LEADER 04346nam 22006375 450 001 9910299608803321 005 20200705084915.0 010 $a3-319-13476-0 024 7 $a10.1007/978-3-319-13476-5 035 $a(CKB)3710000000399930 035 $a(EBL)2094196 035 $a(SSID)ssj0001501435 035 $a(PQKBManifestationID)11968023 035 $a(PQKBTitleCode)TC0001501435 035 $a(PQKBWorkID)11524631 035 $a(PQKB)11055365 035 $a(DE-He213)978-3-319-13476-5 035 $a(MiAaPQ)EBC2094196 035 $a(PPN)185484514 035 $a(EXLCZ)993710000000399930 100 $a20150415d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDimensional Analysis and Self-Similarity Methods for Engineers and Scientists$b[electronic resource] /$fby Bahman Zohuri 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (379 p.) 300 $aDescription based upon print version of record. 311 $a3-319-13475-2 327 $aDimensional Analysis -- Similitude Theory and Applications,- Dimensional Analysis and Intermediate Asymptotic -- Similarity Methods for Nonlinear Problems -- Similarity Methods and Dimensional Analysis in Engineering Dynamics. 330 $a·         Provides innovative techniques for solving complex nonlinear partial differential equations, previously only available to scientists involved in classified government funded projects. ·         Goes beyond the traditional Pi (Buckingham) Theorem method to apply dimensional analysis to gas dynamics and thermal hydraulics problems where both laminar and turbulent fluids come into play ·         Includes specific examples demonstrating how dimensional analysis can shed light on applications from shock wave impact prediction to plasma confinement. ·         Presents a unique approach to similarity methods by discussing Chaos, Fractals and Arcadia, in addition to the more common Self-Similarity and Fractals Techniques This ground-breaking reference provides an overview of key concepts in dimensional analysis and the scientific approach of similarity methods, including a uniquely robust discussion on self-similarity solutions of the First and Second kinds. The coverage pushes well beyond traditional applications in fluid mechanics and gas dynamics to demonstrate how powerful self-similarity can be in solving complex problems across many diverse fields, using nonlinear Partial Differential Equations (PDEs) by reducing them to Ordinary Differential Equations (ODEs) with a simple traditional analytical solution approach. Of particular interest is the book?s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering from Heat Transfer and Thermal Hydraulic points of view. Numerous practical examples of dimensional analysis problems are presented throughout each chapter, with additional problems presented in each appendix, allowing readers to link the book?s theoretical explanations and step-by-step mathematical solutions to practical implementations. 606 $aNuclear energy 606 $aEconomic theory 606 $aFluid mechanics 606 $aNuclear Energy$3https://scigraph.springernature.com/ontologies/product-market-codes/113000 606 $aEconomic Theory/Quantitative Economics/Mathematical Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/W29000 606 $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044 615 0$aNuclear energy. 615 0$aEconomic theory. 615 0$aFluid mechanics. 615 14$aNuclear Energy. 615 24$aEconomic Theory/Quantitative Economics/Mathematical Methods. 615 24$aEngineering Fluid Dynamics. 676 $a330 676 $a330.0151 676 $a333.7924 676 $a620.1064 676 $a621.042 700 $aZohuri$b Bahman$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720918 906 $aBOOK 912 $a9910299608803321 996 $aDimensional Analysis and Self-Similarity Methods for Engineers and Scientists$92228326 997 $aUNINA