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010   $a3-030-49274-5
024 7 $a10.1007/978-3-030-49274-8
035   $a(CKB)4100000011325595
035   $a(MiAaPQ)EBC6271309
035   $a(DE-He213)978-3-030-49274-8
035   $a(PPN)248596101
035   $a(EXLCZ)994100000011325595
100   $a20200630d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDrop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems /$fby Gianpietro Elvio Cossali, Simona Tonini
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (xi, 399 pages)
225 1 $aMathematical Engineering,$x2192-4732
311   $a3-030-49273-7 
320   $aIncludes bibliographical references.
327   $aPart I: Mathematical tools -- Introduction to tensor analysis -- Elements of di?erential geometry of a surface -- Separability of PDE -- Orthogonal curvilinear coordinate systems -- Sturm-Liouville problems -- Part II: Mass, momentum and energy conservation equations in curvilinear coordinates -- Conservation equations. .
330   $aThis book describes analytical methods for modelling drop evaporation, providing the mathematical tools needed in order to generalise transport and constitutive equations and to find analytical solutions in curvilinear coordinate systems. Transport phenomena in gas mixtures are treated in considerable detail, and the basics of differential geometry are introduced in order to describe interface-related transport phenomena. One chapter is solely devoted to the description of sixteen different orthogonal curvilinear coordinate systems, reporting explicitly on the forms of their differential operators (gradient, divergent, curl, Laplacian) and transformation matrices. The book is intended to guide the reader from mathematics, to physical descriptions, and ultimately to engineering applications, in order to demonstrate the effectiveness of applied mathematics when properly adapted to the real world. Though the book primarily addresses the needs of engineering researchers, it will also benefit graduate students.
410  0$aMathematical Engineering,$x2192-4732
606   $aFluid mechanics
606   $aEngineering mathematics
606   $aComputer mathematics
606   $aMathematical models
606   $aDifferential geometry
606   $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044
606   $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030
606   $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
615  0$aFluid mechanics.
615  0$aEngineering mathematics.
615  0$aComputer mathematics.
615  0$aMathematical models.
615  0$aDifferential geometry.
615 14$aEngineering Fluid Dynamics.
615 24$aEngineering Mathematics.
615 24$aComputational Science and Engineering.
615 24$aMathematical Modeling and Industrial Mathematics.
615 24$aDifferential Geometry.
676   $a530.427
676   $a536.44
700   $aCossali$b Gianpietro Elvio$4aut$4http://id.loc.gov/vocabulary/relators/aut$01225672
702   $aTonini$b Simona$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484019903321
996   $aDrop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems$92845726
997   $aUNINA