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Principles and applications of dimen...

Longo, Sandro.

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Principles and applications of dimensional analysis and similarity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Principles and applications of dimensional analysis and similarity/ by Sandro G. Longo.
Author:	Longo, Sandro.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	1 online resource (xxxi, 428 p.) :ill. (chiefly col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Dimensional analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-79217-6
ISBN:	9783030792176

Principles and applications of dimensional analysis and similarity
Longo, Sandro.

Principles and applications of dimensional analysis and similarity[electronic resource] /by Sandro G. Longo. - Cham :Springer International Publishing :2021. - 1 online resource (xxxi, 428 p.) :ill. (chiefly col.), digital ;24 cm. - Mathematical engineering,2192-4740. - Mathematical engineering..

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.

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.

ISBN: 9783030792176

Standard No.: 10.1007/978-3-030-79217-6doiSubjects--Topical Terms:

648198
Dimensional analysis.

LC Class. No.: QC20.7.D55 / L66 2021

Dewey Class. No.: 519.535

Principles and applications of dimensional analysis and similarity
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100 1 $a Longo, Sandro. $3 3486929
245 1 0 $a Principles and applications of dimensional analysis and similarity $h [electronic resource] / $c by Sandro G. Longo.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a 1 online resource (xxxi, 428 p.) : $b ill. (chiefly col.), digital ; $c 24 cm.
490 1 $a Mathematical engineering, $x 2192-4740
505 0 $a 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.
520 $a 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.
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650 0 $a Mathematical analysis. $3 516833
650 1 4 $a Analysis. $3 891106
650 2 4 $a Engineering Mechanics. $3 3538834
650 2 4 $a Applications of Mathematics. $3 890893
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