Mathematical Model of Heat Transfer for Tuyere Under Non-Transparent Medium Environment

To develop the mathematical model of the heat transfer relations between the tuyere and other high temperature radiation objects in BF under the non-transparent medium condition, based on the qualitative analyses of burning-mixture flow regularity, chemical reactions, heat radiations and thermotechnical characteristics of convection heat transfer occurring on the outside surface of tuyere, referring to the geometrical features of air-cooled tuyere and the view factors between radiating surfaces, eight hypotheses were raised. By using radiosity concept from radiation heat transfer theory, the exchanging-heat mathematical models between high-temperature radiating surfaces in blast furnace were developed. Based on analyses of the order of magnitude of radiating heat exchanged between radiating surfaces, the smaller radiating heat is ignored and the algebraic equations to solve the heat radiosity set were developed. Based on it, the general method to solve the radiant heat occurring on the outside surface of tuyere was developed. The mathematical model lays the foundation to solve the thermotechnical parameters of outside surface of air-cooled tuyere and points out the main research orientations to solve the exchanged heat occurring on the outside surface of air-cooled tuyere.