“I really enjoyed this book. The writing is clear and eloquent, and it was fun to see a wide range of fundamental physical principles derived in a concise manner. The book is substantial with a wide scope, so should be valuable to many.” (D. J. W. Simpson, SIAM Review, Vol. 65 (3), 2023)

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. 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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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.

Les mer
Introduction.- Dimensional Analysis.- Handling dimensionless groups in Dimensional Analysis.- Symmetry and affine transformations.- The theory of similarity and applications to models.- Applications in Fluid Mechanics and Hydraulics.- Applications to Heat Transfer Problems.- Applications to problems of forces and deformations.- Applications in Geotechnics.- Applications in wind tunnels technology.- Physical models in River Hydraulics.- Physical models with sediment transport.
Les mer
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. 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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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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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9783030792169
Publisert
2022-02-05
Utgiver
Vendor
Springer Nature Switzerland AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Graduate, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet

Forfatter

Biographical note

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.