Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems

Gianpietro Elvio Cossali, Simona Tonini (Autoren)

Buch | Hardcover

XI, 399 Seiten

2020
Springer International Publishing (Verlag)
978-3-030-49273-1 (ISBN)

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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 alsobenefit graduate students.

Part 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.

Erscheinungsdatum	08.07.2020
Reihe/Serie	Mathematical Engineering
Zusatzinfo	XI, 399 p. 86 illus., 19 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	781 g
Themenwelt	Technik ► Maschinenbau
Schlagworte	Heat and Mass Transfer in a Spheroidal Body • Heating and Evaporation of Deformed Drops • Moving Boundary Problems • Separability of PDE • Solution of Laplace Equation • Solutions of Transport Equations • Solution to Helmholtz Equation • Sturm Liouville Problems
ISBN-10	3-030-49273-7 / 3030492737
ISBN-13	978-3-030-49273-1 / 9783030492731
Zustand	Neuware