Some Fundamentals of Dimensional Analysis

  • Volker SimonEmail author
  • Bernhard Weigand
  • Hassan Gomaa
Part of the Mathematical Engineering book series (MATHENGIN)


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.


Physical Quantity Dimensional Analysis Dimension Matrix Unit System Homogeneous Form 
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Progress-Werk Oberkirch AGOffenburgGermany
  2. 2.Institut für Thermodynamik der Luft- und RaumfahrtUniversität StuttgartStuttgartGermany
  3. 3.Large Gas TurbinesSiemens AGBerlinGermany

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