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Book Chapter

The Pi-Theorem

  • Gibbings J
Springer London, (2011), 55-82
DOI: 10.1007/978-1-84996-317-6_3
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Abstract

The final stage in the listed logic of dimensional analysis is given, for the first time in book form, as a fully generalised and rigorous derivation of the pi-theorem. Stress is placed on the essential requirement of the retention of a functional relationship. This proof avoids any problem with a choice of dimensions when these are found not to be the effective ones. Examples of solutions are given to illustrate this.

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APA

Gibbings, J. C. (2011). The Pi-Theorem. In Dimensional Analysis (pp. 55–82). Springer London. https://doi.org/10.1007/978-1-84996-317-6_3

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