Heat Transfer in the Enclosing Structures of a Blast Furnace. Part 2. Solution of boundary-value problems of heat transfer

Abstract

This work is the second part out of a series of articles with a shared name “Heat transfer in the shielding structure of the blast furnace”. In the first part with the subtitle “Problem Statement and background for calculation” multilayer shielding structures of the blast furnace were examined. A description of the layers that are a part of these structures is presented. The lining layer is focused on. The process of cast iron smelting and the temperature zones of the individual layers of the blast furnace internal environment are briefly described. Based on A.V.Lykov’s theory original equations were analyzed, they describe interconnected heat and mass transfer in a solid object as applied to the given problem – appropriate process depiction aimed at the further rational development work on the multilayer shielding structures of the blast furnace. A priori the shielding mathematically is considered as an unlimited plate. In the second part boundary problems of heat transmission are examined in separate layers of the structure with different boundary conditions, solutions for them are introduced which are the basis of development of the mathematical model of the nonstationary process of heat transfer in the multilayered shielding structure. The mathematical model will be introduced in the third part of the series of articles.