Chemical Engineering Hand Written Notes

Chemical Engineering Hand Written Notes - CHAPTER 1...

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CHAPTER 1 Mathematical Modeling and Simulation 1. Introduction A modern chemical plant consists of interconnected units such as heat exchangers, reactors, distillation columns, mixers etc. with high degree of inte- gration to achieve energy e ciency. Design and operation of such complex plants is a challenging problem. Mathematical modeling and simulation is a cost ef- fective method of designing or understanding behavior of these chemical plants when compared to study through experiments. Mathematical modeling can- not substitute experimentation, however, it can be e f ectively used to plan the experiments or creating scenarios under di f erent operating conditions. Thus, best approach to solving most chemical engineering problems involves judicious combination of mathematical modeling and carefully planned experiments. To begin with, let us look at types of problems that can arise in context of modeling and simulation. Consider a typical small chemical plant consisting of a reactor and a distillation column, which is used to separate the product as overhead (see Figure 1). The reactants, which are separated as bottom product of the distillation column, are recycled to the reactor. We can identify following
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Chemical Engineering Hand Written Notes - CHAPTER 1...

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