Models Derived from Laws and Mathematical Analysis

Dimensional analysis and dynamic scaling allow one to predict, for example, the performance of a full-sized system based on the performance of a small prototype of the system. One constructs a model of the system, tests the model under various operating conditions, and then applies dynamic scaling to predict how the actual system would behave, with the operating conditions scaled as well. 

Rather than build a physical model of the system, one can construct a mathematical model. Rather than translate the design to a physical device, one can translate the 

The third alternative, graphical analysis of empirical data, is used when the complexity of the system prohibits mathematical analysis. This alternative is usually simpler than building a prototype. 

In this chapter we will introduce mathematical modeling in the context of desalinating seawater. 

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Models Derived from Laws and Mathematical Analysis... 

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