ABSTRACT
In the practice of chemical engineering, dimensional analysis and scaling are
techniques that can be employed to emphasize similarities between a proto-
type and its model. Dimensionless quantities are developed, which can serve
as new variables. Usually, the number of new variables is much smaller than
the original number of physical variables of the system under consideration.
For example, suppose one is interested in conducting an investigation to
determine the power required to drive an ordinary house fan [1]. More
specifically, suppose one wants to relate the size and shape of the fan to the
rotational speed and torque, where Newton’s second law relates the torque (t) to the forces generated when the fan accelerates the air which passes through
it. Suppose the torque is chosen as the dependent variable and the physical
variables are the following:
