Foams structure and dynamics

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Sprache:English
Veröffentlicht: Oxford Oxford Univ. Press 2013
Ausgabe:1. ed.
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Datensatz im Suchindex

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adam_text Foams are ubiquitous in our daily lives. Their presence is highly desirable in certain foods, drinks and cosmetics, and they are essential in oil recovery and mineral extraction. Yet in some industrial processes foams are an unwelcome by-product. Why do they appear? What controls the rate at which they disappear? Do they flow in the same way as ordinary liquids? All of these questions and more are addressed here, incorporating significant recent contributions to the field of foams. This book is the first to provide a thorough description of all aspects of the physical and physico-chemical properties of liquid foams. It sets out what is known about their structure, their stability, and their rheology. Engineers, researchers, and students will find all the key concepts illustrated by numerous examples and applications, as well as an overview of experimental and computational techniques for the study of foams, and experiments and exercises for the reader. Isabelle Cântat is a Professor at the Université de Rennes 1, and a Research Scientist at the Institut de Physique de Rennes, Université de Rennes 1. Sylvie Cohen-Addad is a Professor at the Université Paris-Est Marne-la-Vallée, and a Research Scientist at the Institut des Nano- Sciences de Paris, Université Pierre et Marie Curie - Paris 6. Florence Elias is a Lecturer at the Université Pierre et Marie Curie - Paris 6, and a Research Scientist at the Laboratoire Matière et Systèmes Complexes, Université Paris 7. François Graner is a Senior CNRS Research Scientist at the Laboratoire Matière et Systèmes Complexes, Université Paris 7. Reinhard Höhler is a Professor at the Université Paris-Est Marne-la-Valiée, and a Research Scientist at the Institut des Nano-Sciences de Paris, Université Pierre et Marte Curie - Paris 6. Mivier Pitois ¡s a Senior IFSTTAR Research Scientist at the Laboratoire Navier, CNRS, Écote des Ponts ParisTech, IFSTTAR. :torence Rouyer is a Lecturer at the Université Paris-Est Marne-la-Vallée, and a Research Scientist at the Laboratoire Navier, CNRS, École des Ponts ParisTech, IFSTTAR. Arnaud Saint-Jalmes is a Senior CNRS Research Scientist at the Institut de Physique de Rennes, Université de Rennes 1. Translated by Ruth Flatman. Scientific editor (English edition) Simon Cox. This is a wide survey of the basic physics of foams, composed by a team of distinguished contributors to the field. Well organised and attractively illustrated, it will be an essential guide to our present understanding of the subject. Denis Weaire, School of Physics, Trinity College Dublin This is a comprehensive survey of foam science written by some of the leading practitioners in the field. The book is particularly effective at covering dynamic aspects, including foam rheology, a subject that has developed immensely in recent years: the book is therefore an exceedingly valuable reference. Paul Grassia, School of Chemical Engineering and Analytical Science, University of Manchester Cover photograph: A liquid foam some time after its creation. Photograph courtesy of S. Cohen-Addad, R.M. GuiUermic, and A. Saint-Jalmes. Contents 1 Uses of foams 1 1 The foams around us 1 1.1 Foams in mythology 1 1.2 On your plate and in your glass 1 1.3 Detergents and cosmetics 3 1.4 Spontaneous or undesirable foams 4 2 Foam identification 4 2.1 Physico-chemical constituents 4 2.2 Geometrical and physical properties 5 2.3 Mechanical properties 6 3 What are foams used for? 6 3.1 Desirable functions 6 3.2 Mineral flotation 8 4 Solid foams and other cellular systems 9 4.1 Solid foams 9 4.2 Other cellular structures 11 5 Experiments 13 5.1 Three ways to make a foam 13 5.2 Chocolate mousse 14 References 15 2 Foams at equilibrium 17 1 Description at all length-scales 17 1.1 At the scale of a gas/liquid interface 17 1.2 At the scale of a film 19 1.3 At the scale of a bubble 21 1.4 At the scale of a foam 22 2 Local equilibrium laws 23 2.1 Equilibrium of fluid interfaces 23 2.2 Plateau s laws 26 3 Dry foams 30 3.1 Number of neighbours: topology 31 3.2 Bubble geometrv 35 3.3 Topology and geometry oo 4 Wet foams 45 4.1 Modification of the structure 4б 4.2 Osmotic pressure 4.3 Role of gravity 54 χ Contents 5 2D and quasi-20 foams 55 5.1 3D structure of a monolayer of bubbles between two plates 57 5.2 A model for a dry 2D foam 58 5.3 Two-dimensional liquid fraction 60 5.4 2D foam flows 61 6 Experiments 63 6.1 Surface tension and surfactants 63 6.2 Creation and observation of 2D and quasi-2D foams 65 6.3 Giant soap films 66 6.4 Kelvin cell 68 7 Exercises 69 7.1 Interfacial area of a foam 69 7.2 Film tension and the Young-Laplace law 69 7.3 Plateau s laws in 2D 70 7.4 Eulers formula 71 7.5 Perimeter of a regular 2D bubble 71 7.6 Energy and pressure 72 References 72 3 Birth, life, and death 75 1 Foam evolution 75 1.1 The competition between different processes 75 1.2 Elementary topological processes 78 2 Birth of a foam 82 2.1 Foamability: introduction to the role of surfactants 82 2.2 Interfacial properties and foamability 82 2.3 Properties of liquid films and foamability 92 2.4 Summary of the microscopic origins of foamability 98 3 Coarsening 99 3.1 Growth rate of a bubble in a dry foam 99 3.2 Evolution of bubble distributions in a dry foam 104 3.3 Effects of different parameters 109 4 Drainage 113 4.1 What is drainage? 114 4.2 Free drainage 114 4.3 Forced drainage 115 4.4 Modelling flows in solid porous media 116 4.5 Modelling the permeability of a liquid foam 119 4.6 Drainage equations 127 4.7 Comparison of theoretical predictions with experiments 128 4.8 Summary and remarks 133 5 Rupture and coalescence 134 5.1 Rupture at the scale of a single film 134 5.2 Rupture at the scale of a foam 140 5.3 Defoamers and antifoams 140 Contents xi 6 Appendices 145 6.1 Stabilizing agents 145 6.2 Dissipation due to surfactant motion during the steady expansion of a film ^51 7 Experiments I54 7.1 Flow in a soap film I54 7.2 Free drainage in a foam and the vertical motion of bubbles 156 7.3 Forced drainage in a foam: observation of the wetting front 157 7.4 Life and death of a foam measured by electrical conductivity 158 8 Exercises 161 8.1 Exponent in the scale-invariant regime 161 8.2 Frumkin equation of state 161 8.3 Foam drainage and equilibrium height 161 8.4 Drainage in the bulk and at the wall 162 8.5 Free drainage: characteristic times and liquid fraction profiles 162 8.6 The true 3D pressure and 2D surface pressure 162 References 162 Rheology 167 1 Introduction 167 2 Overview of the rheological behaviour of complex fluids 168 2.1 Constitutive laws 168 2.2 Shear tests 172 2.3 Small and large strains 173 2.4 Stress tensor in a complex fluid 174 3 Local origin of rheological properties 178 3.1 Elastic shear modulus of a dry monodisperse foam 178 3.2 The elastic limit of a dry foam 183 3.3 Dissipati ve processes 187 4 The multiscale character of foam rheology 193 4.1 Solid behaviour 194 4.2 Transition from solid to liquid behaviour 208 4.3 Foam flow 211 5 Appendix: From the discrete to the continuous 215 6 Experiments 217 6.1 Observation of Τ Is 217 6.2 Visualization of the yield stress 217 7 Exercises 218 7.1 The Young-Laplace law and the stress in a spherical bubble 218 7.2 Elasticity of a dry 2D foam 219 7.3 Poynting s law 219 7.4 Stress and strain in a square lattice 220 7.5 Elasticity and plasticity 220 7.6 Compressibility of a foam 221 References 221 xii Contents 5 Experimental and numerical methods 225 1 Experimental methods 225 1.1 Methods used to study interfaces and isolated films 225 1.2 Methods for studying foams 230 2 Numerical simulations 242 2.1 Predicting static structure 242 2.2 Predicting dynamics 244 3 Methods of image analysis 248 3.1 Image treatment 248 3.2 Image analysis 250 3.3 Image analysis, liquid fraction, and stress in 2D 254 4 Exercises 255 4.1 Measurement of the average liquid fraction of a foam 255 4.2 Pressure in the Potts model 255 References 256 Notation 259 Index 263
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spellingShingle Foams structure and dynamics
Schaum (DE-588)4116372-2 gnd
subject_GND (DE-588)4116372-2
title Foams structure and dynamics
title_alt Les mousses
title_auth Foams structure and dynamics
title_exact_search Foams structure and dynamics
title_full Foams structure and dynamics I. Cantat ...
title_fullStr Foams structure and dynamics I. Cantat ...
title_full_unstemmed Foams structure and dynamics I. Cantat ...
title_short Foams
title_sort foams structure and dynamics
title_sub structure and dynamics
topic Schaum (DE-588)4116372-2 gnd
topic_facet Schaum
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