Dimensional Analysis (Google eBook)

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Springer, Feb 11, 2011 - MATHEMATICS - 311 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, Dimensional Analysis includes examples for which the answer does not already exist from standard analysis. It also corrects the many errors present in the existing literature by including accurate solutions. Dimensional Analysis 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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Contents

1 An Elementary Introduction
1
2 Concepts Dimensions and Units
25
3 The PiTheorem
55
4 The Development of Dimensional Analysis
83
5 The Choice of Dimensions
95
6 Supplementation of Derivations
115
7 Systematic Experiment
149
8 Analytical Results
179
9 Model Testing
219
10 Assessing Experimental Correlations
255
11 Similar Systems
273
A Derivation of Dimensions of Quantities
285
Name Index
291
Subject Index
294
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