Abstract
The aim of this work is both the mathematical relation and the value variation analysis between CRI and CSR indexes. For this aim the physical mathematical model is proposed on the basis of the ISO-test. The physical basis of the model is a material balance of a one piece of coke from the ISO sample. Results of calculating by the model are curves of CSR=f(CRI) which reproduces the regressions in analogy with CSR=a+b.CRI for most coke-producing countries. The model showed that a larger part of CSR=f(CRI) curve is linear and that a universal regression in analogy with CSR=a+b.CRI does not exist. As follows from the model, every piece of coke from the ISO sample has its own CSR=f(CRI) curve with a CRI and CSR point. Between pieces of coke, variations of CRI and CSR values can be explained by the open pore amount, the coke pores’ surface area, the statistical distribution of molecular oriented domains on the basis of Lc and the coke piece mass. In our results, pores with a geometrical orientation from the outside to the center of a coke piece and having a minimum length significantly influence on the coke quality according to CRI and CSR indexes.
Highlights
The coke quality by the mechanical strength influences the capacity of the blast furnace [1]
We created and studied the model which reproduces the curves of coke strength properties (CSR) = f(CRI) in the experimental data range of CRI and CSR
The following results are made on the basis of the model: 1) A larger part of the CSR = f(CRI) curve is linear; 2) The universal regression by type CSR = a + b ∗ CRI
Summary
Nowadays the majority of metallurgy companies in the world are using the two-stage technology of steel making which consists of the blast-furnace cast-iron smelting and various methods of its conversion to steel. All methods or standards for assessing the coke mechanical strength quality have a general physical basis which is a revolving drum with pieces of coke. From the general physical basis, a universal formula must exist for transforming one mechanical strength index to another. We provide in the article a detailed construction of our model from hypotheses to the configuration of dependences CSR = f (CRI) (Appendix A), discussion of hypotheses (Appendix B) and simulation results (Section 3). Such a presentation, in our opinion, allows us to formulate new questions on the coke quality formation, which are still poorly studied. Consider our work as an attempt to make a contribution to the footing of the coke quality theory
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