63 rd Annual DFD Meeting of the American Physical Society Long Beach, California
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Transcript of 63 rd Annual DFD Meeting of the American Physical Society Long Beach, California
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Contact line dynamics of a liquid meniscus advancinginto a microchannel with chemical heterogeneitiesC. Wylock1, M. Pradas2, B. Haut1, P. Colinet1 and S. Kalliadasis2
1 Université Libre de Bruxelles – Transfers, Interfaces and Processes2 Imperial College London – Chemical Engineering Department
63rd Annual DFD Meetingof the American Physical SocietyLong Beach, CaliforniaNovember 21-23, 2010
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Motivation Contact line dynamics
• Rapidly growing fields of:─ Microfluidics─ Miniaturisation of chemical devices
• Small length scale solid surface properties become crucial
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Goal Gas-liquid meniscus moving in a "Hele-Shaw cell like "
microchannel Surface chemically heterogeneous spatial
distribution of wetting properties 2 configurations
Effect of chemical heterogeneities on meniscus dynamics ?
2D configuration 3D configuration
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Modelling Phase field approach
• f represents the 2 phases• Interface at f=0
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Modelling Phase field approach
• f represents the 2 phases• Interface at f=0
Equilibrium given by Ginzburg-Landau model
Free energy formulation
Double-well potential
Chemical potential
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Modelling Phase field approach
• f represents the 2 phases• Interface at f=0
Equilibrium given by Ginzburg-Landau model
Free energy formulation
Double-well potential
Chemical potential
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Modelling Wetting boundary condition
Conserved dynamic equation
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Standard deviation s= disorder strength
with[1]
[1] Cahn, J. Chem. Phys. 66 (1977), 3667
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Results and discussion 2D configuration
• Typical simulation result
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Results and discussion 2D configuration
• Typical simulation result• Statistical analysis on several disorder realisations
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Results and discussion 2D configuration
• Typical simulation result• Statistical analysis on several disorder realisations
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Results and discussion 2D configuration
• Typical simulation result• Statistical analysis on several disorder realisations
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Results and discussion 2D configuration
• Typical simulation result• Statistical analysis on several disorder realisations
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Results and discussion 2D configuration
• Typical simulation result• Statistical analysis on several disorder realisations
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Chemical disorder contact angle hysteresis enhanced by disorder strength
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Results and discussion 3D configuration
• Contact line dynamics: preliminary analysis─ interface width follows fractal dynamics
( scale-invariant growth)
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Results and discussion 3D configuration
• Contact line dynamics: preliminary analysis─ interface width follows fractal dynamics
( scale-invariant growth)─ pinning-depinning effects and associated avalanche dynamics
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Avalanche sitePinning site
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Results and discussion 3D configuration
• Contact line dynamics: preliminary analysis─ interface width follows fractal dynamics
( scale-invariant growth)─ pinning-depinning effects and associated avalanche dynamics
induced by the chemical disorder
Statistical analysis to perform for various disorder configurations
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Conclusion and future plans Phase field contact line dynamics in chemically
heterogeneous microchannel Chemical disorder induces
• 2D: hysteresis of contact angle hysteresis “jump” function of disorder strength
• 3D: kinetic roughening process of contact line motion, pinning-depinning effects
Future plans• Statistical analysis for 3D configuration:
─ Characterization of the scaling growth factors ─ Avalanche dynamics
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Modelling Boundary conditions for 2D configuration
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Modelling Boundary conditions for 3D configuration
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Results and discussion 2D configuration
• Typical simulation result• Statistical analysis on several disorder realisations
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Chemical disorder contact angle hysteresis enhanced by disorder strength
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Results and discussion 3D configuration
• Typical simulation results
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Results and discussion 3D configuration
• Typical simulation results• Contact line dynamic: preliminary analysis
─ interface width growth follows fractal dynamic
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