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.
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Simon, V., Weigand, B., Gomaa, H. (2017). Some Fundamentals of Dimensional Analysis. In: Dimensional Analysis for Engineers. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-52028-5_1
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DOI: https://doi.org/10.1007/978-3-319-52028-5_1
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-52026-1
Online ISBN: 978-3-319-52028-5
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