Mathematical Engineering
cover

Principles and Applications of Dimensional Analysis and Similarity

Authors: Longo, Sandro

  • 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
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eBook 64,19 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: November 4, 2021
  • ISBN 978-3-030-79217-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 77,99 €
price for Spain (gross)
  • Due: November 4, 2021
  • ISBN 978-3-030-79216-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

The book provides a summary of the historical evolution of dimensional analysis, and frames the problem of dimensions, systems of units and similarity in a vision dominated by the conventions that formalise even the exact sciences.

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. Measurement techniques 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.

About the authors

Sandro Longo is full professor of Hydraulics at the University of Parma, Italy, where he teaches Hydraulics and Environmental and Coastal Hydraulics and where he is also director of the Hydraulics Laboratory. His research interests include water wave generation and numerical modelling of sea waves, sediment transport, turbulence analysis, debris flows, soil quality management, non-Newtonian fluids in porous media and flows in poroelastic media, gravity currents, stratified flows. He is author or co-author of three books on Dimensional Analysis, Water Waves Mechanics, Measurements and Hydraulic Control Systems and of two textbooks on Exercises in Hydraulics and Fluid Mechanics. He serves in the editorial board of several international journals.

Buy this book

eBook 64,19 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: November 4, 2021
  • ISBN 978-3-030-79217-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 77,99 €
price for Spain (gross)
  • Due: November 4, 2021
  • ISBN 978-3-030-79216-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Principles and Applications of Dimensional Analysis and Similarity
Authors
Series Title
Mathematical Engineering
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-79217-6
DOI
10.1007/978-3-030-79217-6
Hardcover ISBN
978-3-030-79216-9
Series ISSN
2192-4732
Edition Number
1
Number of Pages
XXXI, 429
Number of Illustrations
13 b/w illustrations, 106 illustrations in colour
Topics