Some Fundamentals of Dimensional Analysis
This chapter provides an introduction into the topic of dimensional analysis. Terms and definitions are given. It is shown what a physical quantity, a base quantity and a quantity system is. Then physical equations and dimensional constants are explained. The Buckingham-Theorem (Pi-Theorem) is derived and explained. Here it is shown that the introduction of non-dimensional quantities reduces the number of dependent variables. This is visualized by a simple example. At the end of Chapter 1 the choice of the base system is discussed and the implications of that choice are highlighted for some examples.