Modelling the Inhomogeneous Dead Man of a Blast Furnace: the Population Balance Model Approach (2ee6f7b8-d4bf-4af9-950b-cc7f8789663a)

The packed coke bed in the lower part of an iron making blast furnace, the dead man, dissolves slowly in a pool of hot metal, which is tapped regularly. The coke particles of the dead man not only exhibit a size distribution, but also their size distribution is non-uniform throughout the dead man and as a result, the porosity of the dead man is non-uniform. This causes the flow of hot metal through the dead man to be irregular and non-uniform, bringing about channelling in the coke bed. Channelling is detrimental to the refractory lining life of the hearth of a blast furnace. Using population balance modelling and a porosity model it is possible to keep track of the local changes in size distribution and bed porosity during dissolution of coke particles. Numerical simulations show that carbon dissolution from a packed coke bed (with particles which exhibit a size distribution) increases the average porosity, decreases the mean particle size and changes the size distribution to a distribution with a smaller size range. Influence of the type of initial size distribution (mean, variance) is investigated. The calculated changes in porosity are used to dynamically adapt the flow and the mass transfer (kinetics) during calculations. This approach provides the possibility to implement dynamic porosity calculations for CFD applications, and thus simulate the results of various coke types and particle size distributions on dissolution and flow behaviour.