Use of Dimensionless Groups in Scale-Up

Since the prototype (P) and the model (M) should be physically similar systems, they should be governed by the same equations. These 

if we arrange for the values of all but one of the dimensionless groups (n2 and n3, above) to be equal between model and prototype, then the remaining dimensionless group (nx above) must be equal between model and prototype. 

The following sections show examples of scale-up using dimensionless groups. 

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