Dimensional analysis
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Dimensional analysis by P. W. Bridgman

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Published by AMS Press in New York .
Written in English


  • Dimensional analysis.

Book details:

Edition Notes

Statementby P. W. Bridgman.
LC ClassificationsQC20.7.D55 B74 1978
The Physical Object
Pagination113 p. ;
Number of Pages113
ID Numbers
Open LibraryOL5212236M
ISBN 100404147747
LC Control Number75041035

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This monograph provides the fundamentals of dimensional analysis and illustrates the method by numerous examples for a wide spectrum of applications in engineering. The book covers thoroughly the fundamental definitions and the Buckingham theorem, as well as the choice of the system of basic units. Dimensional Analysis and Scaling Mathematical models A mathematical model describes the behavior of a real-life system in terms of mathematical equations. These equations represent the relations between the relevant properties of the system under consideration. In these models we meet with variables and Size: KB. Physical equations, dimensional homogeneity, and physical constants 15 Derived quantities of the second kind 19 Systems of units 22 Recapitulation 27 3. Dimensional Analysis 29 The steps of dimensional analysis and Buckingham’s Pi-Theorem 29 Step 1: The independent variables 29File Size: KB. Dimensional analysis is a method that I know from physics, where quantities are "annotated" with a "dimension". E.g. rather than writing $$4\cdot 5 = .

Dimensional Analysis provides the foundation for similitude and for up and downscaling. Aeronautical, Civil, and Mechanical Engineering have used Dimensional Analysis profitably for over one hundred years. Chemical Engineering has made limited use of it due to the complexity of chemical processes.   If we are trusting people, these types of dimensional checks might seem unnecessary. But, rest assured, any textbook on a quantitative subject such as physics (including this one) almost certainly contains some equations with typos. Checking equations routinely by dimensional analysis save us the embarrassment of using an incorrect equation. Lesson Summary. Dimensional analysis, also known as factor-label method or unit-factor method, is a method used to convert one unit to a different do this, we make use of a conversion. Dimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample .