A mathematical model capable of describing the liquid flow mainly in a blast furnace

The molten liquid flow inside a packed bed is a familiar momentum transportation phenomenon in a blast furnace. With regard to the reported mathematical models describing the liquid flow within a packed bed, there are some obstacles for their application in engineering design, or some limitations in the model itself. To overcome these problems, the forces from the packed bed to the liquid flow were divided into appropriate body and surface forces on the basis of three assumptions. Consequently, a new mathematical model was built to present the liquid flow inside the coke bed in a blast furnace. The mathematical model can predict the distribution of liquid flowrate and the liquid flowing range inside the packed bed at any time. The predicted results of this model accord well with the experimental data. The model will be applied considerably better in the simulation on the ironmaking process compared with the existent models.

A New Mathematical Model for Description of the Liquid Discrete Flow Within a Packed Bed

The molten liquid discrete flow inside a packed bed is a typical transport phenomenon in the blast furnace. As for the reported mathematical models presenting the liquid discrete flow within the packed bed, there are some barriers for their application to an engineering scale-up, or some imperfections in model descriptions. To overcome these deficiencies, the effects of the packed bed on the liquid discrete flow have been divided into resistance action and dispersal action, and appropriate descriptions have been given for the two aetions, respectively. Consequently, a new mathematical model has been built to present the liquid discrete flow inside a coke bed in the blast furnace. The mathematical model can predict the distribution of liquid flux and the liquid flowing range inside the packed bed at any time. The prediction of this model accords well with the experimental data. The model will be much better for the simulation of the ironmaking process, compared with the existent model.

Prediction of density and volume variation of hematite ore particles during in-flight melting and reduction

HIsarna is a promising ironmaking technology to reduce CO2 emission.Information of phase transformation is essential for reaction analysis of the cyclone reactor of the HIsarna process.In addition,data of density and volume of the ore particles are necessary for estimation of the residence time of the particles in the cyclone reactor.Phase transformation of iron ore particles was experimentally studied in a drop-tube furnace under simulated cyclone conditions and compared with thermodynamic calculation.During the pre-reduction process inside the reactor,the mineralogy of iron ore particles transforms sequentially from hematite to sub-oxides.The density changes of the particles during the melting and reduction can be predicted based on the phase composition and temperature.Therefore,density models in the studies were evaluated with reported experimental data of slag.As a result,a more reliable density model was developed to calculate the density of the formed slag containing mainly FeO–Fe2O3.The density and volume of the partially reduced ore particles or melt droplets were estimated based on this model.The results show that the density of the ore particles decreases by 15.1%at most along the progressive reduction process.Furthermore,the model results also indicate that heating,melting and reduction of the ore could lead to 6.63%–9.37%swelling of the particles,which is mostly contributed by thermal expansion.It would result in corresponding variation in velocity of the ore particles or melt droplets during the flight inside the reactor.