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Drop heating and evaporationanalytic...

Cossali, Gianpietro Elvio.

Drop heating and evaporationanalytical solutions in curvilinear coordinate systems /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Drop heating and evaporationby Gianpietro Elvio Cossali, Simona Tonini.
Reminder of title:	analytical solutions in curvilinear coordinate systems /
Author:	Cossali, Gianpietro Elvio.
other author:	Tonini, Simona.
Published:	Cham :Springer International Publishing :2021.
Description:	xi, 399 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Evaporation.
Online resource:	https://doi.org/10.1007/978-3-030-49274-8
ISBN:	9783030492748$q(electronic bk.)

Drop heating and evaporationanalytical solutions in curvilinear coordinate systems /
Cossali, Gianpietro Elvio.

Drop heating and evaporationanalytical solutions in curvilinear coordinate systems /[electronic resource] :by Gianpietro Elvio Cossali, Simona Tonini. - Cham :Springer International Publishing :2021. - xi, 399 p. :ill. (some col.), digital ;24 cm. - Mathematical engineering,2192-4740. - Mathematical engineering..

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.

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.

ISBN: 9783030492748$q(electronic bk.)

Standard No.: 10.1007/978-3-030-49274-8doiSubjects--Topical Terms:

752225
Evaporation.

LC Class. No.: QC304 / .C67 2021

Dewey Class. No.: 536.44

Drop heating and evaporationanalytical solutions in curvilinear coordinate systems /
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245 1 0 $a Drop heating and evaporation $h [electronic resource] : $b analytical solutions in curvilinear coordinate systems / $c by Gianpietro Elvio Cossali, Simona Tonini.
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505 0 $a 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.
520 $a 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.
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