GENERAL
SCHEDULE |
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The scientific part of the school will consist of three main elements: 1. Morning: 3 one-hour lectures in the morning 2. Late afternoon: 1 hour of short presentations given by the participants of the school (voluntary, but strongly encouraged) 3. Early evening: Computational and experimental tutorials/labs. The early afternoon will be free for discussions, project work or leisure activities. Lectures begin on Tuesday, 10th of January at 8.45 am and finish Friday noon, 20th of January. Sunday is free. Arrival
at Les Houches, Ecole de Physique on Monday the 9th, in the afternoon
after 15:00. Departure from Les Houches, Ecole de Physique on Friday the
20th, after lunch.
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Section title (click for more information) |
time |
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Introduction to the physics of foams | 1
h |
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From film to foam | 4
h |
|
Space filling cellular patterns | 4
h |
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Equilibrium and energy minimisation | 5
h |
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Foam and emulsion rheology | 5
h |
|
Foam drainage | 3
h |
|
Practical aspects | 5
h |
|
Perspectives | 3
h |
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LECTURES
DETAILED |
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Introduction to the physics of foams | 1
h |
|
Definitions and vocabulary, history, problems | ||
back to top | ||
From film to foam | 4
h |
|
Chemistry: |
foaming
and antifoaming agents |
|
Single
films: |
stability,
rupture, disjunction pressure, matching to Plateau borders |
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Interface
mechanics: |
surface
elasticity and viscosity Film, Plateau borders, vertices, bubbles, foams |
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Pressures
in foams: |
disjunction,
osmotic, hydrostatic, Laplace |
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Fabrication
of foams: |
basic
theory, introduction to tutorials |
|
back to top | ||
Space filling cellular patterns | 4
h |
|
Pattern formation: | different mechanisms leading to cellular patterns | |
Foam topology: | Euler and topological Gauss theorems | |
Solid cellular materials: | relations with fluid foams | |
Biological cellular structures: | relations with fluid foams | |
back to top | ||
Equilibrium and energy minimisation | 5
h |
|
Minimal
surfaces: |
equations, zero or constant mean curvature, relations with fluid foams | |
2D foams: | Plateau rules, consequences, minimal perimeter problem, honeycomb | |
3D foams: | Plateau rules, consequences, minimal surface problem, Kelvin, Weaire-Phelan | |
Dry foam coarsening: | review in 2D and 3D, growth law, scaling exponent, scaling state | |
Aging in other systems: | Ostwald ripening, colloids, pastes, emulsions, wet foams | |
back to top | ||
Foam and emulsion rheology | 5
h |
|
Complex
fluids in general: |
basic notions, yield, viscoelasticity, granular media | |
Foam elasticity: | elastic modulus, effect of fluid fraction | |
Foam plasticity: | rearrangements | |
Dissipation: | foam flows, local and global dissipations | |
Stresses: | dilatancy, normal stresses | |
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Foam drainage | 3
h |
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Theories,
experiments and simulations Forced, free, pulsed and oscillatory drainage Boundary conditions Microgravity and capillary driven diffusion |
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Microscopic drainage: | single Plateau border, single film | |
Drainage instabilities: | convective, meandering | |
back to top | ||
Practical aspects | 5
h |
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3D non-invasive imaging: | optical and X-ray tomography, NMR, confocal microscopy | |
Non-invasive probes: | conductivity,
acoustics |
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Waves and random media: | sound, light, shocks | |
Simulations: | introduction to tutorials; energy minimisation, continuous media, viscous froth | |
Industrial
applications |
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Microfluidics: | confined flows, including discrete microfluidics with foams | |
back to top | ||
Perspectives | 3
h |
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Open
problems: yield, fractures , scaling state, future 2006 open problems Emerging questions in 2006 Summary and conclusion |
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TUTORIALS | ||
•
Basic foam fabrication and manipulations • Advanced foam fabrication • Tomography and 3D image reconstruction • Multiple light scattering • Drainage • Protein-stabilised foams • Particle-stabilised foams • Diffusing wave spectroscopy • Conductivity measurements • Rheometry • Magnetic foams • Fabrication of foams • Image analysis and morphometry • Strain and force measurements • Interface properties and stability of films • Current open problems: yield, 3D scaling state • Emerging topics: foams for microfluidics, fractures • Acoustics of foams • Acoustics of disordered media/relations with liquid foams • Potts model • Surface Evolver • Simulations of dissipation • Pedagogy and popular science: models, bubbles, soap films • Surface tension and other industrial measurements |
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10.1. (Tue) | Gaelle,
Andretta |
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11.1. (Wed) | Cervantes,
Alfredo Somosvari, Bela Marton Dame, Cecile Bikard, Jerome Babcsan, Norbert |
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12.1. (Thu) |
Mokso, Rajmund Terriac, Emmanuel Van der Net, Antje Delaney, Gary |
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13.1. (Fri) | Durand,
Mark |
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14.1. (Sat) | no presentations | |
15.1. (Sun) | no presentations | |
16.1. (Mon) | Krishan,
Kapil Goldenberg, Chay Cixous, Pierre Ramaioli, Marco Fritz, Christelle |
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17.1. (Tue) | Raven,
Jan-Paul Lorenceau, Elise Yip Cheung, Sang Yann Marchalot, Julien Derec, Caroline |
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18.1. (wed) | Feitosa,
Klebert Boyaval, Sebastien Kaefer, Jos Canete, Antonio Gochew, Georgi |
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19.1. (Thu) | no presentations | |