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Wave evolution on a falling film is a classical hydrodynamic instability whose rich wave dynamics have been carefully recorded in the last fifty years. Such waves are known to profoundly affect the mass and heat transfer of multi-phase industrial units. This book describes the collective effort of both authors and their students in constructing a comprehensive theory to describe the complex wave evolution from nearly harmonic waves at the inlet to complex spatio-temporal patterns involving solitary waves downstream. The mathematical theory represents a significant breakthrough from clas
Pure sciences. Natural sciences (general) --- Liquid films. --- Waves. --- Interfaces (Physical sciences) --- Surface chemistry --- Surfaces (Physics) --- Cycles --- Hydrodynamics --- Benjamin-Feir instability --- Films, Liquid --- Surfaces (Technology) --- Thin films
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Liquid films --- Surface chemistry --- 536.75 --- 541.18 --- 541.18 Colloid chemistry. Chemistry of adsorption phenomena. Capillary chemistry --- Colloid chemistry. Chemistry of adsorption phenomena. Capillary chemistry --- 536.75 Entropy. Statistical thermodynamics. Irreversible processes --- Entropy. Statistical thermodynamics. Irreversible processes --- Chemistry, Surface --- Interfaces, Chemistry of --- Surface phenomena --- Surfaces (Chemistry) --- Chemistry, Physical and theoretical --- Capillarity --- Surface energy --- Surface tension --- Surfaces (Physics) --- Films, Liquid --- Surfaces (Technology) --- Thin films --- fysicochemie --- Surface chemistry. --- Liquid films. --- Couches minces. --- Chimie des surfaces.
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Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate. This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It will also be of use for a more general understanding of specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flows through a hierarchy of modeling approaches, including equations of the boundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experiment is illustrated, and, as a further bridge between the two, the development of order-of-magnitude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal to advanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mechanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on both applied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes involving isothermal or heated films. This monograph is largely self-contained and no background on interfacial fluid mechanics is assumed.
Hydrodynamics -- Mathematical models. --- Liquid films -- Mathematical models. --- Liquid films --- Hydrodynamics --- Engineering & Applied Sciences --- Physics --- Physical Sciences & Mathematics --- Applied Mathematics --- Atomic Physics --- Mathematical models --- Liquid films. --- Films, Liquid --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Visualization. --- Physics. --- Continuum physics. --- Fluids. --- Applications of Mathematics. --- Classical Continuum Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Fluid- and Aerodynamics. --- Theoretical, Mathematical and Computational Physics. --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Classical field theory --- Continuum physics --- Continuum mechanics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Visualisation --- Imagery (Psychology) --- Imagination --- Visual perception --- Engineering --- Engineering analysis --- Mathematical analysis --- Math --- Science --- Mathematics --- Surfaces (Technology) --- Thin films --- Classical and Continuum Physics. --- Mathematical and Computational Engineering. --- Mathematical physics. --- Physical mathematics
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This book is a treatise on the thermodynamic and dynamic properties of thin liquid films at solid surfaces and, in particular, their rupture instabilities. For the quantitative study of these phenomena, polymer thin films haven proven to be an invaluable experimental model system. What is it that makes thin film instabilities special and interesting, warranting a whole book? There are several answers to this. Firstly, thin polymeric films have an important range of applications, and with the increase in the number of technologies available to produce and to study them, this range is likely to expand. An understanding of their instabilities is therefore of practical relevance for the design of such films. Secondly, thin liquid films are an interdisciplinary research topic. Interdisciplinary research is surely not an end to itself, but in this case it leads to a fairly heterogeneous community of theoretical and experimental physicists, engineers, physical chemists, mathematicians and others working on the topic. It justifies attempting to write a text which aims at a coherent, theoretical presentation of the field which researchers across their specialised communities might be interested in. And finally, thin liquid films are an interesting laboratory for a theorist to confront a well-established theory, hydrodynamics, with its limits. Liquids at surfaces take notice of the surface they are placed upon, and this is reflected in their dynamics. And the polymers, when confined to thin films, can imprint molecular properties on the film dynamics. The material in the book is arranged in two Parts. Part I covers the basics of wetting and dewetting phenomena, and is of interest to researchers working in the field also outside of polymeric systems. It can be read as a brief introduction into the theory of wetting phase transitions. Part II delves exclusively into polymeric thin films, their mathematical description, and the confrontation with experiment. The present book attempts to bridge between the ‘light’ and the ‘rigorous’, always with the ambition to enhance insight and understanding - and to not let go the elegance of the theory.
Chemistry, Physical organic. --- Physics. --- Polymers. --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Electricity & Magnetism --- Liquid films. --- Polymeric composites --- Fluid mechanics. --- Composite polymeric materials --- Polymer-matrix composites --- Films, Liquid --- Physical chemistry. --- Amorphous substances. --- Complex fluids. --- Surfaces (Physics). --- Interfaces (Physical sciences). --- Thin films. --- Materials --- Surface and Interface Science, Thin Films. --- Physical Chemistry. --- Surfaces and Interfaces, Thin Films. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Polymer Sciences. --- Theoretical, Mathematical and Computational Physics. --- Surfaces. --- Reinforced plastics --- Surfaces (Technology) --- Thin films --- Polymere --- Polymeride --- Polymers and polymerization --- Macromolecules --- Surface chemistry --- Chemistry, Physical organic --- Chemistry, Organic --- Chemistry, Physical and theoretical --- Materials—Surfaces. --- Polymers . --- Mathematical physics. --- Physical mathematics --- Complex liquids --- Fluids, Complex --- Amorphous substances --- Liquids --- Soft condensed matter --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Films, Thin --- Solid film --- Solid state electronics --- Solids --- Coatings --- Thick films --- Surfaces (Physics) --- Mathematics
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