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Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems/ by Gianpietro Elvio Cossali, Simona Tonini.
作者:	Cossali, Gianpietro Elvio.
其他作者:	Tonini, Simona.
面頁冊數:	XI, 399 p. 86 illus., 19 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential Geometry. -
電子資源:	https://doi.org/10.1007/978-3-030-49274-8
ISBN:	9783030492748

Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems
Cossali, Gianpietro Elvio.

Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems[electronic resource] /by Gianpietro Elvio Cossali, Simona Tonini. - 1st ed. 2021. - XI, 399 p. 86 illus., 19 illus. in color.online resource. - 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

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

671118
Differential Geometry.

LC Class. No.: TA357-359

Dewey Class. No.: 620.1064

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