Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems
1st Edition
Published on 30. June 2020
XI, 399 pages
978-3-030-49274-8 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XI, 399 p. 86 illus., 19 illus. in color.
File size
8,55 MB
ISBN-13
978-3-030-49274-8 (9783030492748)
DOI
10.1007/978-3-030-49274-8
Schweitzer Classification
Other editions
Additional editions
Gianpietro Elvio Cossali | Simona Tonini
Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems
Book
07/2020
Springer
€106.99
Shipment within 7-9 days
Content
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.
