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Some Fundamentals of Dimensional Analysis

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

Abstract

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.

Keywords

Physical Quantity Dimensional Analysis Dimension Matrix Unit System Homogeneous Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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