis of literary sources was performed and a generalization of the known results on the problem of modeling slab heating with explicit consideration of scale formation was carried out. Results. A mathematical model of asymmetric slab heating with explicit consideration of the surface scale layer is presented. The features of its finite-difference approximation using the method of meshes with movable nodes are described. Based on the computational study, the ef-fect of the oxidation process on the heating of billets in continuous furnaces was assessed. The practical feasibi¬lity of a mathematical description of slab heating without explicitly accounting for the surface scale layer is demonstrated. The structure of the formula for the equivalent heat transfer coefficient is deter-mined, which is crucial for analyzing the effect of the oxidation on heating intensity and for the structural synthesis of its model. Conclusion. The results of this study can be used in the development and improve-ment of algorithmic support for automated process control systems for continuous furnaces.