Mathematical and statistical tools for chemical process modeling and performance improvement

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Chemical engineers use mathematical models for a variety of needs - to summarize understanding about how chemical processes work, for predicting how they will behave if changes are made, for learning how to improve the design of products or manufacturing processes, for designing controllers to ensure safe, reliable and profitable operation, and to monitor the operation of the processes to watch for deteriorating equipment and failures. When building models engineers have to decide what type of mathematical equations to use, and how much physical detail to model. The goal is to balance the need for complicated models against the benefits from using them. Mathematical models also contain constants which have to be estimated by running experiments and collecting experimental information from operating plants. These constants are estimated using statistical techniques.