Mathematical Theory Of Liquid Interfaces
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Mathematical Theory Of Liquid Interfaces Liquid Layers Capillary Interfaces Floating Drops And Particles
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Author : Erich Miersemann
language : en
Publisher: World Scientific
Release Date : 2020-03-16
Mathematical Theory Of Liquid Interfaces Liquid Layers Capillary Interfaces Floating Drops And Particles written by Erich Miersemann and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-16 with Science categories.
This book lays a unique and straightforward mathematical foundation on the aspects of liquid layers, capillary interfaces, floating drops and particles. For the first time, these topics are studied in a joint framework. Readers will acquire deeper comprehension and gain results. Practical interest are presented, making it beneficial to engineers and physicists as well as mathematicians.The text takes an insight-oriented approach that gives it immediacy and flexibility. It contains 70 problems where some are exercises, while others are open problems. It is also illustrated with 95 figures and photographs for further understanding.
Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases
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Author : Zhong-Can Ou-Yang
language : en
Publisher: World Scientific
Release Date : 1999
Geometric Methods In The Elastic Theory Of Membranes In Liquid Crystal Phases written by Zhong-Can Ou-Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.
This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic ? A liquid crystal film and its elastic energy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes.
Vapor Liquid Interfaces Bubbles And Droplets
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Author : Shigeo Fujikawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-16
Vapor Liquid Interfaces Bubbles And Droplets written by Shigeo Fujikawa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-16 with Technology & Engineering categories.
Physically correct boundary conditions on vapor-liquid interfaces are essential in order to make an analysis of flows of a liquid including bubbles or of a gas including droplets. Suitable boundary conditions do not exist at the present time. This book is concerned with the kinetic boundary condition for both the plane and curved vapor-liquid interfaces, and the fluid dynamics boundary condition for Navier-Stokes(fluid dynamics) equations. The kinetic boundary condition is formulated on the basis of molecular dynamics simulations and the fluid dynamics boundary condition is derived by a perturbation analysis of Gaussian-BGK Boltzmann equation applicable to polyatomic gases. The fluid dynamics boundary condition is applied to actual flow problems of bubbles in a liquid and droplets in a gas.
Liquid Liquid Interfacestheory And Methods
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Author : Alexander G. Volkov
language : en
Publisher: CRC Press
Release Date : 2020-11-26
Liquid Liquid Interfacestheory And Methods written by Alexander G. Volkov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Science categories.
Update your knowledge of the chemical, biological, and physical properties of liquid-liquid interfaces with Liquid-Liquid Interfaces: Theory and Methods. This valuable reference presents a broadly based account of current research in liquid-liquid interfaces and is ideal for researchers, teachers, and students. Internationally recognized investigators of electrochemical, biological, and photochemical effects in interfacial phenomena share their own research results and extensively review the results of others working in their area. Because of its unusually wide breadth, this book has something for everyone interested in liquid-liquid interfaces. Topics include interfacial and phase transfer catalysis, electrochemistry and colloidal chemistry, ion and electron transport processes, molecular dynamics, electroanalysis, liquid membranes, emulsions, pharmacology, and artificial photosynthesis. Enlightening discussions explore biotechnological applications, such as drug delivery, separation and purification of nuclear waste, catalysis, mineral extraction processes, and the manufacturing of biosensors and ion-selective electrodes. Liquid-Liquid Interfaces: Theory and Methods is a well-written, informative, one-stop resource that will save you time and energy in your search for the latest information on liquid-liquid interfaces.
Interfacial Convection In Multilayer Systems
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Author : A. Nepomnyashchy
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-15
Interfacial Convection In Multilayer Systems written by A. Nepomnyashchy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Mathematics categories.
This book gives a systematic investigation of convection in systems comprised of liquid layers with deformatable interfaces. This new edition includes completely updated and new material on flows in ultra thin films and brings up to date progress made in the technology on micro and nano scales. Also, this revised edition will reflect progress in the dynamics of complex fluids.
Particles At Fluid Interfaces And Membranes
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Author : P. Kralchevsky
language : en
Publisher: Elsevier
Release Date : 2001-01-22
Particles At Fluid Interfaces And Membranes written by P. Kralchevsky and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-22 with Science categories.
In the small world of micrometer to nanometer scale many natural and industrial processes include attachment of colloid particles (solid spheres, liquid droplets, gas bubbles or protein macromolecules) to fluid interfaces and their confinement in liquid films. This may lead to the appearance of lateral interactions between particles at interfaces, or between inclusions in phospholipid membranes, followed eventually by the formation of two-dimensional ordered arrays. The book is devoted to the description of such processes, their consecutive stages, and to the investigation of the underlying physico-chemical mechanisms. The first six chapters give a concise but informative introduction to the basic knowledge in surface and colloid science, which includes both traditional concepts and some recent results. Chapters 1 and 2 are devoted to the basic theory of capillarity, kinetics of surfactant adsorption, shapes of axisymmetric fluid interfaces, contact angles and line tension. Chapters 3 and 4 present a generalization of the theory of capillarity to the case, in which the variation of the interfacial (membrane) curvature contributes to the total energy of the system. The generalized Laplace equation is applied to determine the configurations of free and adherent biological cells. Chapters 5 and 6 are focused on the role of thin liquid films and hydrodynamic factors in the attachment of solid and fluid particles to an interface. Surface forces of various physical nature are presented and their relative importance is discussed. Hydrodynamic interactions of a colloidal particle with an interface (or another particle) are also considered.Chapters 7 to 10 are devoted to the theoretical foundation of various kinds of capillary forces. When two particles are attached to the same interface (membrane), capillary interactions, mediated by the interface or membrane, appear between them. Two major kinds of capillary interactions are described: (i) capillary immersion force related to the surface wettability (Chapter 7), (ii) capillary flotation force originating from interfacial deformations due to particle weight (Chapter 8). Special attention is paid to the theory of capillary immersion forces between particles entrapped in spherical liquid films (Chapter 9). A generalization of the theory of immersion forces allows one to describe membrane-mediated interactions between protein inclusions into a lipid bilayer (Chapter 10).Chapter 11 is devoted to the theory of the capillary bridges and the capillary-bridge forces, whose importance has been recognized in phenomena like consolidation of granules and soils, wetting of powders, capillary condensation, long-range hydrophobic attraction, etc. The nucleation of capillary bridges is also examined.Chapter 12 considers solid particles, which have an irregular wetting perimeter upon attachment to a fluid interface. The undulated contact line induces interfacial deformations, which engender a special lateral capillary force between the particles. The latter contributes to the dilatational and shear elastic moduli of particulate adsorption monolayers.Chapter 13 describes how lateral capillary forces, facilitated by convective flows and some specific and non-specific interactions, can lead to the aggregation and ordering of various particles at fluid interfaces or in thin liquid films. Recent results on fabricating two-dimensional (2D) arrays from micrometer and sub-micrometer latex particles, as well as 2D crystals from proteins and protein complexes, are reviewed. Chapter 14 presents applied aspects of the particle-surface interaction in antifoaming and defoaming. The mechanisms of antifoaming action involve as a necessary step the entering of an antifoam particle at the air-water interface. The considered mechanisms indicate the factors for control of foaminess.
Liquid Surfaces And Interfaces
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Author : Peter S. Pershan
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-02
Liquid Surfaces And Interfaces written by Peter S. Pershan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-02 with Science categories.
A practical guide for graduate students and researchers on all aspects of x-ray scattering experiments on liquid surfaces and interfaces.
Principles Of Solidification
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Author : Martin Eden Glicksman
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-17
Principles Of Solidification written by Martin Eden Glicksman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-17 with Technology & Engineering categories.
“Principles of Solidification” offers comprehensive descriptions of liquid-to-solid transitions encountered in shaped casting, welding, and non-biological bulk crystal growth processes. The book logically develops through careful presentation of relevant thermodynamic and kinetic theories and models of solidification occurring in a variety of materials. Major topics encompass the liquid-state, liquid-solid transformations, chemical macro- and microsegregation, purification by fractional crystallization and zone refining, solid-liquid interfaces, polyphase freezing, and rapid solidification processing. Solid-liquid interfaces are discussed quantitatively both as sharp and diffuse entities, with supporting differential geometric descriptions. The book offers: • Detailed mathematical examples throughout to guide readers • Applications of solidification and crystal growth methodologies for preparation and purification of metals, ceramics, polymers and semiconductors • Appendices providing supporting information on special topics covered in the chapters. Readers in materials, metallurgical, chemical, and mechanical engineering will find this to be a useful source on the subjects of solidification and crystal growth. Chemists, physicists, and geologists concerned with melting/freezing phenomena will also find much of value in this book.
Moving Interface Problems And Applications In Fluid Dynamics
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Author : Boo Cheong Khoo
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Moving Interface Problems And Applications In Fluid Dynamics written by Boo Cheong Khoo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume is a collection of research papers presented at the program on Moving Interface Problems and Applications in Fluid Dynamics, which was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences (IMS) of the National University of Singapore. The topics discussed include modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave and bubble dynamics and various applications including biological treatments with experimental verification, multi-medium flow or multi-phase flow and various applications including cavitation/supercavitation, detonation problems, Newtonian and non-Newtonian fluid, and many other areas. Readers can benefit from some recent research results in these areas.
Mechanical And Thermodynamical Modeling Of Fluid Interfaces
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Author : Rene Gatignol
language : en
Publisher: World Scientific
Release Date : 2001
Mechanical And Thermodynamical Modeling Of Fluid Interfaces written by Rene Gatignol and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures. Constitutive laws are presented for many situations in engineering science, and examples are provided, including surface viscosity effects, variable surface tension and vapor recoil. In addition, some extensions of existing theory are given: stretch effect in premixed flames, relaxation zones downstream two-phase shock waves, and effective surface tension for high gradient zones.