Principles and applications of dimensional analysis and similarity / Sandro G. Longo.
2021
QC20.7.D55 L66 2021
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Details
Title
Principles and applications of dimensional analysis and similarity / Sandro G. Longo.
Author
Longo, Sandro, author.
ISBN
9783030792176 (electronic bk.)
303079217X (electronic bk.)
9783030792169
3030792161
303079217X (electronic bk.)
9783030792169
3030792161
Published
Cham : Springer, [2021]
Copyright
©2021
Language
English
Description
1 online resource : illustrations (chiefly color).
Item Number
10.1007/978-3-030-79217-6 doi
Call Number
QC20.7.D55 L66 2021
Dewey Decimal Classification
519.5/35
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and indexes.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Mathematical engineering.
Available in Other Form
Principles and applications of dimensional analysis and similarity.
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Table of Contents
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.
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.