Dimensional Analysis

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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.

Author(s): J.C. Gibbings (auth.)
Edition: 1
Publisher: Springer-Verlag London
Year: 2011

Language: English
Pages: 297
Tags: Analysis; Appl.Mathematics/Computational Methods of Engineering; Mechanical Engineering

Front Matter....Pages i-xiii
An Elementary Introduction....Pages 1-23
Concepts, Dimensions and Units....Pages 25-54
The Pi-Theorem....Pages 55-82
The Development of Dimensional Analysis....Pages 83-93
The Choice of Dimensions....Pages 95-114
Supplementation of Derivations....Pages 115-147
Systematic Experiment....Pages 149-177
Analytical Results....Pages 179-218
Model Testing....Pages 219-254
Assessing Experimental Correlations....Pages 255-271
Similar Systems....Pages 273-284
Back Matter....Pages 285-297