LEADER 04011nam 22006135 450 001 9910544854403321 005 20251113183110.0 010 $a9783030792176$b(electronic bk.) 010 $z9783030792169 024 7 $a10.1007/978-3-030-79217-6 035 $a(MiAaPQ)EBC6881924 035 $a(Au-PeEL)EBL6881924 035 $a(CKB)21069164300041 035 $a(PPN)260826871 035 $a(OCoLC)1298386994 035 $a(DE-He213)978-3-030-79217-6 035 $a(EXLCZ)9921069164300041 100 $a20220204d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPrinciples and Applications of Dimensional Analysis and Similarity /$fby Sandro G. Longo 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (447 pages) 225 1 $aMathematical Engineering,$x2192-4740 311 08$aPrint version: Longo, Sandro G. Principles and Applications of Dimensional Analysis and Similarity Cham : Springer International Publishing AG,c2022 9783030792169 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $aThe book provides a summary of the historical evolution of dimensional analysis, and frames the problem of dimensions, systems of units and similarity in a vision dominated by the conventions that formalise even the exact sciences. The first four chapters address the definitions, with few dimensional analysis theorems and similarity criteria. There is also the analysis of self-similarity, both of first and second kind, with a couple of completely solved problems, framed within the group theory. From chapter 5 onward, the focus is on applications in some of the engineering sectors. The number of topics is necessarily limited, but, almost always, there are details, calculations and treatment of assumptions. The book contains descriptions of some of the experimental apparatuses currently used for the realisation of physical models, such as the wind tunnel, the shaking table, the centrifuge, and with the exclusion of many others, which can be found in specialist monographies. Measurementtechniques and instrumentation and statistical data processing is also available in other books. Some more specific notions, required by the context, are reported in the appendix, where appears also the description of numerous dimensionless groups, all of engineering interest, but with the exclusion of many others related to physical processes of electrical nature or physics of particles. A glossary lists the meaning of some specific terms typical of dimensional analysis and used in the book. 410 0$aMathematical Engineering,$x2192-4740 606 $aMathematical analysis 606 $aMechanics, Applied 606 $aMathematics 606 $aAnalysis 606 $aEngineering Mechanics 606 $aApplications of Mathematics 615 0$aMathematical analysis. 615 0$aMechanics, Applied. 615 0$aMathematics. 615 14$aAnalysis. 615 24$aEngineering Mechanics. 615 24$aApplications of Mathematics. 676 $a519.535 676 $a519.535 700 $aLongo$b Sandro$0300080 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910544854403321 996 $aPrinciples and Applications of Dimensional Analysis and Similarity$92769472 997 $aUNINA