Dimensional Analysis

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Springer Science & Business Media, Feb 11, 2011 - Mathematics - 297 pages
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For experiments, dimensional analysis enables the design, checks the validity, orders the procedure and synthesises the data. Additionally it can provide relationships between variables where standard analysis is not available.

This widely valuable analysis for engineers and scientists is here presented to the student, the teacher and the researcher. It is the first complete modern text that covers developments over the last three decades while closing all outstanding logical gaps. Dimensional Analysis also lists the logical stages of the analysis, so showing clearly the care to be taken in its use while revealing the very few limitations of application. As the conclusion of that logic, it gives the author's original proof of the fundamental and only theorem.

Unlike past texts, this book includes examples for which the answer does not already exist from standard analysis. Without naming those texts, it also corrects their many errors by including correct solutions.

The text is written for all branches of engineering and science as a teaching book covering both undergraduate and postgraduate courses, as a guide for the lecturer and as a reference volume for the researcher.


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1 An Elementary Introduction
2 Concepts Dimensions and Units
3 The PiTheorem
4 The Development of Dimensional Analysis
5 The Choice of Dimensions
6 Supplementation of Derivations
7 Systematic Experiment
8 Analytical Results
9 Model Testing
10 Assessing Experimental Correlations
11 Similar Systems
A Derivation of Dimensions of Quantities
Name Index
Subject Index

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About the author (2011)

J. C. Gibbings is Professor Emeritus of the University of Liverpool, Liverpool, UK. He has written numerous papers and books, including several on dimensional analysis.

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