國立虎尾科技大學 |

Principles and Applications of Dimensional Analysis and Similarity

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Principles and Applications of Dimensional Analysis and Similarity/ by Sandro G. Longo.
作者:	Longo, Sandro G.
面頁冊數:	XXXI, 428 p. 120 illus., 107 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-030-79217-6
ISBN:	9783030792176

Principles and Applications of Dimensional Analysis and Similarity
Longo, Sandro G.

Principles and Applications of Dimensional Analysis and Similarity[electronic resource] /by Sandro G. Longo. - 1st ed. 2021. - XXXI, 428 p. 120 illus., 107 illus. in color.online resource. - 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:

669175
Applications of Mathematics.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Principles and Applications of Dimensional Analysis and Similarity
LDR:03418nam a22004095i 4500 001 1059878
003 DE-He213
005 20220204200223.0
007 cr nn 008mamaa
008 220414s2021 sz | s |||| 0|eng d
020 $a 9783030792176 $9 978-3-030-79217-6
024 7 $a 10.1007/978-3-030-79217-6 $2 doi
035 $a 978-3-030-79217-6
050 4 $a QA299.6-433
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515 $2 23
100 1 $a Longo, Sandro G. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1366819
245 1 0 $a Principles and Applications of Dimensional Analysis and Similarity $h [electronic resource] / $c by Sandro G. Longo.
250 $a 1st ed. 2021.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a XXXI, 428 p. 120 illus., 107 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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.
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Engineering Mechanics. $3 1366277
650 1 4 $a Analysis. $3 669490
650 0 $a Mathematics. $3 527692
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Mathematical analysis. $3 527926
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030792169
776 0 8 $i Printed edition: $z 9783030792183
776 0 8 $i Printed edition: $z 9783030792190
830 0 $a Mathematical Engineering, $x 2192-4732 $3 1255094
856 4 0 $u https://doi.org/10.1007/978-3-030-79217-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)