Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems
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Beschreibung
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.
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.
Provides both rigorous treatments of the theory and real-world examples Includes solutions to Laplace and Helmholtz in explicit form and several coordinate systems Addresses the needs of engineering researchers in academia and industry
Autor*in
Gianpietro Elvio Cossali
Themen in »Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems«
Sturm Liouville Problems Separability of PDE Heating and Evaporation of Deformed Drops Heat and Mass Transfer in a Spheroidal Body Moving Boundary Problems Solutions of Transport Equations Solution of Laplace Equation Solution to Helmholtz Equation