Dimensional Analysis

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.Table 1.2 Quantity Dimensions Dimension symbols i) Velocity Length/time LT1 ii) Acceleration Velocity/time LT2 iii) Velocity gradient ... Stress/velocity gradient ML 1T1 viii) Work Force length ML2T2 ix) Power Work/time ML2T3 x) Electric potential Power/current ML2A1T3 Table 1.3 (1) ... 2 In the older European literature, which is still used 6 1 An Elementary Introduction 1.5 Synthesis of Experimental Data.


Title:Dimensional Analysis
Author: J.C. Gibbings
Publisher:Springer Science & Business Media - 2011-02-11
ISBN-13:

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