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1 | (16) |
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1 | (1) |
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1 | (1) |
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1.2 On your plate and in your glass |
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1 | (2) |
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1.3 Detergents and cosmetics |
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3 | (1) |
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1.4 Spontaneous or undesirable foams |
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4 | (1) |
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4 | (1) |
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2.1 Physico-chemical constituents |
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4 | (1) |
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2.2 Geometrical and physical properties |
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5 | (1) |
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2.3 Mechanical properties |
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6 | (1) |
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3 What are foams used for? |
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6 | (1) |
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6 | (2) |
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8 | (1) |
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4 Solid foams and other cellular systems |
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9 | (1) |
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9 | (2) |
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4.2 Other cellular structures |
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11 | (2) |
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13 | (1) |
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5.1 Three ways to make a foam |
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13 | (1) |
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14 | (3) |
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15 | (2) |
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17 | (58) |
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1 Description at all length-scales |
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17 | (1) |
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1.1 At the scale of a gas/liquid interface |
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17 | (2) |
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1.2 At the scale of a film |
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19 | (2) |
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1.3 At the scale of a bubble |
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21 | (1) |
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1.4 At the scale of a foam |
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22 | (1) |
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23 | (1) |
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2.1 Equilibrium of fluid interfaces |
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23 | (3) |
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26 | (5) |
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30 | (1) |
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3.1 Number of neighbours: topology |
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31 | (4) |
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35 | (3) |
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3.3 Topology and geometry |
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38 | (8) |
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45 | (1) |
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4.1 Modification of the structure |
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46 | (5) |
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51 | (3) |
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54 | (3) |
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55 | (2) |
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5.1 3D structure of a monolayer of bubbles between two plates |
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57 | (1) |
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5.2 A model for a dry 2D foam |
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58 | (2) |
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5.3 Two-dimensional liquid fraction |
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60 | (1) |
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61 | (2) |
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63 | (1) |
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6.1 Surface tension and surfactants |
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63 | (2) |
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6.2 Creation and observation of 2D and quasi-2D foams |
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65 | (1) |
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66 | (2) |
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68 | (1) |
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69 | (1) |
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7.1 Interfacial area of a foam |
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69 | (1) |
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7.2 Film tension and the Young-Laplace law |
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69 | (1) |
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70 | (1) |
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71 | (1) |
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7.5 Perimeter of a regular 2D bubble |
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71 | (1) |
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72 | (3) |
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72 | (3) |
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75 | (92) |
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75 | (1) |
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1.1 The competition between different processes |
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75 | (3) |
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1.2 Elementary topological processes |
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78 | (4) |
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82 | (1) |
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2.1 Foamability: introduction to the role of surfactants |
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82 | (1) |
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2.2 Interfacial properties and foamability |
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82 | (10) |
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2.3 Properties of liquid films and foamability |
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92 | (6) |
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2.4 Summary of the microscopic origins of foamability |
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98 | (1) |
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99 | (1) |
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3.1 Growth rate of a bubble in a dry foam |
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99 | (5) |
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3.2 Evolution of bubble distributions in a dry foam |
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104 | (5) |
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3.3 Effects of different parameters |
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109 | (5) |
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113 | (1) |
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114 | (1) |
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114 | (1) |
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115 | (1) |
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4.4 Modelling flows in solid porous media |
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116 | (3) |
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4.5 Modelling the permeability of a liquid foam |
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119 | (8) |
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127 | (1) |
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4.7 Comparison of theoretical predictions with experiments |
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128 | (5) |
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133 | (1) |
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5 Rupture and coalescence |
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134 | (1) |
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5.1 Rupture at the scale of a single film |
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134 | (6) |
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5.2 Rupture at the scale of a foam |
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140 | (1) |
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5.3 Defoamers and antifoams |
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140 | (5) |
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145 | (1) |
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145 | (6) |
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6.2 Dissipation due to surfactant motion during the steady expansion of a film |
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151 | (3) |
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154 | (1) |
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154 | (2) |
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7.2 Free drainage in a foam and the vertical motion of bubbles |
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156 | (1) |
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7.3 Forced drainage in a foam: observation of the wetting front |
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157 | (1) |
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7.4 Life and death of a foam measured by electrical conductivity |
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158 | (3) |
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161 | (1) |
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8.1 Exponent in the scale-invariant regime |
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161 | (1) |
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8.2 Frumkin equation of state |
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161 | (1) |
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8.3 Foam drainage and equilibrium height |
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161 | (1) |
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8.4 Drainage in the bulk and at the wall |
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162 | (1) |
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8.5 Free drainage: characteristic times and liquid fraction profiles |
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162 | (1) |
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8.6 The true 3D pressure and 2D surface pressure |
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162 | (5) |
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162 | (5) |
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167 | (58) |
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167 | (1) |
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2 Overview of the theological behaviour of complex fluids |
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168 | (1) |
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168 | (4) |
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172 | (1) |
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2.3 Small and large strains |
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173 | (1) |
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2.4 Stress tensor in a complex fluid |
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174 | (4) |
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3 Local origin of theological properties |
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178 | (1) |
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3.1 Elastic shear modulus of a dry monodisperse foam |
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178 | (5) |
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3.2 The elastic limit of a dry foam |
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183 | (4) |
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3.3 Dissipative processes |
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187 | (7) |
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4 The multiscale character of foam rheology |
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193 | (1) |
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194 | (14) |
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4.2 Transition from solid to liquid behaviour |
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208 | (3) |
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211 | (6) |
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5 Appendix: From the discrete to the continuous |
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215 | (2) |
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217 | (1) |
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217 | (1) |
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6.2 Visualization of the yield stress |
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217 | (1) |
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218 | (1) |
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7.1 The Young-Laplace law and the stress in a spherical bubble |
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218 | (1) |
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7.2 Elasticity of a dry 2D foam |
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219 | (1) |
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219 | (1) |
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7.4 Stress and strain in a square lattice |
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220 | (1) |
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7.5 Elasticity and plasticity |
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220 | (1) |
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7.6 Compressibility of a foam |
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221 | (4) |
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221 | (4) |
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5 Experimental and numerical methods |
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225 | (31) |
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225 | (1) |
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1.1 Methods used to study interfaces and isolated films |
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225 | (5) |
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1.2 Methods for studying foams |
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230 | (12) |
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242 | (1) |
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2.1 Predicting static structure |
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242 | (2) |
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244 | (4) |
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3 Methods of image analysis |
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248 | (1) |
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248 | (2) |
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250 | (4) |
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3.3 Image analysis, liquid fraction, and stress in 2D |
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254 | (1) |
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255 | (1) |
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4.1 Measurement of the average liquid fraction of a foam |
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255 | (1) |
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4.2 Pressure in the Potts model |
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255 | (1) |
References |
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256 | (3) |
Notation |
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259 | (4) |
Index |
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263 | |