04141nam 22006855 450 991048401990332120200630202058.03-030-49274-510.1007/978-3-030-49274-8(CKB)4100000011325595(MiAaPQ)EBC6271309(DE-He213)978-3-030-49274-8(PPN)248596101(EXLCZ)99410000001132559520200630d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDrop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems[electronic resource] /by Gianpietro Elvio Cossali, Simona Tonini1st ed. 2021.Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (xi, 399 pages)Mathematical Engineering,2192-47323-030-49273-7 Includes bibliographical references.Part I: Mathematical tools -- Introduction to tensor analysis -- Elements of differential 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. .This 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.Mathematical Engineering,2192-4732Fluid mechanicsEngineering mathematicsComputer mathematicsMathematical modelsDifferential geometryEngineering Fluid Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15044Engineering Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/T11030Computational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Fluid mechanics.Engineering mathematics.Computer mathematics.Mathematical models.Differential geometry.Engineering Fluid Dynamics.Engineering Mathematics.Computational Science and Engineering.Mathematical Modeling and Industrial Mathematics.Differential Geometry.530.427Cossali Gianpietro Elvioauthttp://id.loc.gov/vocabulary/relators/aut1225672Tonini Simonaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910484019903321Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems2845726UNINA