Authors:
- Brings to light the axioms and fundamental postulates of science, revitalising the conventions and clarifying the conceptual schemes that have allowed the evolution of scientific disciplines as they are currently practised
- Targets researchers and graduate students in engineering and physical sciences, as well as researchers interested in a clarification of the methodology, of dimensional analysis and theory of similarity aims and purposes
- Includes a chapter-end glossary listing the meaning of specific terms typical of dimensional
Part of the book series: Mathematical Engineering (MATHENGIN)
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Table of contents (11 chapters)
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Front Matter
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The Applications
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Front Matter
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Back Matter
About this book
The first four chapters address the definitions, with few dimensional analysis theorems and similarity criteria. There is also the analysis of self-similarity, both of first and second kind, with a couple of completely solved problems, framed within the group theory. From chapter 5 onward, the focus is on applications in some of the engineering sectors. The number of topics is necessarily limited, but, almost always, there are details, calculations and treatment of assumptions. The book contains descriptions of some of the experimental apparatuses currently used for the realisation of physical models, such as the wind tunnel, the shaking table, the centrifuge, and with the exclusion of many others, which can be found in specialist monographies. Measurementtechniques and instrumentation and statistical data processing is also available in other books.
Some more specific notions, required by the context, are reported in the appendix, where appears also the description of numerous dimensionless groups, all of engineering interest, but with the exclusion of many others related to physical processes of electrical nature or physics of particles. A glossary lists the meaning of some specific terms typical of dimensional analysis and used in the book.
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Authors and Affiliations
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Department of Engineering and Architecture, University of Parma, Parma, Italy
Sandro G. Longo
About the author
Bibliographic Information
Book Title: Principles and Applications of Dimensional Analysis and Similarity
Authors: Sandro G. Longo
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-030-79217-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-79216-9Published: 05 February 2022
Softcover ISBN: 978-3-030-79219-0Published: 05 February 2023
eBook ISBN: 978-3-030-79217-6Published: 04 February 2022
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 1
Number of Pages: XXXI, 428
Number of Illustrations: 13 b/w illustrations, 107 illustrations in colour
Topics: Analysis, Mechanical Engineering, Applications of Mathematics