Abstract: As a specific and yet important example of moving-bed technology for the processing of solid materials, the blast furnace for iron-making has been analyzed in the light of the transport phenomena and chemical reactions taking place in it, by applying differential material and heat balances, when coal powder is injected into the tuyeres. Close agreement between the mathematical model developed in this paper and the results of actual measurements on industrially operating blast furnaces points to the validity of the model. The software resulting from the present model possesses a high degree of universality: operating conditions of the blast furnace in terms of axial distribution of temperature, gas composition, reaction rates of the various components, depth of the raceway, coal-to-coke replacement ratio, etc., can be predicted from any input variable such as the parameters related to the hot blast, rate of fuel injection, tuyere dimension, etc., thus providing a basis not only for the proper estimation of the conditions of combustion existing in the blast furnace, but also for the necessary computation leading to the judicious choice of the parameters related to the hot blast and rate of fuel injection, so as to enable the operator to control the distribution of gas flow and temperature for blast furnace performance.