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Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems

  • Gianpietro Elvio Cossali
  • Simona Tonini
Book
  • 136 Downloads

Part of the Mathematical Engineering book series (MATHENGIN)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Mathematical Tools

    1. Front Matter
      Pages 1-1
    2. Gianpietro Elvio Cossali, Simona Tonini
      Pages 3-40
    3. Gianpietro Elvio Cossali, Simona Tonini
      Pages 41-71
    4. Gianpietro Elvio Cossali, Simona Tonini
      Pages 73-88
    5. Gianpietro Elvio Cossali, Simona Tonini
      Pages 89-148
    6. Gianpietro Elvio Cossali, Simona Tonini
      Pages 149-181
  3. Mass, Momentum and Energy Conservation Equations in Curvilinear Coordinates

    1. Front Matter
      Pages 183-183
    2. Gianpietro Elvio Cossali, Simona Tonini
      Pages 185-206
    3. Gianpietro Elvio Cossali, Simona Tonini
      Pages 207-224
    4. Gianpietro Elvio Cossali, Simona Tonini
      Pages 225-233
    5. Gianpietro Elvio Cossali, Simona Tonini
      Pages 235-249
  4. Analytical Modelling of Drop Heating and Evaporation

    1. Front Matter
      Pages 251-251
    2. Gianpietro Elvio Cossali, Simona Tonini
      Pages 253-295
    3. Gianpietro Elvio Cossali, Simona Tonini
      Pages 329-356
    4. Gianpietro Elvio Cossali, Simona Tonini
      Pages 357-370
  5. Back Matter
    Pages 371-399

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Gianpietro Elvio Cossali
    • 1
  • Simona Tonini
    • 2
  1. 1.Department of Engineering and Applied SciencesUniversity of BergamoDalmineItaly
  2. 2.Department of Engineering and Applied SciencesUniversity of BergamoDalmineItaly

Bibliographic information

  • DOI http://doi.org/10.1007/978-3-030-49274-8
  • Copyright Information Springer Nature Switzerland AG 2021
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-030-49273-1
  • Online ISBN 978-3-030-49274-8
  • Series Print ISSN 2192-4732
  • Series Online ISSN 2192-4740
  • Buy this book on publisher's site