Dimensional Analysis

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. 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