ABSTRACT

The theory of dimensional analysis is encapsulated in Buckingham's theorem: // an equation is dimensionally homogeneous, it can be reduced to a relationship among a complete set of dimensionless products. Once the application of this theorem has been understood it may appear to be intuitive but it can in fact be supported by rigorous mathematical proof (Langhaar, 1951). A further general conclusion can be drawn: A set of dimensionless products of given variables is complete if each product in the set is independent of the others and every other dimensionless product of the variables is a product of powers of dimensionless products in the set.