Equilibrium Capillary Surfaces

Equilibrium Capillary Surfaces

Author: Robert Finn

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 260

ISBN-13: 1461385849

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Capillarity phenomena are all about us; anyone who has seen a drop of dew on a plant leaf or the spray from a waterfall has observed them. Apart from their frequently remarked poetic qualities, phenomena of this sort are so familiar as to escape special notice. In this sense the rise of liquid in a narrow tube is a more dramatic event that demands and at first defied explanation; recorded observations of this and similar occur rences can be traced back to times of antiquity, and for lack of expla nation came to be described by words deriving from the Latin word "capillus", meaning hair. It was not until the eighteenth century that an awareness developed that these and many other phenomena are all manifestations of some thing that happens whenever two different materials are situated adjacent to each other and do not mix. If one (at least) of the materials is a fluid, which forms with another fluid (or gas) a free surface interface, then the interface will be referred to as a capillary surface.


Capillary Surfaces

Capillary Surfaces

Author: Dieter W. Langbein

Publisher: Springer

Published: 2003-07-01

Total Pages: 374

ISBN-13: 3540452672

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Featuring a foreword by the astronaut Ulf Merbold, this book is devoted to interfaces between two fluids, that is, between a liquid and a gas or between two liquids. It is the first review on the subject, providing an up-to-date overview.


Thermodynamics of Surfaces and Interfaces

Thermodynamics of Surfaces and Interfaces

Author: Gerald H. Meier

Publisher: Cambridge University Press

Published: 2014-07-17

Total Pages: 255

ISBN-13: 0521879086

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An accessible yet rigorous discussion, featuring case studies and study problems to illustrate and reinforce key concepts.


Capillarity and Wetting Phenomena

Capillarity and Wetting Phenomena

Author: Pierre-Gilles de Gennes

Publisher: Springer Science & Business Media

Published: 2013-03-20

Total Pages: 298

ISBN-13: 0387216561

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The study of capillarity is in the midst of a veritable explosion. What is offered here is not a comprehensive review of the latest research but rather a compendium of principles designed for the undergraduate student and for readers interested in the physics underlying these phenomena.


Equilibria and Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces

Equilibria and Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces

Author: W.A. Steele

Publisher: Elsevier

Published: 1996-12-17

Total Pages: 909

ISBN-13: 0080531199

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The fact that the surfaces of real solids are geometrically distorted and chemically non-uniform has long been realized by the scientists investigating various phenomena occurring on solid surfaces. Even in the case when diffraction experiments show a well-organized bulk solid structure, the surface atoms or molecules will usually exhibit a much smaller degree of surface organization. In addition to the results obtained from electron diffraction, this can be seen in the impressive images obtained from STM and AFM microscopies. This geometric and chemical disorder is the source of the energetic heterogeneity for molecules adsorbing on real solid surfaces. Hundreds of papers have been published showing that this heterogeneity is a major factor in determining the behaviour of real adsorption systems.Studies of adsorption on energetically heterogeneous surfaces have proceeded along three somewhat separate paths, with only minor coupling of ideas. One was the study of adsorption equilibria on heterogeneous solid surfaces. The second path was the study of time evolution of adsorption processes such as surface diffusion or adsorption-desorption kinetics on heterogeneous surfaces, and the third was the study of adsorption in porous solids, or more generally, adsorption in systems with limited dimensions. The present monograph is a first attempt to provide a synthesis of the ways that surface geometric and energetic heterogeneities affect both the equilibria and the time evolution of adsorption on real solids. The book contains 17 chapters written by a team of internationally recognized specialists, some of whom have already published books on adsorption.


Capillary Forces in Microassembly

Capillary Forces in Microassembly

Author: Pierre Lambert

Publisher: Springer Science & Business Media

Published: 2007-08-29

Total Pages: 266

ISBN-13: 0387710892

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Capillary Forces in Microassembly discusses the use of capillary forces as a gripping principle in microscale assembly. Clearly written and well-organized, this text brings together physical concepts at the microscale with practical applications in micromanipulation. Throughout this work, the reader will find a review of the existing gripping principles, elements to model capillary forces as well as descriptions of the simulation and experimental test bench developed to study the design parameters. Using well-known concepts from surface science (such as surface tension, capillary effects, wettability, and contact angles) as inputs to mechanical models, the amount of effort required to handle micro-components is then predicted. Researchers and engineers involved in micromanipulation and precision assembly will find this a highly useful reference for microassembly system design and analysis.


Nonlinear Diffusion Equations and Their Equilibrium States I

Nonlinear Diffusion Equations and Their Equilibrium States I

Author: W.-M. Ni

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 359

ISBN-13: 1461396050

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In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the n-dimensional Laplacian, the solution u = u(x, t) is defined over some space-time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its time-independent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the Lend-Emden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution.