## The Development of a Mathematical Model structure for the design of flow processes

December 2nd, 1976

### Systems Technology Group paper, ICI Europa

*S F Bush, revised 1st June 1978 and again on 31st January 1979.*

#### Summary

The paper describes ideas of a mathematical nature which have been developed and applied to the fundamental design of process systems, the emphasis being on those in which there is combined flow and chemical or physical state changes. The development has been designed specifically for digital computation and allows the structure of any particular model, especially its geometry and the basic processes of physical or chemical change to be as accessible to alteration as individual parameter values commonly are. The structure is designed to simulate real systems directly rather than their differential equations and in this way avoids or mitigates some important problems of a numerical-mathematical character. Examples are given. The structure is designed also to facilitate the elucidation of experimental data, particularly its scale-dependency. The overall development is exemplified by the experimental and computational analysis of chemical kinetics problems treated in Bush and Dyer (1976).