Abstract
Abstract It becomes apparent at an early stage in one’s career as an engineer that purely theoretical analyses rarely produce completely correct solutions to the problems set by real systems. For example, the detailed perf9rmance of many metallurgical and chemical reactors of the type mentioned in Chapter 1 would defy analytical solution. While it may be desirable to have a complete mathematical solution describing gas, steel and slag flows in a basic oxygen furnace, together with associated chemical reactions, the task would be difficult for even the most sophisticated of mathematical models. The problem is certainly not amenable to analytical solution. It is clear that alternative approaches are needed in the analysis of such problems.
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