Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems

Author:   Gianpietro Elvio Cossali ,  Simona Tonini
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
ISBN:  

9783030492762


Pages:   399
Publication Date:   01 July 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems


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Overview

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.

Full Product Details

Author:   Gianpietro Elvio Cossali ,  Simona Tonini
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   0.629kg
ISBN:  

9783030492762


ISBN 10:   3030492761
Pages:   399
Publication Date:   01 July 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.  

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