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Titlebook: Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems; Gianpietro Elvio Cossali,Simona Tonini Book 2021 Spr

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书目名称Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems
编辑Gianpietro Elvio Cossali,Simona Tonini
视频video
概述Provides both rigorous treatments of the theory and real-world examples.Includes solutions to Laplace and Helmholtz in explicit form and several coordinate systems.Addresses the needs of engineering r
丛书名称Mathematical Engineering
图书封面Titlebook: Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems;  Gianpietro Elvio Cossali,Simona Tonini Book 2021 Spr
描述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.
出版日期Book 2021
关键词Sturm Liouville Problems; Separability of PDE; Heating and Evaporation of Deformed Drops; Heat and Mass
版次1
doihttps://doi.org/10.1007/978-3-030-49274-8
isbn_softcover978-3-030-49276-2
isbn_ebook978-3-030-49274-8Series ISSN 2192-4732 Series E-ISSN 2192-4740
issn_series 2192-4732
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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发表于 2025-3-21 21:52:09 | 显示全部楼层
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Sturm–Liouville Problemsmented with B.C.s and the reduction of the initial PDE to second order ODEs often yield a so-called Sturm–Liouville (SL) problem (named after the French mathematicians Jacques Charles François Sturm, 1803–1855, and Joseph Liouville, 1809–1882).
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Conservation Equations is isolated. In fluid mechanics there are at least two ways to mathematically state the conservation of quantities like mass, chemical species, momentum and energy. The first one states the conservation law over any finite portion of fluid in a so-called .; the second one states the law for any poi
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Introduction to Constitutive Equationsnumber of unknown functions was far larger than that of the equations. To allow the closure of the problem some quantities need to be related to others and to the properties of matter, and these are the diffusive mass fluxes, ., the deviatoric stress tensor, ., the internal energy per unity of mass,
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One-Dimensional Modelling of Drop Heating and Evaporation Under Steady Conditionsa remarkable challenge, particularly when an analytical approach is chosen. The problem can be greatly simplified introducing some assumptions, like sphericity of the drop, constancy of the thermo-physical properties and steadiness.
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Drop Evaporation Under Unsteady Conditionsy unphysical: a mass source inside the drop is needed to maintain the drop shape unchanged during evaporation. To relieve this assumption a time dependent problem must be set and solved, increasing the complexity of analytical approaches. In particular, even for a spherical drop shrinking by evapora
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